Leader of the research group: Michał Horodecki
Senior reserchers: Robert Alicki, Alejandro Jenkins, John Selby
Post-docs: Luis Cort, Marco Erba, Andre Malavazi, Borhan Ahmadi, Ankit Kumar
PhD students: Gerardo Suarez, Matthias Salzger, Sina Soltani , Rishav Sagar, Idriss Ngueya Nkouatchoua
The group New Quantum Resources II deals with a broad spectrum of topics, related to such resources as nonlocality/contextuality, entanglement, randomness, athermality, and others.
Activity
Specific research tasks of the group include:
1) Quantum open systems and quantum thermodynamics
a. Open problems on Thermal Operations
b. Efficiencies of engines based on Thermal Operations
c. The notion of work in micro regime; quantum batteries
d. Dynamical description of thermal quantum machines in various systems, including solar cells, thermoelectric generators, life-harvesting systems
e. Thermodynamics with explicit battery; fluctuation relations
f. Study limitations of Markovian evolution in thermodynamical context
2) Resources for quantum computing:
a. Contextuality/nonlocality, their relation to quantum speedup (in collaboration with NRQ)
b. Quantum gates, t-designs, random circuits.
c. POVMs – their power versus von Neumann measurements and application to quantum algorithms
3) Quantum communication:
a. Port based teleportation – various variants, related group representation problems
b. Quantum error correction
c. Randomness amplification/extraction, secret key extraction (in collaboration with NRQ)
4) Bell inequalities
a. Employing graph theoretic tools
b. Large violation
Publications
2023
- John H. Selby, David Schmid, Elie Wolfe, Ana Belén Sainz, Ravi Kunjwal, and Robert W. Spekkens. Contextuality without Incompatibility. Physical Review Letters, 130(23), 2023. doi:10.1103/PhysRevLett.130.230201
[BibTeX]@ARTICLE{Selby2023, author = {Selby, John H. and Schmid, David and Wolfe, Elie and Sainz, Ana Belén and Kunjwal, Ravi and Spekkens, Robert W.}, title ="{Contextuality without Incompatibility}", year = {2023}, journal = {Physical Review Letters}, volume = {130}, number = {23}, doi = {10.1103/PhysRevLett.130.230201}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85161941733&doi=10.1103%2fPhysRevLett.130.230201&partnerID=40&md5=f329d241bdcd7251ed989c13ab4c4231}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 3; All Open Access, Green Open Access} } - Marek Winczewski, Tamoghna Das, John H. Selby, Karol Horodecki, Pawel Horodecki, Lukasz Pankowski, Marco Piani, and Ravishankar Ramanathan. Complete extension: the non-signalling analog of quantum purification. Quantum, 7, 2023. doi:10.22331/q-2023-11-03-1159
[BibTeX]@ARTICLE{Winczewski2023, author = {Winczewski, Marek and Das, Tamoghna and Selby, John H. and Horodecki, Karol and Horodecki, Pawel and Pankowski, Lukasz and Piani, Marco and Ramanathan, Ravishankar}, title ="{Complete extension: the non-signalling analog of quantum purification}", year = {2023}, journal = {Quantum}, volume = {7}, doi = {10.22331/q-2023-11-03-1159}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85176909214&doi=10.22331%2fq-2023-11-03-1159&partnerID=40&md5=450677e25e45ac6240c54772bd1d32f8}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 0; All Open Access, Gold Open Access, Green Open Access} } - John H. Selby, Ana Belén Sainz, Victor Magron, Lukasz Czekaj, and Michal Horodecki. Correlations constrained by composite measurements. Quantum, 7, 2023. doi:10.22331/q-2023-08-10-1080
[BibTeX]@ARTICLE{Selby2023aa, author = {Selby, John H. and Sainz, Ana Belén and Magron, Victor and Czekaj, Lukasz and Horodecki, Michal}, title ="{Correlations constrained by composite measurements}", year = {2023}, journal = {Quantum}, volume = {7}, doi = {10.22331/q-2023-08-10-1080}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85169686733&doi=10.22331%2fq-2023-08-10-1080&partnerID=40&md5=bf8a6adbb5b3130562acee738993794c}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 2; All Open Access, Gold Open Access, Green Open Access} } - R. R. Rodríguez, B. Ahmadi, P. Mazurek, S. Barzanjeh, R. Alicki, and P. Horodecki. Catalysis in charging quantum batteries. Physical Review A, 107(4), 2023. doi:10.1103/PhysRevA.107.042419
[BibTeX]@ARTICLE{Rodríguez2023, author = {Rodríguez, R.R. and Ahmadi, B. and Mazurek, P. and Barzanjeh, S. and Alicki, R. and Horodecki, P.}, title ="{Catalysis in charging quantum batteries}", year = {2023}, journal = {Physical Review A}, volume = {107}, number = {4}, doi = {10.1103/PhysRevA.107.042419}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85153857636&doi=10.1103%2fPhysRevA.107.042419&partnerID=40&md5=dae2015bff529cefcbe46cbcfe3b49b0}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 3; All Open Access, Green Open Access} } - Robert Alicki, Michał Horodecki, Alejandro Jenkins, Marcin Łobejko, and Gerardo Suárez. The Josephson junction as a quantum engine. New Journal of Physics, 25(11), 2023. doi:10.1088/1367-2630/ad06d8
[BibTeX]@ARTICLE{Alicki2023aa, author = {Alicki, Robert and Horodecki, Michał and Jenkins, Alejandro and Łobejko, Marcin and Suárez, Gerardo}, title ="{The Josephson junction as a quantum engine}", year = {2023}, journal = {New Journal of Physics}, volume = {25}, number = {11}, doi = {10.1088/1367-2630/ad06d8}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85178435916&doi=10.1088%2f1367-2630%2fad06d8&partnerID=40&md5=e470cc3498b87dd8f452581e0687dd97}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 0; All Open Access, Gold Open Access, Green Open Access} } - John H. Selby, David Schmid, Elie Wolfe, Ana Belén Sainz, Ravi Kunjwal, and Robert W. Spekkens. Accessible fragments of generalized probabilistic theories, cone equivalence, and applications to witnessing nonclassicality. Physical Review A, 107(6), 2023. doi:10.1103/PhysRevA.107.062203
[BibTeX]@ARTICLE{Selby2023ab, author = {Selby, John H. and Schmid, David and Wolfe, Elie and Sainz, Ana Belén and Kunjwal, Ravi and Spekkens, Robert W.}, title ="{Accessible fragments of generalized probabilistic theories, cone equivalence, and applications to witnessing nonclassicality}", year = {2023}, journal = {Physical Review A}, volume = {107}, number = {6}, doi = {10.1103/PhysRevA.107.062203}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85161891900&doi=10.1103%2fPhysRevA.107.062203&partnerID=40&md5=cb35e56c68dc3635ab117f3b2355cca3}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 5; All Open Access, Green Open Access} } - Mischa P. Woods and Michał Horodecki. Autonomous Quantum Devices: When Are They Realizable without Additional Thermodynamic Costs. Physical Review X, 13(1), 2023. doi:10.1103/PhysRevX.13.011016
[BibTeX]@ARTICLE{Woods2023, author = {Woods, Mischa P. and Horodecki, Michał}, title ="{Autonomous Quantum Devices: When Are They Realizable without Additional Thermodynamic Costs}", year = {2023}, journal = {Physical Review X}, volume = {13}, number = {1}, doi = {10.1103/PhysRevX.13.011016}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85149637166&doi=10.1103%2fPhysRevX.13.011016&partnerID=40&md5=7b0992705b5adc0921030ee384ce333e}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 2; All Open Access, Gold Open Access, Green Open Access} } - Vinicius P. Rossi, David Schmid, John H. Selby, and Ana Belén Sainz. Contextuality with vanishing coherence and maximal robustness to dephasing. Physical Review A, 108(3), 2023. doi:10.1103/PhysRevA.108.032213
[BibTeX]@ARTICLE{Rossi2023, author = {Rossi, Vinicius P. and Schmid, David and Selby, John H. and Sainz, Ana Belén}, title ="{Contextuality with vanishing coherence and maximal robustness to dephasing}", year = {2023}, journal = {Physical Review A}, volume = {108}, number = {3}, doi = {10.1103/PhysRevA.108.032213}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85173002700&doi=10.1103%2fPhysRevA.108.032213&partnerID=40&md5=27078c9622a1a9658d9faed8ab865bf8}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 2; All Open Access, Green Open Access} } - Thomas D. Galley, Flaminia Giacomini, and John H. Selby. Any consistent coupling between classical gravity and quantum matter is fundamentally irreversible. Quantum, 7, 2023. doi:10.22331/q-2023-10-16-1142
[BibTeX]@ARTICLE{Galley2023, author = {Galley, Thomas D. and Giacomini, Flaminia and Selby, John H.}, title ="{Any consistent coupling between classical gravity and quantum matter is fundamentally irreversible}", year = {2023}, journal = {Quantum}, volume = {7}, doi = {10.22331/q-2023-10-16-1142}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85176809465&doi=10.22331%2fq-2023-10-16-1142&partnerID=40&md5=edf2cc02a53da241cc932f0a24ee1469}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 0; All Open Access, Gold Open Access, Green Open Access} }
2022
- Tanmoy Biswas, De Oliveira A. Junior, Michał Horodecki, and Kamil Korzekwa. Fluctuation-dissipation relations for thermodynamic distillation processes. Physical Review E, 105(5), 2022. doi:10.1103/PhysRevE.105.054127
[BibTeX]@ARTICLE{Biswas2022, author = {Biswas, Tanmoy and Junior, A. De Oliveira and Horodecki, Michał and Korzekwa, Kamil}, title ="{Fluctuation-dissipation relations for thermodynamic distillation processes}", year = {2022}, journal = {Physical Review E}, volume = {105}, number = {5}, doi = {10.1103/PhysRevE.105.054127}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85131307220&doi=10.1103%2fPhysRevE.105.054127&partnerID=40&md5=f93e42a5c7f3962a3e48c3a47ca98666}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 1; All Open Access, Green Open Access} } - Thomas D. Galley, Flaminia Giacomini, and John H. Selby. A no-go theorem on the nature of the gravitational field beyond quantum theory. Quantum, 6, 2022. doi:10.22331/Q-2022-08-17-779
[BibTeX]@ARTICLE{Galley2022, author = {Galley, Thomas D. and Giacomini, Flaminia and Selby, John H.}, title ="{A no-go theorem on the nature of the gravitational field beyond quantum theory}", year = {2022}, journal = {Quantum}, volume = {6}, doi = {10.22331/Q-2022-08-17-779}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85136870199&doi=10.22331%2fQ-2022-08-17-779&partnerID=40&md5=ce8dfcab29c36e54ecd73f0a0fc1f89a}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 17; All Open Access, Gold Open Access, Green Open Access} } - Tanmoy Biswas, Marcin Lobejko, Pawel Mazurek, Konrad Jalowiecki, and Michal Horodecki. Extraction of ergotropy: free energy bound and application to open cycle engines. Quantum, 6, 2022. doi:10.22331/Q-2022-10-17-841
[BibTeX]@ARTICLE{Biswas2022aa, author = {Biswas, Tanmoy and Lobejko, Marcin and Mazurek, Pawel and Jalowiecki, Konrad and Horodecki, Michal}, title ="{Extraction of ergotropy: free energy bound and application to open cycle engines}", year = {2022}, journal = {Quantum}, volume = {6}, doi = {10.22331/Q-2022-10-17-841}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85141245021&doi=10.22331%2fQ-2022-10-17-841&partnerID=40&md5=b22d668011e483dff86184d310aa3838}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 3; All Open Access, Gold Open Access, Green Open Access} } - Karol Horodecki, Marek Winczewski, and Siddhartha Das. Fundamental limitations on the device-independent quantum conference key agreement. Physical Review A, 105(2), 2022. doi:10.1103/PhysRevA.105.022604
[BibTeX]@ARTICLE{Horodecki2022aa, author = {Horodecki, Karol and Winczewski, Marek and Das, Siddhartha}, title ="{Fundamental limitations on the device-independent quantum conference key agreement}", year = {2022}, journal = {Physical Review A}, volume = {105}, number = {2}, doi = {10.1103/PhysRevA.105.022604}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85124528144&doi=10.1103%2fPhysRevA.105.022604&partnerID=40&md5=d2f12620f03238c3f285e83900545ec4}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 6; All Open Access, Green Open Access} } - Marek Winczewski, Tamoghna Das, and Karol Horodecki. Limitations on a device-independent key secure against a nonsignaling adversary via squashed nonlocality. Physical Review A, 106(5), 2022. doi:10.1103/PhysRevA.106.052612
[BibTeX]@ARTICLE{Winczewski2022, author = {Winczewski, Marek and Das, Tamoghna and Horodecki, Karol}, title ="{Limitations on a device-independent key secure against a nonsignaling adversary via squashed nonlocality}", year = {2022}, journal = {Physical Review A}, volume = {106}, number = {5}, doi = {10.1103/PhysRevA.106.052612}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85143197902&doi=10.1103%2fPhysRevA.106.052612&partnerID=40&md5=df504f6a753ef8ea1d575ca39bd45b12}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 1; All Open Access, Green Open Access} } - Paulo J. Cavalcanti, John H. Selby, Jamie Sikora, and Ana Belén Sainz. Decomposing all multipartite non-signalling channels via quasiprobabilistic mixtures of local channels in generalised probabilistic theories. Journal of Physics A: Mathematical and Theoretical, 55(40), 2022. doi:10.1088/1751-8121/ac8ea4
[BibTeX]@ARTICLE{Cavalcanti2022, author = {Cavalcanti, Paulo J. and Selby, John H. and Sikora, Jamie and Sainz, Ana Belén}, title ="{Decomposing all multipartite non-signalling channels via quasiprobabilistic mixtures of local channels in generalised probabilistic theories}", year = {2022}, journal = {Journal of Physics A: Mathematical and Theoretical}, volume = {55}, number = {40}, doi = {10.1088/1751-8121/ac8ea4}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85145575825&doi=10.1088%2f1751-8121%2fac8ea4&partnerID=40&md5=0a28190f48bf4f4eb6f1d643f5d2b252}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 0; All Open Access, Green Open Access, Hybrid Gold Open Access} } - David Schmid, Haoxing Du, John H. Selby, and Matthew F. Pusey. Uniqueness of Noncontextual Models for Stabilizer Subtheories. Physical Review Letters, 129(12), 2022. doi:10.1103/PhysRevLett.129.120403
[BibTeX]@ARTICLE{Schmid2022, author = {Schmid, David and Du, Haoxing and Selby, John H. and Pusey, Matthew F.}, title ="{Uniqueness of Noncontextual Models for Stabilizer Subtheories}", year = {2022}, journal = {Physical Review Letters}, volume = {129}, number = {12}, doi = {10.1103/PhysRevLett.129.120403}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85138913163&doi=10.1103%2fPhysRevLett.129.120403&partnerID=40&md5=804da9d6aa9c312ac79d7da9af0dd310}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 11; All Open Access, Green Open Access} } - Paulo J. Cavalcanti, John H. Selby, Jamie Sikora, Thomas D. Galley, and Ana Belén Sainz. Post-quantum steering is a stronger-than-quantum resource for information processing. npj Quantum Information, 8(1), 2022. doi:10.1038/s41534-022-00574-8
[BibTeX]@ARTICLE{Cavalcanti2022aa, author = {Cavalcanti, Paulo J. and Selby, John H. and Sikora, Jamie and Galley, Thomas D. and Sainz, Ana Belén}, title ="{Post-quantum steering is a stronger-than-quantum resource for information processing}", year = {2022}, journal = {npj Quantum Information}, volume = {8}, number = {1}, doi = {10.1038/s41534-022-00574-8}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85133104573&doi=10.1038%2fs41534-022-00574-8&partnerID=40&md5=d6c64ba8e672f73a41e455c20a9c8f3c}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 5; All Open Access, Gold Open Access, Green Open Access} }
2021
- David Schmid, John H. Selby, Elie Wolfe, Ravi Kunjwal, and Robert W. Spekkens. Characterization of Noncontextuality in the Framework of Generalized Probabilistic Theories. PRX Quantum, 2(1), 2021. doi:10.1103/PRXQuantum.2.010331
[BibTeX]@ARTICLE{Schmid2021, author = {Schmid, David and Selby, John H. and Wolfe, Elie and Kunjwal, Ravi and Spekkens, Robert W.}, title ="{Characterization of Noncontextuality in the Framework of Generalized Probabilistic Theories}", year = {2021}, journal = {PRX Quantum}, volume = {2}, number = {1}, doi = {10.1103/PRXQuantum.2.010331}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104225742&doi=10.1103%2fPRXQuantum.2.010331&partnerID=40&md5=0e27e9ca26fedd114e0b7c1f14a41479}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 24; All Open Access, Gold Open Access, Green Open Access} } - John H. Selby, Carlo Maria Scandolo, and Bob Coecke. Reconstructing quantum theory from diagrammatic postulates. Quantum, 5, 2021. doi:10.22331/q-2021-04-28-446
[BibTeX]@ARTICLE{Selby2021, author = {Selby, John H. and Scandolo, Carlo Maria and Coecke, Bob}, title ="{Reconstructing quantum theory from diagrammatic postulates}", year = {2021}, journal = {Quantum}, volume = {5}, doi = {10.22331/q-2021-04-28-446}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85106310968&doi=10.22331%2fq-2021-04-28-446&partnerID=40&md5=f451b501737be7da365a81c293b5acd2}, type = {Review}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 18; All Open Access, Gold Open Access, Green Open Access} } - Marcin Łobejko, Pawel Mazurek, and Michal Horodecki. Thermodynamics of minimal coupling quantum heat engines. Quantum, 4, 2021. doi:10.22331/Q-2020-12-23-375
[BibTeX]@ARTICLE{Lobejko2021, author = {Łobejko, Marcin and Mazurek, Pawel and Horodecki, Michal}, title ="{Thermodynamics of minimal coupling quantum heat engines}", year = {2021}, journal = {Quantum}, volume = {4}, doi = {10.22331/Q-2020-12-23-375}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85100032687&doi=10.22331%2fQ-2020-12-23-375&partnerID=40&md5=48b2362d40550a93c237d6dab0f4b568}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 10; All Open Access, Gold Open Access, Green Open Access} } - Chandan Datta, Tanmoy Biswas, Debashis Saha, and Remigiusz Augusiak. Perfect discrimination of quantum measurements using entangled systems. New Journal of Physics, 23(4), 2021. doi:10.1088/1367-2630/abecaf
[BibTeX]@ARTICLE{Datta2021, author = {Datta, Chandan and Biswas, Tanmoy and Saha, Debashis and Augusiak, Remigiusz}, title ="{Perfect discrimination of quantum measurements using entangled systems}", year = {2021}, journal = {New Journal of Physics}, volume = {23}, number = {4}, doi = {10.1088/1367-2630/abecaf}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85104503384&doi=10.1088%2f1367-2630%2fabecaf&partnerID=40&md5=3c9a9a7d1fb40e34a7717c60408a98a1}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 3; All Open Access, Gold Open Access, Green Open Access} } - Siddhartha Das, Stefan Bäuml, Marek Winczewski, and Karol Horodecki. Universal Limitations on Quantum Key Distribution over a Network. Physical Review X, 11(4), 2021. doi:10.1103/PhysRevX.11.041016
[BibTeX]@ARTICLE{Das2021, author = {Das, Siddhartha and Bäuml, Stefan and Winczewski, Marek and Horodecki, Karol}, title ="{Universal Limitations on Quantum Key Distribution over a Network}", year = {2021}, journal = {Physical Review X}, volume = {11}, number = {4}, doi = {10.1103/PhysRevX.11.041016}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85119098651&doi=10.1103%2fPhysRevX.11.041016&partnerID=40&md5=6531702c3d9ae85b494c63c589f15ac9}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 32; All Open Access, Gold Open Access, Green Open Access} } - Piotr Kopszak, Marek Mozrzymas, Michał Studzinski, and Michał Horodecki. Multiport based teleportation – transmission of a large amount of quantum information. Quantum, 5, 2021. doi:10.22331/Q-2021-11-11-576
[BibTeX]@ARTICLE{Kopszak2021, author = {Kopszak, Piotr and Mozrzymas, Marek and Studzinski, Michał and Horodecki, Michał}, title ="{Multiport based teleportation - transmission of a large amount of quantum information}", year = {2021}, journal = {Quantum}, volume = {5}, doi = {10.22331/Q-2021-11-11-576}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85120946963&doi=10.22331%2fQ-2021-11-11-576&partnerID=40&md5=dfec3589892c36c81656179bc80a22c4}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 5; All Open Access, Green Open Access} } - Patryk Lipka-Bartosik, Paweł Mazurek, and Michał Horodecki. Second law of thermodynamics for batteries with vacuum state. Quantum, 5, 2021. doi:10.22331/Q-2021-03-10-408
[BibTeX]@ARTICLE{Lipka-Bartosik2021, author = {Lipka-Bartosik, Patryk and Mazurek, Paweł and Horodecki, Michał}, title ="{Second law of thermodynamics for batteries with vacuum state}", year = {2021}, journal = {Quantum}, volume = {5}, doi = {10.22331/Q-2021-03-10-408}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85103666701&doi=10.22331%2fQ-2021-03-10-408&partnerID=40&md5=62167dadd37e4006612ed2bc43be6ff2}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 5; All Open Access, Gold Open Access, Green Open Access} } - Roberto Salazar, Tanmoy Biswas, Jakub Czartowski, Karol Życzkowski, and Paweł Horodecki. Optimal allocation of quantum resources. Quantum, 5, 2021. doi:10.22331/Q-2021-03-10-407
[BibTeX]@ARTICLE{Salazar2021aa, author = {Salazar, Roberto and Biswas, Tanmoy and Czartowski, Jakub and Życzkowski, Karol and Horodecki, Paweł}, title ="{Optimal allocation of quantum resources}", year = {2021}, journal = {Quantum}, volume = {5}, doi = {10.22331/Q-2021-03-10-407}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85103616655&doi=10.22331%2fQ-2021-03-10-407&partnerID=40&md5=d17b6bfa9afe8008dae4ec62109c7b3c}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 0; All Open Access, Gold Open Access, Green Open Access} }
2020
- Paweł Mazurek, Máté. Farkas, Andrzej Grudka, Michał Horodecki, and Michał Studziński. Quantum error-correction codes and absolutely maximally entangled states. Physical Review A, 101(4), 2020. doi:10.1103/PhysRevA.101.042305
[BibTeX]@ARTICLE{Mazurek2020, author = {Mazurek, Paweł and Farkas, Máté and Grudka, Andrzej and Horodecki, Michał and Studziński, Michał}, title ="{Quantum error-correction codes and absolutely maximally entangled states}", year = {2020}, journal = {Physical Review A}, volume = {101}, number = {4}, doi = {10.1103/PhysRevA.101.042305}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85084914418&doi=10.1103%2fPhysRevA.101.042305&partnerID=40&md5=2fe77eed9aa6b092902eef7750155276}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 10; All Open Access, Green Open Access} } - John H. Selby and Ciarán M. Lee. Compositional resource theories of coherence. Quantum, 4, 2020. doi:10.22331/Q-2020-09-11-319
[BibTeX]@ARTICLE{Selby2020, author = {Selby, John H. and Lee, Ciarán M.}, title ="{Compositional resource theories of coherence}", year = {2020}, journal = {Quantum}, volume = {4}, doi = {10.22331/Q-2020-09-11-319}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85091941968&doi=10.22331%2fQ-2020-09-11-319&partnerID=40&md5=fbab9c2d031292d56bcedc35020a0a7b}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 4; All Open Access, Gold Open Access, Green Open Access} } - Jamie Sikora and John H. Selby. Impossibility of coin flipping in generalized probabilistic theories via discretizations of semi-infinite programs. Physical Review Research, 2(4), 2020. doi:10.1103/PhysRevResearch.2.043128
[BibTeX]@ARTICLE{Sikora2020, author = {Sikora, Jamie and Selby, John H.}, title ="{Impossibility of coin flipping in generalized probabilistic theories via discretizations of semi-infinite programs}", year = {2020}, journal = {Physical Review Research}, volume = {2}, number = {4}, doi = {10.1103/PhysRevResearch.2.043128}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85101953888&doi=10.1103%2fPhysRevResearch.2.043128&partnerID=40&md5=b9accea942745e4d8e7133b8efc2ed65}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 8; All Open Access, Gold Open Access, Green Open Access} } - Omer Sakarya, Marek Winczewski, Adam Rutkowski, and Karol Horodecki. Hybrid quantum network design against unauthorized secret-key generation, and its memory cost. Physical Review Research, 2(4), 2020. doi:10.1103/PhysRevResearch.2.043022
[BibTeX]@ARTICLE{Sakarya2020, author = {Sakarya, Omer and Winczewski, Marek and Rutkowski, Adam and Horodecki, Karol}, title ="{Hybrid quantum network design against unauthorized secret-key generation, and its memory cost}", year = {2020}, journal = {Physical Review Research}, volume = {2}, number = {4}, doi = {10.1103/PhysRevResearch.2.043022}, OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85111185487&doi=10.1103%2fPhysRevResearch.2.043022&partnerID=40&md5=03dad2e8400fb9de2bd2a6574edc291d}, type = {Article}, publication_stage = {Final}, source = {Scopus}, OPTnote = {Cited by: 3; All Open Access, Gold Open Access, Green Open Access} }
arXiv preprints
2022
- Paulo J. Cavalcanti, John H. Selby, Jamie Sikora, and Ana Belén Sainz. Simulating all multipartite non-signalling channels via quasiprobabilistic mixtures of local channels in generalised probabilistic theories. arXiv:2204.10639 [quant-ph], 2022. doi:10.48550/arXiv.2204.10639
[BibTeX] [Download PDF]@article{Cavalcanti_2022_Simulating, author = {Cavalcanti, Paulo J. and Selby, John H. and Sikora, Jamie and Sainz, Ana Belén}, keywords = {Quantum Physics (quant-ph), FOS: Physical sciences, FOS: Physical sciences}, title = {Simulating all multipartite non-signalling channels via quasiprobabilistic mixtures of local channels in generalised probabilistic theories}, doi = {10.48550/arXiv.2204.10639}, url = {https://arxiv.org/abs/2204.10639}, journal={arXiv:2204.10639 [quant-ph]}, year={2022} } - John H. Selby, Elie Wolfe, David Schmid, and Ana Belén Sainz. An open-source linear program for testing nonclassicality. , 2022. doi:10.48550/ARXIV.2204.11905
[BibTeX] [Download PDF]@article{Selby_linear_program_contextuality, doi = {10.48550/ARXIV.2204.11905}, url = {https://arxiv.org/abs/2204.11905}, author = {Selby, John H. and Wolfe, Elie and Schmid, David and Sainz, Ana Belén}, keywords = {Quantum Physics (quant-ph), FOS: Physical sciences, FOS: Physical sciences}, title = {An open-source linear program for testing nonclassicality}, publisher = {arXiv}, year = {2022}, copyright = {arXiv.org perpetual, non-exclusive license} } - John H. Selby, Maria E. Stasinou, Stefano Gogioso, and Bob Coecke. Time symmetry in quantum theories and beyond. , 2022. doi:10.48550/ARXIV.2209.07867
[BibTeX] [Download PDF]@article{Selby_time_symmetry, doi = {10.48550/ARXIV.2209.07867}, url = {https://arxiv.org/abs/2209.07867}, author = {Selby, John H. and Stasinou, Maria E. and Gogioso, Stefano and Coecke, Bob}, keywords = {Quantum Physics (quant-ph), FOS: Physical sciences, FOS: Physical sciences}, title = {Time symmetry in quantum theories and beyond}, publisher = {arXiv}, year = {2022}, copyright = {arXiv.org perpetual, non-exclusive license} } - Tanmoy Biswas, Marcin Łobejko, Paweł Mazurek, Konrad Jałowiecki, and Michał Horodecki. Extraction of ergotropy: free energy bound and application to open cycle engines. , 2022. doi:10.48550/ARXIV.2205.06455
[BibTeX] [Download PDF]@Article{https://doi.org/10.48550/arxiv.2205.06455, doi = {10.48550/ARXIV.2205.06455}, url = {https://arxiv.org/abs/2205.06455}, author = {Biswas, Tanmoy and Łobejko, Marcin and Mazurek, Paweł and Jałowiecki, Konrad and Horodecki, Michał}, keywords = {Quantum Physics (quant-ph), Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, FOS: Physical sciences}, title = {Extraction of ergotropy: free energy bound and application to open cycle engines}, publisher = {arXiv}, year = {2022}, copyright = {Creative Commons Attribution 4.0 International} } - Marcin Łobejko, Marek Winczewski, Gerardo Suárez, Robert Alicki, and Michał Horodecki. Towards reconciliation of completely positive open system dynamics with the equilibration postulate. , 2022. doi:10.48550/ARXIV.2204.00643
[BibTeX] [Download PDF]@article{arXiv_Mean_Force_Hamiltonian, doi = {10.48550/ARXIV.2204.00643}, url = {https://arxiv.org/abs/2204.00643}, author = {Łobejko, Marcin and Winczewski, Marek and Suárez, Gerardo and Alicki, Robert and Horodecki, Michał}, keywords = {Quantum Physics (quant-ph), Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, FOS: Physical sciences}, title = {Towards reconciliation of completely positive open system dynamics with the equilibration postulate}, publisher = {arXiv}, year = {2022}, copyright = {Creative Commons Attribution 4.0 International} } - RR Rodriguez, B. Ahmadi, G. Suarez, P. Mazurek, S. Barzanjeh, and P. Horodecki. Optimal Quantum Control of Charging Quantum Batteries. arXiv preprint arXiv:2207.00094, 2022. acknowledgement for ICTQT IRAP included
[BibTeX]@article{rodriguez2022optimal, title={Optimal Quantum Control of Charging Quantum Batteries}, author={Rodriguez, RR and Ahmadi, B and Suarez, G and Mazurek, P and Barzanjeh, S and Horodecki, P}, journal={arXiv preprint arXiv:2207.00094}, note= {acknowledgement for ICTQT IRAP included}, year={2022} } - Borhan Ahmadi, Pawel Mazurek, Ricard Ravell Rodriguez, Shabir Barzanjeh, Robert Alicki, and Pawel Horodecki. Catalysis in Charging Quantum Batteries. arXiv preprint arXiv:2205.05018, 2022. acknowledgement for ICTQT IRAP included
[BibTeX]@article{ahmadi2022catalysis, title={Catalysis in Charging Quantum Batteries}, author={Ahmadi, Borhan and Mazurek, Pawel and Rodriguez, Ricard Ravell and Barzanjeh, Shabir and Alicki, Robert and Horodecki, Pawel}, journal={arXiv preprint arXiv:2205.05018}, note= {acknowledgement for ICTQT IRAP included}, year={2022} } - Daniel Ebler, Michał Horodecki, Marcin Marciniak, Tomasz Młynik, Marco Túlio Quintino, and Michał Studziński. Optimal universal quantum circuits for unitary complex conjugation. , 2022. doi:10.48550/ARXIV.2206.00107
[BibTeX] [Download PDF]@article{arxiv-Ebler-Studzinski, doi = {10.48550/ARXIV.2206.00107}, url = {https://arxiv.org/abs/2206.00107}, author = {Ebler, Daniel and Horodecki, Michał and Marciniak, Marcin and Młynik, Tomasz and Quintino, Marco Túlio and Studziński, Michał}, keywords = {Quantum Physics (quant-ph), FOS: Physical sciences, FOS: Physical sciences}, title = {Optimal universal quantum circuits for unitary complex conjugation}, publisher = {arXiv}, year = {2022}, copyright = {Creative Commons Attribution 4.0 International} } - Michał Oszmaniec, Michał Horodecki, and Nicholas Hunter-Jones. Saturation and recurrence of quantum complexity in random quantum circuits. , 2022. doi:10.48550/ARXIV.2205.09734
[BibTeX] [Download PDF]@article{arxiv-Oszmaniec-Hunter, doi = {10.48550/ARXIV.2205.09734}, url = {https://arxiv.org/abs/2205.09734}, author = {Oszmaniec, Michał and Horodecki, Michał and Hunter-Jones, Nicholas}, keywords = {Quantum Physics (quant-ph), Strongly Correlated Electrons (cond-mat.str-el), High Energy Physics - Theory (hep-th), Mathematical Physics (math-ph), FOS: Physical sciences, FOS: Physical sciences}, title = {Saturation and recurrence of quantum complexity in random quantum circuits}, publisher = {arXiv}, year = {2022}, copyright = {Creative Commons Attribution 4.0 International} } - Marcin Łobejko, Paweł Mazurek, and Michał Horodecki. The asymptotic emergence of the Second Law for a repeated charging process. 2022. doi:10.48550/ARXIV.2209.05339
[BibTeX] [Download PDF]@misc{https://doi.org/10.48550/arxiv.2209.05339, doi = {10.48550/ARXIV.2209.05339}, url = {https://arxiv.org/abs/2209.05339}, author = {Łobejko, Marcin and Mazurek, Paweł and Horodecki, Michał}, keywords = {Quantum Physics (quant-ph), FOS: Physical sciences, FOS: Physical sciences}, title = {The asymptotic emergence of the Second Law for a repeated charging process}, publisher = {arXiv}, year = {2022}, copyright = {Creative Commons Attribution 4.0 International} }
2021
- John H. Selby, David Schmid, Elie Wolfe, Ana Belén Sainz, Ravi Kunjwal, and Robert W. Spekkens. Contextuality without incompatibility. , 2021. doi:10.48550/ARXIV.2106.09045
[BibTeX] [Download PDF]@article{Contextuality_without_incompatibility, doi = {10.48550/ARXIV.2106.09045}, url = {https://arxiv.org/abs/2106.09045}, author = {Selby, John H. and Schmid, David and Wolfe, Elie and Sainz, Ana Belén and Kunjwal, Ravi and Spekkens, Robert W.}, keywords = {Quantum Physics (quant-ph), FOS: Physical sciences, FOS: Physical sciences}, title = {Contextuality without incompatibility}, publisher = {arXiv}, year = {2021}, copyright = {arXiv.org perpetual, non-exclusive license} } - John H. Selby, David Schmid, Elie Wolfe, Ana Belén Sainz, Ravi Kunjwal, and Robert W. Spekkens. Accessible fragments of generalized probabilistic theories, cone equivalence, and applications to witnessing nonclassicality. arXiv:2112.04521 [quant-ph], dec 2021. arXiv: 2112.04521
[BibTeX] [Abstract] [Download PDF]
The formalism of generalized probabilistic theories (GPTs) was originally developed as a way to characterize the landscape of conceivable physical theories. Thus, the GPT describing a given physical theory necessarily includes all physically possible processes. We here consider the question of how to provide a GPT-like characterization of a particular experimental setup within a given physical theory. We show that the resulting characterization is not generally a GPT in and of itself-rather, it is described by a more general mathematical object that we introduce and term an accessible GPT fragment. We then introduce an equivalence relation, termed cone equivalence, between accessible GPT fragments (and, as a special case, between standard GPTs). We give a number of examples of experimental scenarios that are best described using accessible GPT fragments, and where moreover cone-equivalence arises naturally. We then prove that an accessible GPT fragment admits of a classical explanation if and only if every other fragment that is cone-equivalent to it also admits of a classical explanation. Finally, we leverage this result to prove several fundamental results regarding the experimental requirements for witnessing the failure of generalized noncontextuality. In particular, we prove that neither incompatibility among measurements nor the assumption of freedom of choice is necessary for witnessing failures of generalized noncontextuality, and, moreover, that such failures can be witnessed even using arbitrarily inefficient detectors.
@article{selby_accessible_2021, title = {Accessible fragments of generalized probabilistic theories, cone equivalence, and applications to witnessing nonclassicality}, url = {https://arxiv.org/abs/2112.04521}, abstract = {The formalism of generalized probabilistic theories (GPTs) was originally developed as a way to characterize the landscape of conceivable physical theories. Thus, the GPT describing a given physical theory necessarily includes all physically possible processes. We here consider the question of how to provide a GPT-like characterization of a particular experimental setup within a given physical theory. We show that the resulting characterization is not generally a GPT in and of itself-rather, it is described by a more general mathematical object that we introduce and term an accessible GPT fragment. We then introduce an equivalence relation, termed cone equivalence, between accessible GPT fragments (and, as a special case, between standard GPTs). We give a number of examples of experimental scenarios that are best described using accessible GPT fragments, and where moreover cone-equivalence arises naturally. We then prove that an accessible GPT fragment admits of a classical explanation if and only if every other fragment that is cone-equivalent to it also admits of a classical explanation. Finally, we leverage this result to prove several fundamental results regarding the experimental requirements for witnessing the failure of generalized noncontextuality. In particular, we prove that neither incompatibility among measurements nor the assumption of freedom of choice is necessary for witnessing failures of generalized noncontextuality, and, moreover, that such failures can be witnessed even using arbitrarily inefficient detectors.}, urldate = {2021-12-10}, journal = {arXiv:2112.04521 [quant-ph]}, author = {Selby, John H. and Schmid, David and Wolfe, Elie and Sainz, Ana Belén and Kunjwal, Ravi and Spekkens, Robert W.}, month = dec, year = {2021}, note = {arXiv: 2112.04521}, keywords = {Quantum Physics}, } - David Schmid, John H. Selby, and Robert W. Spekkens. Unscrambling the omelette of causation and inference: The framework of causal-inferential theories. arXiv:2009.03297 [quant-ph], may 2021. arXiv: 2009.03297
[BibTeX] [Abstract] [Download PDF]
Using a process-theoretic formalism, we introduce the notion of a causal-inferential theory: a triple consisting of a theory of causal influences, a theory of inferences (of both the Boolean and Bayesian varieties), and a specification of how these interact. Recasting the notions of operational and realist theories in this mold clarifies what a realist account of an experiment offers beyond an operational account. It also yields a novel characterization of the assumptions and implications of standard no-go theorems for realist representations of operational quantum theory, namely, those based on Bell’s notion of locality and those based on generalized noncontextuality. Moreover, our process-theoretic characterization of generalised noncontextuality is shown to be implied by an even more natural principle which we term Leibnizianity. Most strikingly, our framework offers a way forward in a research program that seeks to circumvent these no-go results. Specifically, we argue that if one can identify axioms for a realist causal-inferential theory such that the notions of causation and inference can differ from their conventional (classical) interpretations, then one has the means of defining an intrinsically quantum notion of realism, and thereby a realist representation of operational quantum theory that salvages the spirit of locality and of noncontextuality.
@article{schmid_unscrambling_2021, title = {Unscrambling the omelette of causation and inference: {The} framework of causal-inferential theories}, shorttitle = {Unscrambling the omelette of causation and inference}, url = {http://arxiv.org/abs/2009.03297}, abstract = {Using a process-theoretic formalism, we introduce the notion of a causal-inferential theory: a triple consisting of a theory of causal influences, a theory of inferences (of both the Boolean and Bayesian varieties), and a specification of how these interact. Recasting the notions of operational and realist theories in this mold clarifies what a realist account of an experiment offers beyond an operational account. It also yields a novel characterization of the assumptions and implications of standard no-go theorems for realist representations of operational quantum theory, namely, those based on Bell's notion of locality and those based on generalized noncontextuality. Moreover, our process-theoretic characterization of generalised noncontextuality is shown to be implied by an even more natural principle which we term Leibnizianity. Most strikingly, our framework offers a way forward in a research program that seeks to circumvent these no-go results. Specifically, we argue that if one can identify axioms for a realist causal-inferential theory such that the notions of causation and inference can differ from their conventional (classical) interpretations, then one has the means of defining an intrinsically quantum notion of realism, and thereby a realist representation of operational quantum theory that salvages the spirit of locality and of noncontextuality.}, urldate = {2021-07-28}, journal = {arXiv:2009.03297 [quant-ph]}, author = {Schmid, David and Selby, John H. and Spekkens, Robert W.}, month = may, year = {2021}, note = {arXiv: 2009.03297}, keywords = {Quantum Physics}, } - John H. Selby, Ana Belén Sainz, and Paweł Horodecki. Revisiting dynamics of quantum causal structures — when can causal order evolve?. arXiv:2008.12757 [quant-ph], mar 2021. arXiv: 2008.12757
[BibTeX] [Abstract] [Download PDF]
Recently, there has been substantial interest in studying the dynamics of quantum theory beyond that of states, in particular, the dynamics of channels, measurements, and higher-order transformations. Ref. [Phys. Rev. X 8(1), 011047 (2018)] pursues this using the process matrix formalism, together with a definition of the possible dynamics of such process matrices, and focusing especially on the question of evolution of causal structures. One of its major conclusions is a strong theorem saying that, within the formalism, under continuous and reversible transformations, the causal order between operations must be preserved. Here we find a surprising result: if one is to take into account a full picture of the physical evolution of operations within the standard quantum-mechanical formalism, then one can actually draw the opposite conclusion. That is, we show that under certain continuous and reversible dynamics the causal order between operations is not necessarily preserved. We moreover identify and analyse the root of this apparent contradiction, specifically, that the commonly accepted and widely applied framework of higher-order processes, whilst mathematically sound, is not always appropriate for drawing conclusions on the fundamentals of physical dynamics. Finally we show how to reconcile the elements of the whole picture following the intuition based on entanglement processing by local operations and classical communication.
@Article{selby_revisiting_2021, author = {Selby, John H. and Sainz, Ana Belén and Horodecki, Paweł}, journal = {arXiv:2008.12757 [quant-ph]}, title = {Revisiting dynamics of quantum causal structures -- when can causal order evolve?}, year = {2021}, month = mar, note = {arXiv: 2008.12757}, abstract = {Recently, there has been substantial interest in studying the dynamics of quantum theory beyond that of states, in particular, the dynamics of channels, measurements, and higher-order transformations. Ref. [Phys. Rev. X 8(1), 011047 (2018)] pursues this using the process matrix formalism, together with a definition of the possible dynamics of such process matrices, and focusing especially on the question of evolution of causal structures. One of its major conclusions is a strong theorem saying that, within the formalism, under continuous and reversible transformations, the causal order between operations must be preserved. Here we find a surprising result: if one is to take into account a full picture of the physical evolution of operations within the standard quantum-mechanical formalism, then one can actually draw the opposite conclusion. That is, we show that under certain continuous and reversible dynamics the causal order between operations is not necessarily preserved. We moreover identify and analyse the root of this apparent contradiction, specifically, that the commonly accepted and widely applied framework of higher-order processes, whilst mathematically sound, is not always appropriate for drawing conclusions on the fundamentals of physical dynamics. Finally we show how to reconcile the elements of the whole picture following the intuition based on entanglement processing by local operations and classical communication.}, groups = {Pawel_H}, keywords = {Quantum Physics}, url = {http://arxiv.org/abs/2008.12757}, urldate = {2021-07-28}, } - Tanmoy Biswas, Oliveira A. de Junior, Michał Horodecki, and Kamil Korzekwa. Fluctuation-dissipation relations for thermodynamic distillation processes. arXiv:2105.11759 [quant-ph], 5 2021.
[BibTeX] [Abstract] [Download PDF]
The fluctuation-dissipation theorem is a fundamental result in statistical physics that establishes a connection between the response of a system subject to a perturbation and the fluctuations associated with observables in equilibrium. Here we derive its version within a resource-theoretic framework, where one investigates optimal quantum state transitions under thermodynamic constraints. More precisely, we first characterise optimal thermodynamic distillation processes, and then prove a relation between the amount of free energy dissipated in such processes and the free energy fluctuations of the initial state of the system. Our results apply to initial states given by either asymptotically many identical pure systems or arbitrary number of independent energy-incoherent systems, and allow not only for a state transformation, but also for the change of Hamiltonian. The fluctuation-dissipation relations we derive enable us to find the optimal performance of thermodynamic protocols such as work extraction, information erasure and thermodynamically-free communication, up to second-order asymptotics in the number $N$ of processed systems. We thus provide a first rigorous analysis of these thermodynamic protocols for quantum states with coherence between different energy eigenstates in the intermediate regime of large but finite $N$.
@Article{Biswas2021a, author = {Biswas, Tanmoy and Junior, A. de Oliveira and Horodecki, Michał and Korzekwa, Kamil}, journal = {arXiv:2105.11759 [quant-ph]}, title = {Fluctuation-dissipation relations for thermodynamic distillation processes}, year = {2021}, month = {5}, abstract = {The fluctuation-dissipation theorem is a fundamental result in statistical physics that establishes a connection between the response of a system subject to a perturbation and the fluctuations associated with observables in equilibrium. Here we derive its version within a resource-theoretic framework, where one investigates optimal quantum state transitions under thermodynamic constraints. More precisely, we first characterise optimal thermodynamic distillation processes, and then prove a relation between the amount of free energy dissipated in such processes and the free energy fluctuations of the initial state of the system. Our results apply to initial states given by either asymptotically many identical pure systems or arbitrary number of independent energy-incoherent systems, and allow not only for a state transformation, but also for the change of Hamiltonian. The fluctuation-dissipation relations we derive enable us to find the optimal performance of thermodynamic protocols such as work extraction, information erasure and thermodynamically-free communication, up to second-order asymptotics in the number $N$ of processed systems. We thus provide a first rigorous analysis of these thermodynamic protocols for quantum states with coherence between different energy eigenstates in the intermediate regime of large but finite $N$.}, archiveprefix = {arXiv}, eprint = {2105.11759}, groups = {Michal_H}, keywords = {Quantum Physics, Condensed Matter - Statistical Mechanics}, primaryclass = {quant-ph}, url = {https://arxiv.org/pdf/2105.11759}, } - Karol Horodecki, Marek Winczewski, and Siddhartha Das. Fundamental limitations on device-independent quantum conference key agreement. arXiv e-prints, pages arXiv:2111.02467, nov 2021.
[BibTeX] [Abstract] [Download PDF]
We provide several general upper bounds on device-independent conference key agreement (DI-CKA) against the quantum adversary. They include bounds by reduced entanglement measures and those based on multipartite secrecy monotones such as reduced cc-squashed entanglement. We compare the latter bound with the known lower bound for the protocol of conference key distillation based on the parity-CHSH game. We also show that the gap between DI-CKA rate and the rate of device-dependent is inherited from the bipartite gap between device-independent and device-dependent key rates, giving examples that exhibit the strict gap.
@Article{arXiv_Horodecki2021, author = {Horodecki, Karol and Winczewski, Marek and Das, Siddhartha}, journal = {arXiv e-prints}, title = {Fundamental limitations on device-independent quantum conference key agreement}, year = {2021}, month = nov, pages = {arXiv:2111.02467}, abstract = {We provide several general upper bounds on device-independent conference key agreement (DI-CKA) against the quantum adversary. They include bounds by reduced entanglement measures and those based on multipartite secrecy monotones such as reduced cc-squashed entanglement. We compare the latter bound with the known lower bound for the protocol of conference key distillation based on the parity-CHSH game. We also show that the gap between DI-CKA rate and the rate of device-dependent is inherited from the bipartite gap between device-independent and device-dependent key rates, giving examples that exhibit the strict gap.}, archiveprefix = {arXiv}, eid = {arXiv:2111.02467}, eprint = {2111.02467}, keywords = {Quantum Physics, Computer Science - Information Theory, Mathematical Physics}, primaryclass = {quant-ph}, url = {https://arxiv.org/pdf/2111.02467}, } - Marek Winczewski, Antonio Mandarino, Michał Horodecki, and Robert Alicki. Bypassing the Intermediate Times Dilemma for Open Quantum System. , 2021. doi:10.48550/ARXIV.2106.05776
[BibTeX] [Download PDF]@article{arXiv_Bypasing_Dillema, doi = {10.48550/ARXIV.2106.05776}, url = {https://arxiv.org/abs/2106.05776}, author = {Winczewski, Marek and Mandarino, Antonio and Horodecki, Michał and Alicki, Robert}, keywords = {Quantum Physics (quant-ph), FOS: Physical sciences, FOS: Physical sciences}, title = {Bypassing the Intermediate Times Dilemma for Open Quantum System}, publisher = {arXiv}, year = {2021}, copyright = {Creative Commons Attribution 4.0 International} } - Marek Winczewski and Robert Alicki. Renormalization in the Theory of Open Quantum Systems via the Self-Consistency Condition. , 2021. doi:10.48550/ARXIV.2112.11962
[BibTeX] [Download PDF]@article{arXiv_Renormalization_OQS, doi = {10.48550/ARXIV.2112.11962}, url = {https://arxiv.org/abs/2112.11962}, author = {Winczewski, Marek and Alicki, Robert}, keywords = {Quantum Physics (quant-ph), FOS: Physical sciences, FOS: Physical sciences}, title = {Renormalization in the Theory of Open Quantum Systems via the Self-Consistency Condition}, publisher = {arXiv}, year = {2021}, copyright = {arXiv.org perpetual, non-exclusive license} }
2020
- David Schmid, John H. Selby, Matthew F. Pusey, and Robert W. Spekkens. A structure theorem for generalized-noncontextual ontological models. arXiv:2005.07161 [quant-ph], may 2020. arXiv: 2005.07161
[BibTeX] [Abstract] [Download PDF]
It is useful to have a criterion for when the predictions of an operational theory should be considered classically explainable. Here we take the criterion to be that the theory admits of a generalized-noncontextual ontological model. Existing works on generalized noncontextuality have focused on experimental scenarios having a simple structure, typically, prepare-measure scenarios. Here, we formally extend the framework of ontological models as well as the principle of generalized noncontextuality to arbitrary compositional scenarios. We leverage this process-theoretic framework to prove that, under some reasonable assumptions, every generalized-noncontextual ontological model of a tomographically local operational theory has a surprisingly rigid and simple mathematical structure; in short, it corresponds to a frame representation which is not overcomplete. One consequence of this theorem is that the largest number of ontic states possible in any such model is given by the dimension of the associated generalized probabilistic theory. This constraint is useful for generating noncontextuality no-go theorems as well as techniques for experimentally certifying contextuality. Along the way, we extend known results concerning the equivalence of different notions of classicality from prepare-measure scenarios to arbitrary compositional scenarios. Specifically, we prove a correspondence between the following three notions of classical explainability of an operational theory: (i) admitting a noncontextual ontological model, (ii) admitting of a positive quasiprobability representation, and (iii) being simplex-embeddable.
@article{schmid_structure_2020, title = {A structure theorem for generalized-noncontextual ontological models}, url = {http://arxiv.org/abs/2005.07161}, abstract = {It is useful to have a criterion for when the predictions of an operational theory should be considered classically explainable. Here we take the criterion to be that the theory admits of a generalized-noncontextual ontological model. Existing works on generalized noncontextuality have focused on experimental scenarios having a simple structure, typically, prepare-measure scenarios. Here, we formally extend the framework of ontological models as well as the principle of generalized noncontextuality to arbitrary compositional scenarios. We leverage this process-theoretic framework to prove that, under some reasonable assumptions, every generalized-noncontextual ontological model of a tomographically local operational theory has a surprisingly rigid and simple mathematical structure; in short, it corresponds to a frame representation which is not overcomplete. One consequence of this theorem is that the largest number of ontic states possible in any such model is given by the dimension of the associated generalized probabilistic theory. This constraint is useful for generating noncontextuality no-go theorems as well as techniques for experimentally certifying contextuality. Along the way, we extend known results concerning the equivalence of different notions of classicality from prepare-measure scenarios to arbitrary compositional scenarios. Specifically, we prove a correspondence between the following three notions of classical explainability of an operational theory: (i) admitting a noncontextual ontological model, (ii) admitting of a positive quasiprobability representation, and (iii) being simplex-embeddable.}, urldate = {2020-09-04}, journal = {arXiv:2005.07161 [quant-ph]}, author = {Schmid, David and Selby, John H. and Pusey, Matthew F. and Spekkens, Robert W.}, month = may, year = {2020}, note = {arXiv: 2005.07161}, keywords = {Quantum Physics}, } - Ravishankar Ramanathan, Michał Horodecki, Hammad Anwer, Stefano Pironio, Karol Horodecki, Marcus Grünfeld, Sadiq Muhammad, Mohamed Bourennane, and Paweł Horodecki. Practical No-Signalling proof Randomness Amplification using Hardy paradoxes and its experimental implementation. arXiv:1810.11648 [quant-ph], sep 2020. arXiv: 1810.11648
[BibTeX] [Abstract] [Download PDF]
Device-Independent (DI) security is the best form of quantum cryptography, providing information-theoretic security based on the very laws of nature. In its highest form, security is guaranteed against adversaries limited only by the no-superluminal signalling rule of relativity. The task of randomness amplification, to generate secure fully uniform bits starting from weakly random seeds, is of both cryptographic and foundational interest, being important for the generation of cryptographically secure random numbers as well as bringing deep connections to the existence of free-will. DI no-signalling proof protocols for this fundamental task have thus far relied on esoteric proofs of non-locality termed pseudo-telepathy games, complicated multi-party setups or high-dimensional quantum systems, and have remained out of reach of experimental implementation. In this paper, we construct the first practically relevant no-signalling proof DI protocols for randomness amplification based on the simplest proofs of Bell non-locality and illustrate them with an experimental implementation in a quantum optical setup using polarised photons. Technically, we relate the problem to the vast field of Hardy paradoxes, without which it would be impossible to achieve amplification of arbitrarily weak sources in the simplest Bell non-locality scenario consisting of two parties choosing between two binary inputs. Furthermore, we identify a deep connection between proofs of the celebrated Kochen-Specker theorem and Hardy paradoxes that enables us to construct Hardy paradoxes with the non-zero probability taking any value in \$(0,1]\$. Our methods enable us, under the fair-sampling assumption of the experiment, to realize up to \$25\$ bits of randomness in \$20\$ hours of experimental data collection from an initial private source of randomness \$0.1\$ away from uniform.
@Article{ramanathan_practical_2020, author = {Ramanathan, Ravishankar and Horodecki, Michał and Anwer, Hammad and Pironio, Stefano and Horodecki, Karol and Grünfeld, Marcus and Muhammad, Sadiq and Bourennane, Mohamed and Horodecki, Paweł}, journal = {arXiv:1810.11648 [quant-ph]}, title = {Practical {No}-{Signalling} proof {Randomness} {Amplification} using {Hardy} paradoxes and its experimental implementation}, year = {2020}, month = sep, note = {arXiv: 1810.11648}, abstract = {Device-Independent (DI) security is the best form of quantum cryptography, providing information-theoretic security based on the very laws of nature. In its highest form, security is guaranteed against adversaries limited only by the no-superluminal signalling rule of relativity. The task of randomness amplification, to generate secure fully uniform bits starting from weakly random seeds, is of both cryptographic and foundational interest, being important for the generation of cryptographically secure random numbers as well as bringing deep connections to the existence of free-will. DI no-signalling proof protocols for this fundamental task have thus far relied on esoteric proofs of non-locality termed pseudo-telepathy games, complicated multi-party setups or high-dimensional quantum systems, and have remained out of reach of experimental implementation. In this paper, we construct the first practically relevant no-signalling proof DI protocols for randomness amplification based on the simplest proofs of Bell non-locality and illustrate them with an experimental implementation in a quantum optical setup using polarised photons. Technically, we relate the problem to the vast field of Hardy paradoxes, without which it would be impossible to achieve amplification of arbitrarily weak sources in the simplest Bell non-locality scenario consisting of two parties choosing between two binary inputs. Furthermore, we identify a deep connection between proofs of the celebrated Kochen-Specker theorem and Hardy paradoxes that enables us to construct Hardy paradoxes with the non-zero probability taking any value in \$(0,1]\$. Our methods enable us, under the fair-sampling assumption of the experiment, to realize up to \$25\$ bits of randomness in \$20\$ hours of experimental data collection from an initial private source of randomness \$0.1\$ away from uniform.}, groups = {Michal_H, Pawel_H}, keywords = {Quantum Physics}, url = {http://arxiv.org/abs/1810.11648}, urldate = {2021-05-11}, } - Łukasz Czekaj, Ana Belén Sainz, John Selby, and Michał Horodecki. Correlations constrained by composite measurements. arXiv:2009.04994 [quant-ph], sep 2020. arXiv: 2009.04994
[BibTeX] [Abstract] [Download PDF]
How to understand the set of correlations admissible in nature is one outstanding open problem in the core of the foundations of quantum theory. Here we take a complementary viewpoint to the device-independent approach, and explore the correlations that physical theories may feature when restricted by some particular constraints on their measurements. We show that demanding that a theory exhibits a composite measurement imposes a hierarchy of constraints on the structure of its sets of states and effects, which translate to a hierarchy of constraints on the allowed correlations themselves. We moreover focus on the particular case where one demands the existence of an entangled measurement that reads out the parity of local fiducial measurements. By formulating a non-linear Optimisation Problem, and semidefinite relaxations of it, we explore the consequences of the existence of such a parity reading measurement for violations of Bell inequalities. In particular, we show that in certain situations this assumption has surprisingly strong consequences, namely, that Tsirelson’s bound can be recovered.
@Article{czekaj_correlations_2020, author = {Czekaj, Łukasz and Sainz, Ana Belén and Selby, John and Horodecki, Michał}, journal = {arXiv:2009.04994 [quant-ph]}, title = {Correlations constrained by composite measurements}, year = {2020}, month = sep, note = {arXiv: 2009.04994}, abstract = {How to understand the set of correlations admissible in nature is one outstanding open problem in the core of the foundations of quantum theory. Here we take a complementary viewpoint to the device-independent approach, and explore the correlations that physical theories may feature when restricted by some particular constraints on their measurements. We show that demanding that a theory exhibits a composite measurement imposes a hierarchy of constraints on the structure of its sets of states and effects, which translate to a hierarchy of constraints on the allowed correlations themselves. We moreover focus on the particular case where one demands the existence of an entangled measurement that reads out the parity of local fiducial measurements. By formulating a non-linear Optimisation Problem, and semidefinite relaxations of it, we explore the consequences of the existence of such a parity reading measurement for violations of Bell inequalities. In particular, we show that in certain situations this assumption has surprisingly strong consequences, namely, that Tsirelson's bound can be recovered.}, groups = {Michal_H}, keywords = {Quantum Physics}, url = {http://arxiv.org/abs/2009.04994}, urldate = {2021-07-28}, } - Siddhartha Das, Stefan Bäuml, Marek Winczewski, and Karol Horodecki. Universal limitations on quantum key distribution over a network. arXiv:1912.03646 [quant-ph], sep 2020. arXiv: 1912.03646
[BibTeX] [Abstract] [Download PDF]
The possibility to achieve secure communication among trusted parties by means of the quantum entanglement is intriguing both from a fundamental and an application purpose. In this work, we show that any state (after distillation) from which a quantum secret key can be obtained by local measurements has to be genuinely multipartite entangled. We introduce the most general form of memoryless network quantum channel: quantum multiplex channels. We define and determine asymptotic and non-asymptotic LOCC assisted conference key agreement capacities for quantum multiplex channels and provide various strong and weak converse bounds in terms of the divergence based entanglement measures of the quantum multiplex channels. The structure of our protocol manifested by an adaptive strategy of secret key and entanglement (GHZ state) distillation over an arbitrary multiplex quantum channel is generic. In particular, it provides a universal framework to study the performance of quantum key repeaters and – for the first time – of the MDI-QKD setups of channels. For teleportation-covariant multiplex quantum channels, which are channels with certain symmetries, we get upper bounds on the secret key agreement capacities in terms of the entanglement measures of their Choi states. For some network prototypes of practical relevance, we evaluate upper bounds on the conference key agreement capacities and MDI-QKD capacities. Upper bounds on the LOCC-assisted conference key agreement rates are also upper bounds on the distillation rates of GHZ states, a class of genuinely entangled pure states. We also obtain bounds on the rates at which conference key and GHZ states can be distilled from a finite number of copies of an arbitrary multipartite quantum state. Using our bounds, in particular cases, we are able to determine the capacities for quantum key distribution channels and rates of GHZ-state distillation.
@article{arXiv_das_universal_2020, title = {Universal limitations on quantum key distribution over a network}, url = {http://arxiv.org/abs/1912.03646}, abstract = {The possibility to achieve secure communication among trusted parties by means of the quantum entanglement is intriguing both from a fundamental and an application purpose. In this work, we show that any state (after distillation) from which a quantum secret key can be obtained by local measurements has to be genuinely multipartite entangled. We introduce the most general form of memoryless network quantum channel: quantum multiplex channels. We define and determine asymptotic and non-asymptotic LOCC assisted conference key agreement capacities for quantum multiplex channels and provide various strong and weak converse bounds in terms of the divergence based entanglement measures of the quantum multiplex channels. The structure of our protocol manifested by an adaptive strategy of secret key and entanglement (GHZ state) distillation over an arbitrary multiplex quantum channel is generic. In particular, it provides a universal framework to study the performance of quantum key repeaters and - for the first time - of the MDI-QKD setups of channels. For teleportation-covariant multiplex quantum channels, which are channels with certain symmetries, we get upper bounds on the secret key agreement capacities in terms of the entanglement measures of their Choi states. For some network prototypes of practical relevance, we evaluate upper bounds on the conference key agreement capacities and MDI-QKD capacities. Upper bounds on the LOCC-assisted conference key agreement rates are also upper bounds on the distillation rates of GHZ states, a class of genuinely entangled pure states. We also obtain bounds on the rates at which conference key and GHZ states can be distilled from a finite number of copies of an arbitrary multipartite quantum state. Using our bounds, in particular cases, we are able to determine the capacities for quantum key distribution channels and rates of GHZ-state distillation.}, urldate = {2021-07-28}, journal = {arXiv:1912.03646 [quant-ph]}, author = {Das, Siddhartha and Bäuml, Stefan and Winczewski, Marek and Horodecki, Karol}, month = sep, year = {2020}, note = {arXiv: 1912.03646}, keywords = {Quantum Physics, Computer Science - Information Theory}, } - Omer Sakarya, Marek Winczewski, Adam Rutkowski, and Karol Horodecki. $^*$Hybrid quantum network design against unauthorized secret-key generation, and its memory cost. Physical Review Research, 2(4), oct 2020. doi:10.1103/physrevresearch.2.043022
[BibTeX] [Download PDF]@article{arXiv_Sakarya_2020, doi = {10.1103/physrevresearch.2.043022}, url = {https://doi.org/10.1103%2Fphysrevresearch.2.043022}, year = 2020, month = oct, publisher = {American Physical Society ({APS})}, volume = {2}, number = {4}, author = {Omer Sakarya and Marek Winczewski and Adam Rutkowski and Karol Horodecki}, title = {$^*$Hybrid quantum network design against unauthorized secret-key generation, and its memory cost}, journal = {Physical Review Research} } - Edgar A. Aguilar, Hanna Wojewódka-Ściążko, Maciej Stankiewicz, Christopher Perry, Piotr Ćwikliński, Andrzej Grudka, Karol Horodecki, and Michał Horodecki. Thermal Operations in general are not memoryless. , 2020. doi:10.48550/ARXIV.2009.03110
[BibTeX] [Download PDF]@article{https://doi.org/10.48550/arxiv.2009.03110, doi = {10.48550/ARXIV.2009.03110}, url = {https://arxiv.org/abs/2009.03110}, author = {Aguilar, Edgar A. and Wojewódka-Ściążko, Hanna and Stankiewicz, Maciej and Perry, Christopher and Ćwikliński, Piotr and Grudka, Andrzej and Horodecki, Karol and Horodecki, Michał}, keywords = {Quantum Physics (quant-ph), FOS: Physical sciences, FOS: Physical sciences}, title = {Thermal Operations in general are not memoryless}, publisher = {arXiv}, year = {2020}, copyright = {arXiv.org perpetual, non-exclusive license} }
2019
- Marek Winczewski, Tamoghna Das, and Karol Horodecki. Limitations on device independent key secure against non signaling adversary via the squashed non-locality. , 2019. doi:10.48550/ARXIV.1903.12154
[BibTeX] [Download PDF]@article{arXiv_NSDI_MW_TD_KH, doi = {10.48550/ARXIV.1903.12154}, url = {https://arxiv.org/abs/1903.12154}, author = {Winczewski, Marek and Das, Tamoghna and Horodecki, Karol}, keywords = {Quantum Physics (quant-ph), FOS: Physical sciences, FOS: Physical sciences}, title = {Limitations on device independent key secure against non signaling adversary via the squashed non-locality}, publisher = {arXiv}, year = {2019}, copyright = {arXiv.org perpetual, non-exclusive license} }
2018
- Marek Winczewski, Tamoghna Das, John H. Selby, Karol Horodecki, Paweł Horodecki, Łukasz Pankowski, Marco Piani, and Ravishankar Ramanathan. Complete extension: the non-signaling analog of quantum purification. , 2018. doi:10.48550/ARXIV.1810.02222
[BibTeX] [Download PDF]@article{arXiv_complete_extension, doi = {10.48550/ARXIV.1810.02222}, url = {https://arxiv.org/abs/1810.02222}, author = {Winczewski, Marek and Das, Tamoghna and Selby, John H. and Horodecki, Karol and Horodecki, Paweł and Pankowski, Łukasz and Piani, Marco and Ramanathan, Ravishankar}, keywords = {Quantum Physics (quant-ph), FOS: Physical sciences, FOS: Physical sciences}, title = {Complete extension: the non-signaling analog of quantum purification}, publisher = {arXiv}, year = {2018}, copyright = {arXiv.org perpetual, non-exclusive license} }
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