Quantum Open Systems in Relation to Quantum Optics

2024

1. Stefano Cusumano and Gabriele De Chiara. Structured quantum collision models: generating coherence with thermal resources. New Journal of Physics, 26(2), 2024. doi:10.1088/1367-2630/ad202a
   [BibTeX]

   @ARTICLE{Cusumano2024,
     author = {Cusumano, Stefano and De Chiara, Gabriele},
     title = {Structured quantum collision models: generating coherence with thermal resources},
     year = {2024},
     journal = {New Journal of Physics},
     volume = {26},
     number = {2},
     doi = {10.1088/1367-2630/ad202a},
     OPTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85184001915&doi=10.1088%2f1367-2630%2fad202a&partnerID=40&md5=ca5ab41d8467fea94c51ac25a8c854e1},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 5; All Open Access, Gold Open Access, Green Open Access}
   }

2. Tomasz Linowski and Łukasz Rudnicki. Relating the Glauber-Sudarshan, Wigner, and Husimi quasiprobability distributions operationally through the quantum-limited amplifier and attenuator channels. Physical Review A, 109(2), 2024. doi:10.1103/PhysRevA.109.023715
   [BibTeX]

   @ARTICLE{Linowski2024,
     author = {Linowski, Tomasz and Rudnicki, Łukasz},
     title = {Relating the {Glauber}-{Sudarshan}, {Wigner}, and {Husimi} quasiprobability distributions operationally through the quantum-limited amplifier and attenuator channels},
     year = {2024},
     journal = {Physical Review A},
     volume = {109},
     number = {2},
     doi = {10.1103/PhysRevA.109.023715},
     OPTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85186118647&doi=10.1103%2fPhysRevA.109.023715&partnerID=40&md5=42a647752c9aed3947f903b1eeb0b53f},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 1; All Open Access, Green Open Access}
   }

3. Martti Hanhisalo, Mohammad Sajjad Mirmoosa, Tero Setälä, Łukasz Rudnicki, and Andreas Norrman. Quantum uncertainty of optical coherence. Physical Review A, 110(6), 2024. doi:10.1103/PhysRevA.110.063702
   [BibTeX]

   @ARTICLE{Hanhisalo2024,
     author = {Hanhisalo, Martti and Mirmoosa, Mohammad Sajjad and Setälä, Tero and Rudnicki, Łukasz and Norrman, Andreas},
     title = {Quantum uncertainty of optical coherence},
     year = {2024},
     journal = {Physical Review A},
     volume = {110},
     number = {6},
     doi = {10.1103/PhysRevA.110.063702},
     OPTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85213717083&doi=10.1103%2fPhysRevA.110.063702&partnerID=40&md5=da719f428239ab39bdfdef97f0feb073},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 0; All Open Access, Green Open Access}
   }

4. Davide Lonigro, Fattah Sakuldee, Łukasz Cywiński, Dariusz Chruściński, and Piotr Szańkowski. Double or nothing: a Kolmogorov extension theorem for multitime (bi)probabilities in quantum mechanics. Quantum, 8, 2024. doi:10.22331/q-2024-08-27-1447
   [BibTeX]

   @ARTICLE{Lonigro2024,
     author = {Lonigro, Davide and Sakuldee, Fattah and Cywiński, Łukasz and Chruściński, Dariusz and Szańkowski, Piotr},
     title = {Double or nothing: a {Kolmogorov} extension theorem for multitime (bi)probabilities in quantum mechanics},
     year = {2024},
     journal = {Quantum},
     volume = {8},
     doi = {10.22331/q-2024-08-27-1447},
     OPTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85203159743&doi=10.22331%2fq-2024-08-27-1447&partnerID=40&md5=35411519bbe174ddcc2242c7139b7d50},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 0; All Open Access, Gold Open Access, Green Open Access}
   }

5. Otavio A. D. Molitor, André H. A. Malavazi, Roberto Dobal Baldijão, Alexandre C. Orthey, Ismael L. Paiva, and Pedro R. Dieguez. Quantum switch instabilities with an open control. Communications Physics, 7(1), 2024. doi:10.1038/s42005-024-01843-y
   [BibTeX]

   @ARTICLE{Molitor2024,
     author = {Molitor, Otavio A. D. and Malavazi, André H. A. and Baldijão, Roberto Dobal and Orthey, Alexandre C. and Paiva, Ismael L. and Dieguez, Pedro R.},
     title = {Quantum switch instabilities with an open control},
     year = {2024},
     journal = {Communications Physics},
     volume = {7},
     number = {1},
     doi = {10.1038/s42005-024-01843-y},
     OPTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85209697444&doi=10.1038%2fs42005-024-01843-y&partnerID=40&md5=2adf8fcc13f53620fd44e4d826dc5ad8},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 2; All Open Access, Gold Open Access}
   }

6. Lukasz Rudnicki and Tomasz Linowski. Spectral and temporal metrology with band-limited functions and finite-time measurements. Physical Review A, 110(1), 2024. doi:10.1103/PhysRevA.110.012618
   [BibTeX]

   @ARTICLE{Rudnicki2024,
     author = {Rudnicki, Lukasz and Linowski, Tomasz},
     title = {Spectral and temporal metrology with band-limited functions and finite-time measurements},
     year = {2024},
     journal = {Physical Review A},
     volume = {110},
     number = {1},
     doi = {10.1103/PhysRevA.110.012618},
     OPTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85199691067&doi=10.1103%2fPhysRevA.110.012618&partnerID=40&md5=d42623ac3f9d71bb3266f6170f4a01d9},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 2; All Open Access, Green Open Access}
   }

7. Fattah Sakuldee and Behnam Tonekaboni. Noise decoupling for state transfer in continuous-variable systems. Physical Review A, 109(3), 2024. doi:10.1103/PhysRevA.109.032404
   [BibTeX]

   @ARTICLE{Sakuldee2024,
     author = {Sakuldee, Fattah and Tonekaboni, Behnam},
     title = {Noise decoupling for state transfer in continuous-variable systems},
     year = {2024},
     journal = {Physical Review A},
     volume = {109},
     number = {3},
     doi = {10.1103/PhysRevA.109.032404},
     OPTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85186642282&doi=10.1103%2fPhysRevA.109.032404&partnerID=40&md5=a30c0e5d676cc6f58dd29ec924c71cb3},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 1; All Open Access, Green Open Access}
   }

8. Paweł Horodecki, Łukasz Rudnicki, and Karol Życzkowski. Multipartite Entanglement, volume 1-5. , 2024. doi:10.1016/B978-0-323-95703-8.00265-2
   [BibTeX]

   @BOOK{Horodecki2024V2:135,
     author = {Horodecki, Paweł and Rudnicki, Łukasz and Życzkowski, Karol},
     title = {Multipartite Entanglement},
     year = {2024},
     journal = {Encyclopedia of Mathematical Physics, Second Edition: Volumes 1-5},
     volume = {1-5},
     pages = {V2:135-V2:150},
     doi = {10.1016/B978-0-323-95703-8.00265-2},
     OPTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85217653843&doi=10.1016%2fB978-0-323-95703-8.00265-2&partnerID=40&md5=8be602dd6db6cfefa06e1bba20ba6f84},
     type = {Book chapter},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 0; All Open Access, Green Open Access}
   }

9. Otavio A. D. Molitor and Łukasz Rudnicki. Quantum Switch as a Thermodynamic Resource in the Context of Passive States. Entropy, 26(2), 2024. doi:10.3390/e26020153
   [BibTeX] [Abstract]
   

   In recent years, many works have explored possible advantages of indefinite causal order, with the main focus on its controlled implementation known as quantum switch. In this paper, we tackle advantages in quantum thermodynamics, studying whether quantum switch is capable of activating a passive state, either alone or with extra resources (active control state) and/or operations (measurement of the control system). By disproving the first possibility and confirming the second one, we show that quantum switch is not a thermodynamic resource in the discussed context, though it can facilitate work extraction given external resources. We discuss our findings by considering specific examples: a qubit system subject to rotations around the x and y axes in the Bloch sphere, as well as general unitaries from the (Formula presented.) group; and the system as a quantum harmonic oscillator with displacement operators, as well as with a combination of displacement and squeeze operators. © 2024 by the authors.

   @ARTICLE{Molitor2024,
     author = {Molitor, Otavio A. D. and Rudnicki, Łukasz},
     title = {Quantum Switch as a Thermodynamic Resource in the Context of Passive States},
     year = {2024},
     journal = {Entropy},
     volume = {26},
     number = {2},
     doi = {10.3390/e26020153},
     OPTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85185964430&doi=10.3390%2fe26020153&partnerID=40&md5=af9760858993508319c68c7ee2fec075},
     abstract = {In recent years, many works have explored possible advantages of indefinite causal order, with the main focus on its controlled implementation known as quantum switch. In this paper, we tackle advantages in quantum thermodynamics, studying whether quantum switch is capable of activating a passive state, either alone or with extra resources (active control state) and/or operations (measurement of the control system). By disproving the first possibility and confirming the second one, we show that quantum switch is not a thermodynamic resource in the discussed context, though it can facilitate work extraction given external resources. We discuss our findings by considering specific examples: a qubit system subject to rotations around the x and y axes in the Bloch sphere, as well as general unitaries from the (Formula presented.) group; and the system as a quantum harmonic oscillator with displacement operators, as well as with a combination of displacement and squeeze operators. © 2024 by the authors.},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 0; All Open Access, Gold Open Access, Green Open Access}
   }

10. Lucas C. Céleri and Łukasz Rudnicki. Gauge-Invariant Quantum Thermodynamics: Consequences for the First Law. Entropy, 26(2), 2024. doi:10.3390/e26020111
    [BibTeX] [Abstract]
    

    The universality of classical thermodynamics rests on the central limit theorem, due to which, measurements of thermal fluctuations are unable to reveal detailed information regarding the microscopic structure of a macroscopic body. When small systems are considered and fluctuations become important, thermodynamic quantities can be understood in the context of classical stochastic mechanics. A fundamental assumption behind thermodynamics is therefore that of coarse graining, which stems from a substantial lack of control over all degrees of freedom. However, when quantum systems are concerned, one claims a high level of control. As a consequence, information theory plays a major role in the identification of thermodynamic functions. Here, drawing from the concept of gauge symmetry—essential in all modern physical theories—we put forward a new possible intermediate route. Working within the realm of quantum thermodynamics, we explicitly construct physically motivated gauge transformations which encode a gentle variant of coarse graining behind thermodynamics. As a first application of this new framework, we reinterpret quantum work and heat, as well as the role of quantum coherence. © 2024 by the authors.

    @ARTICLE{Céleri2024,
      author = {Céleri, Lucas C. and Rudnicki, Łukasz},
      title = {Gauge-Invariant Quantum Thermodynamics: Consequences for the First Law},
      year = {2024},
      journal = {Entropy},
      volume = {26},
      number = {2},
      doi = {10.3390/e26020111},
      OPTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85185964848&doi=10.3390%2fe26020111&partnerID=40&md5=bb3c6363fca5d64d32bab97eafe18492},
      abstract = {The universality of classical thermodynamics rests on the central limit theorem, due to which, measurements of thermal fluctuations are unable to reveal detailed information regarding the microscopic structure of a macroscopic body. When small systems are considered and fluctuations become important, thermodynamic quantities can be understood in the context of classical stochastic mechanics. A fundamental assumption behind thermodynamics is therefore that of coarse graining, which stems from a substantial lack of control over all degrees of freedom. However, when quantum systems are concerned, one claims a high level of control. As a consequence, information theory plays a major role in the identification of thermodynamic functions. Here, drawing from the concept of gauge symmetry—essential in all modern physical theories—we put forward a new possible intermediate route. Working within the realm of quantum thermodynamics, we explicitly construct physically motivated gauge transformations which encode a gentle variant of coarse graining behind thermodynamics. As a first application of this new framework, we reinterpret quantum work and heat, as well as the role of quantum coherence. © 2024 by the authors.},
      type = {Article},
      publication_stage = {Final},
      source = {Scopus},
      OPTnote = {Cited by: 2; All Open Access, Gold Open Access, Green Open Access}
    }

11. Konrad Schlichtholz and Łukasz Rudnicki. Superresolution in separation estimation between two dynamic incoherent sources using spatial demultiplexing. New Journal of Physics, 26(12), 2024. doi:10.1088/1367-2630/ad929d
    [BibTeX] [Abstract]
    

    Achieving resolution in the sub-Rayleigh regime (superresolution) is one of the rapidly developing topics in quantum optics and metrology. Recently, it was shown that perfect measurement based on spatial mode demultiplexing (SPADE) in Hermite-Gauss modes allows one to reach the quantum limit of precision for estimation of separation between two weak incoherent stationary sources. Since then, different imperfections such as misalignment or crosstalk between modes have been studied to check how this result translates into more realistic experimental setups. In this paper, we consider another deviation from the perfect setup by discarding the assumption about the stationarity of the sources. This is relevant for example for astrophysical applications where planets necessarily orbit around the star. We analyze two examples of dynamics: rotations and oscillations, showing the robustness of the SPADE-based measurement against them. The analysis is based on Fisher information, which allows one to obtain the precision limit through Cramér-Rao bound. Furthermore, we formulate a measurement algorithm that allows for the reduction of one parameter for estimation (system orientation angle) in the stationary sources scenario, maintaining the measurement precision despite the lack of knowledge about this parameter. © 2024 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft.

    @ARTICLE{Schlichtholz2024a,
      author = {Schlichtholz, Konrad and Rudnicki, Łukasz},
      title = {Superresolution in separation estimation between two dynamic incoherent sources using spatial demultiplexing},
      year = {2024},
      journal = {New Journal of Physics},
      volume = {26},
      number = {12},
      doi = {10.1088/1367-2630/ad929d},
      OPTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85211068167&doi=10.1088%2f1367-2630%2fad929d&partnerID=40&md5=34b2c7d6f1620e2cc30c212042370e34},
      abstract = {Achieving resolution in the sub-Rayleigh regime (superresolution) is one of the rapidly developing topics in quantum optics and metrology. Recently, it was shown that perfect measurement based on spatial mode demultiplexing (SPADE) in Hermite-Gauss modes allows one to reach the quantum limit of precision for estimation of separation between two weak incoherent stationary sources. Since then, different imperfections such as misalignment or crosstalk between modes have been studied to check how this result translates into more realistic experimental setups. In this paper, we consider another deviation from the perfect setup by discarding the assumption about the stationarity of the sources. This is relevant for example for astrophysical applications where planets necessarily orbit around the star. We analyze two examples of dynamics: rotations and oscillations, showing the robustness of the SPADE-based measurement against them. The analysis is based on Fisher information, which allows one to obtain the precision limit through Cramér-Rao bound. Furthermore, we formulate a measurement algorithm that allows for the reduction of one parameter for estimation (system orientation angle) in the stationary sources scenario, maintaining the measurement precision despite the lack of knowledge about this parameter. © 2024 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft.},
      type = {Article},
      publication_stage = {Final},
      source = {Scopus},
      OPTnote = {Cited by: 1; All Open Access, Gold Open Access, Green Open Access}
    }

12. Konrad Schlichtholz and Łukasz Rudnicki. Open dynamics of entanglement in mesoscopic bosonic systems. New Journal of Physics, 26(5), 2024. doi:10.1088/1367-2630/ad438a
    [BibTeX] [Abstract]
    

    A key issue in quantum information is finding an adequate description of mesoscopic systems that is simpler than full quantum formalism yet retains crucial information about non-classical phenomena like entanglement. In particular, the study of fully bosonic systems undergoing open evolution is of great importance for the advancement of photonic quantum computing and communication. In this paper, we propose a mesoscopic description of such systems based on boson number correlations. This description allows for tracking Markovian open evolution of entanglement of both non-Gaussian and Gaussian states and their sub-Poissonian statistics. It can be viewed as a generalization of the reduced state of the field formalism (Alicki 2019 Entropy 21 705), which by itself does not contain information about entanglement. As our approach adopts the structure of the description of two particles in terms of first quantization, it allows for broad intuitive usage of known tools. Using the proposed formalism, we show the robustness of entanglement against low-temperature damping for four-mode bright squeezed vacuum state and beam-splitted single photon. We also present a generalization of the Mandel Q parameter. Building upon this, we show that the entanglement of the state obtained by beam splitting of a single occupied mode is inherited from sub-Poissonian statistics of the input state. © 2024 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft.

    @ARTICLE{Schlichtholz2024aa,
      author = {Schlichtholz, Konrad and Rudnicki, Łukasz},
      title = {Open dynamics of entanglement in mesoscopic bosonic systems},
      year = {2024},
      journal = {New Journal of Physics},
      volume = {26},
      number = {5},
      doi = {10.1088/1367-2630/ad438a},
      OPTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85193610322&doi=10.1088%2f1367-2630%2fad438a&partnerID=40&md5=2169a75f40541f919aef5582259c259a},
      abstract = {A key issue in quantum information is finding an adequate description of mesoscopic systems that is simpler than full quantum formalism yet retains crucial information about non-classical phenomena like entanglement. In particular, the study of fully bosonic systems undergoing open evolution is of great importance for the advancement of photonic quantum computing and communication. In this paper, we propose a mesoscopic description of such systems based on boson number correlations. This description allows for tracking Markovian open evolution of entanglement of both non-Gaussian and Gaussian states and their sub-Poissonian statistics. It can be viewed as a generalization of the reduced state of the field formalism (Alicki 2019 Entropy 21 705), which by itself does not contain information about entanglement. As our approach adopts the structure of the description of two particles in terms of first quantization, it allows for broad intuitive usage of known tools. Using the proposed formalism, we show the robustness of entanglement against low-temperature damping for four-mode bright squeezed vacuum state and beam-splitted single photon. We also present a generalization of the Mandel Q parameter. Building upon this, we show that the entanglement of the state obtained by beam splitting of a single occupied mode is inherited from sub-Poissonian statistics of the input state. © 2024 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft.},
      type = {Article},
      publication_stage = {Final},
      source = {Scopus},
      OPTnote = {Cited by: 0; All Open Access, Gold Open Access, Green Open Access}
    }

2023

1. Konrad Schlichtholz, Tomasz Linowski, Mattia Walschaers, Nicolas Treps, Lukasz Rudnicki, and Giacomo Sorelli. Practical Tests for Sub-Rayleigh Source Discrimination with Imperfect Demultiplexers. Quantum 2.0: Proceedings Optica Quantum 2.0 Conference and Exhibition, 2023. doi:10.1364/QUANTUM.2023.QTh3A.6
   [BibTeX]

   @CONFERENCE{Schlichtholz2023,
     author = {Schlichtholz, Konrad and Linowski, Tomasz and Walschaers, Mattia and Treps, Nicolas and Rudnicki, Lukasz and Sorelli, Giacomo},
     title = {Practical Tests for Sub-Rayleigh Source Discrimination with Imperfect Demultiplexers},
     year = {2023},
     journal = {Quantum 2.0: Proceedings Optica Quantum 2.0 Conference and Exhibition},
     doi = {10.1364/QUANTUM.2023.QTh3A.6},
     OPTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85191428491&doi=10.1364%2fQUANTUM.2023.QTh3A.6&partnerID=40&md5=02656f75a23d5ef8bf921f0a54963908},
     type = {Conference paper},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 0}
   }

2. Tomasz Linowski, Konrad Schlichtholz, Giacomo Sorelli, Manuel Gessner, Mattia Walschaers, Nicolas Treps, and Lukasz Rudnicki. Application Range of Crosstalk-Affected Spatial Demultiplexing for Resolving Separations Between Unbalanced Sources. Quantum 2.0: Proceedings Optica Quantum 2.0 Conference and Exhibition, 2023. doi:10.1364/QUANTUM.2023.QTh2A.22
   [BibTeX]

   @CONFERENCE{Linowski2023,
     author = {Linowski, Tomasz and Schlichtholz, Konrad and Sorelli, Giacomo and Gessner, Manuel and Walschaers, Mattia and Treps, Nicolas and Rudnicki, Lukasz},
     title = {Application Range of Crosstalk-Affected Spatial Demultiplexing for Resolving Separations Between Unbalanced Sources},
     year = {2023},
     journal = {Quantum 2.0: Proceedings Optica Quantum 2.0 Conference and Exhibition},
     doi = {10.1364/QUANTUM.2023.QTh2A.22},
     OPTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85191486331&doi=10.1364%2fQUANTUM.2023.QTh2A.22&partnerID=40&md5=b98b40776d3fee44056f6feb9d994a2c},
     type = {Conference paper},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 0; All Open Access, Green Open Access}
   }

3. Tomasz Linowski, Łukasz Rudnicki, and Clemens Gneiting. Spectral stabilizability. Physical Review A, 107(4), 2023. doi:10.1103/PhysRevA.107.042218
   [BibTeX]

   @ARTICLE{Linowski2023,
     author = {Linowski, Tomasz and Rudnicki, Łukasz and Gneiting, Clemens},
     title ="{Spectral stabilizability}",
     year = {2023},
     journal = {Physical Review A},
     volume = {107},
     number = {4},
     doi = {10.1103/PhysRevA.107.042218},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85153862553&doi=10.1103%2fPhysRevA.107.042218&partnerID=40&md5=87fbaf99d9393366c36a9d5d93905ef4},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 0; All Open Access, Green Open Access}
   }

4. Tomasz Linowski, Konrad Schlichtholz, Giacomo Sorelli, Manuel Gessner, Mattia Walschaers, Nicolas Treps, and Łukasz Rudnicki. Application range of crosstalk-affected spatial demultiplexing for resolving separations between unbalanced sources. New Journal of Physics, 25(10), 2023. doi:10.1088/1367-2630/ad0173
   [BibTeX]

   @ARTICLE{Linowski2023aa,
     author = {Linowski, Tomasz and Schlichtholz, Konrad and Sorelli, Giacomo and Gessner, Manuel and Walschaers, Mattia and Treps, Nicolas and Rudnicki, Łukasz},
     title ="{Application range of crosstalk-affected spatial demultiplexing for resolving separations between unbalanced sources}",
     year = {2023},
     journal = {New Journal of Physics},
     volume = {25},
     number = {10},
     doi = {10.1088/1367-2630/ad0173},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85176464801&doi=10.1088%2f1367-2630%2fad0173&partnerID=40&md5=ef862b8e6d14cb1a37136530a6a723c6},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 0; All Open Access, Gold Open Access, Green Open Access}
   }

5. Fattah Sakuldee and Łukasz Rudnicki. Bounds on the breaking time for entanglement-breaking channels. Physical Review A, 107(2), 2023. doi:10.1103/PhysRevA.107.022430
   [BibTeX]

   @ARTICLE{Sakuldee2023,
     author = {Sakuldee, Fattah and Rudnicki, Łukasz},
     title ="{Bounds on the breaking time for entanglement-breaking channels}",
     year = {2023},
     journal = {Physical Review A},
     volume = {107},
     number = {2},
     doi = {10.1103/PhysRevA.107.022430},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85149776995&doi=10.1103%2fPhysRevA.107.022430&partnerID=40&md5=2aabf4d4591fa6808fa3992bc9d1c1f2},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 0; All Open Access, Green Open Access}
   }

6. T. Linowski and Ł. Rudnicki. Classicality of the Bogoliubov Transformations and the Dynamical Casimir Effect Through the Reduced State of the Field. Acta Physica Polonica A, 143(6):S95-S106, 2023. doi:10.12693/APhysPolA.143.S95
   [BibTeX]

   @ARTICLE{Linowski2023S95,
     author = {Linowski, T. and Rudnicki, Ł.},
     title ="{Classicality of the Bogoliubov Transformations and the Dynamical Casimir Effect Through the Reduced State of the Field}",
     year = {2023},
     journal = {Acta Physica Polonica A},
     volume = {143},
     number = {6},
     pages = {S95-S106},
     doi = {10.12693/APhysPolA.143.S95},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85164953979&doi=10.12693%2fAPhysPolA.143.S95&partnerID=40&md5=4079b1f62f29dcf0e5d902b7d83b5570},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 0; All Open Access, Bronze Open Access, Green Open Access}
   }

7. Tomasz Linowski, Konrad Schlichtholz, and Łukasz Rudnicki. Formal relation between Pegg-Barnett and Paul quantum phase frameworks. Physical Review A, 107(3), 2023. doi:10.1103/PhysRevA.107.033707
   [BibTeX]

   @ARTICLE{Linowski2023ab,
     author = {Linowski, Tomasz and Schlichtholz, Konrad and Rudnicki, Łukasz},
     title ="{Formal relation between Pegg-Barnett and Paul quantum phase frameworks}",
     year = {2023},
     journal = {Physical Review A},
     volume = {107},
     number = {3},
     doi = {10.1103/PhysRevA.107.033707},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85151284955&doi=10.1103%2fPhysRevA.107.033707&partnerID=40&md5=33a169b876fa6ffd925bb735577b6624},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 1; All Open Access, Green Open Access}
   }

2022

1. Paweł Horodecki, Łukasz Rudnicki, and Karol Zyczkowski. Five Open Problems in Quantum Information Theory. PRX Quantum, 3(1), 2022. doi:10.1103/PRXQuantum.3.010101
   [BibTeX]

   @ARTICLE{Horodecki2022,
     author = {Horodecki, Paweł and Rudnicki, Łukasz and Zyczkowski, Karol},
     title ="{Five Open Problems in Quantum Information Theory}",
     year = {2022},
     journal = {PRX Quantum},
     volume = {3},
     number = {1},
     doi = {10.1103/PRXQuantum.3.010101},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85127119274&doi=10.1103%2fPRXQuantum.3.010101&partnerID=40&md5=4c2b15d0b0d1a41b15bdd44b064a4c9f},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 23; All Open Access, Gold Open Access, Green Open Access}
   }

2. Thais L. Silva, Łukasz Rudnicki, Daniel S. Tasca, and Stephen P. Walborn. Discretized continuous quantum-mechanical observables that are neither continuous nor discrete. Physical Review Research, 4(1), 2022. doi:10.1103/PhysRevResearch.4.013060
   [BibTeX]

   @ARTICLE{Silva2022,
     author = {Silva, Thais L. and Rudnicki, Łukasz and Tasca, Daniel S. and Walborn, Stephen P.},
     title ="{Discretized continuous quantum-mechanical observables that are neither continuous nor discrete}",
     year = {2022},
     journal = {Physical Review Research},
     volume = {4},
     number = {1},
     doi = {10.1103/PhysRevResearch.4.013060},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85125565419&doi=10.1103%2fPhysRevResearch.4.013060&partnerID=40&md5=23cf6e957aa10838588a2522b9e04e68},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 1; All Open Access, Gold Open Access, Green Open Access}
   }

3. Łukasz Rudnicki. Geophysics and Stuart stuart vortices on a sphere meet differential geometry. Communications on Pure and Applied Analysis, 21(7):2479-2493, 2022. doi:10.3934/cpaa.2022075
   [BibTeX]

   @ARTICLE{Rudnicki20222479,
     author = {Rudnicki, Łukasz},
     title ="{Geophysics and Stuart stuart vortices on a sphere meet differential geometry}",
     year = {2022},
     journal = {Communications on Pure and Applied Analysis},
     volume = {21},
     number = {7},
     pages = {2479-2493},
     doi = {10.3934/cpaa.2022075},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85131924938&doi=10.3934%2fcpaa.2022075&partnerID=40&md5=f31cb2bd28327ffd3fc27aff84766351},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 2; All Open Access, Bronze Open Access, Green Open Access}
   }

4. Fattah Sakuldee, Philip Taranto, and Simon Milz. Connecting commutativity and classicality for multitime quantum processes. Physical Review A, 106(2), 2022. doi:10.1103/PhysRevA.106.022416
   [BibTeX]

   @ARTICLE{Sakuldee2022,
     author = {Sakuldee, Fattah and Taranto, Philip and Milz, Simon},
     title ="{Connecting commutativity and classicality for multitime quantum processes}",
     year = {2022},
     journal = {Physical Review A},
     volume = {106},
     number = {2},
     doi = {10.1103/PhysRevA.106.022416},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85137160721&doi=10.1103%2fPhysRevA.106.022416&partnerID=40&md5=fb8de3464bfb88abb9511242b354698b},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 0; All Open Access, Green Open Access}
   }

5. Stefano Cusumano. Quantum Collision Models: A Beginner Guide. Entropy, 24(9), 2022. doi:10.3390/e24091258
   [BibTeX]

   @ARTICLE{Cusumano2022,
     author = {Cusumano, Stefano},
     title ="{Quantum Collision Models: A Beginner Guide}",
     year = {2022},
     journal = {Entropy},
     volume = {24},
     number = {9},
     doi = {10.3390/e24091258},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85138521516&doi=10.3390%2fe24091258&partnerID=40&md5=98435a193650f32b71bf44e77cdc2132},
     type = {Review},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 5; All Open Access, Gold Open Access, Green Open Access}
   }

6. Tomasz Linowski and Łukasz Rudnicki. Reduced state of the field and classicality of quantum Gaussian evolution. Physical Review A, 106(6), 2022. doi:10.1103/PhysRevA.106.062204
   [BibTeX]

   @ARTICLE{Linowski2022,
     author = {Linowski, Tomasz and Rudnicki, Łukasz},
     title ="{Reduced state of the field and classicality of quantum Gaussian evolution}",
     year = {2022},
     journal = {Physical Review A},
     volume = {106},
     number = {6},
     doi = {10.1103/PhysRevA.106.062204},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85143721010&doi=10.1103%2fPhysRevA.106.062204&partnerID=40&md5=e4abdbbc0625cf2b832dc50cbc19cc00},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 1; All Open Access, Green Open Access}
   }

7. Fattah Sakuldee and Łukasz Cywiński. Statistics of projective measurement on a quantum probe as a witness of noncommutativity of algebra of a probed system. Quantum Information Processing, 21(7), 2022. doi:10.1007/s11128-022-03576-9
   [BibTeX]

   @ARTICLE{Sakuldee2022aa,
     author = {Sakuldee, Fattah and Cywiński, Łukasz},
     title ="{Statistics of projective measurement on a quantum probe as a witness of noncommutativity of algebra of a probed system}",
     year = {2022},
     journal = {Quantum Information Processing},
     volume = {21},
     number = {7},
     doi = {10.1007/s11128-022-03576-9},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85134256896&doi=10.1007%2fs11128-022-03576-9&partnerID=40&md5=8c71ca956541a4ebc75a143c422272b9},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 3; All Open Access, Green Open Access}
   }

8. Klaus Liegener and Lukasz Rudnicki. Quantum speed limit and stability of coherent states in quantum gravity. Classical and Quantum Gravity, 39(12), 2022. doi:10.1088/1361-6382/ac6faa
   [BibTeX]

   @ARTICLE{Liegener2022,
     author = {Liegener, Klaus and Rudnicki, Lukasz},
     title ="{Quantum speed limit and stability of coherent states in quantum gravity}",
     year = {2022},
     journal = {Classical and Quantum Gravity},
     volume = {39},
     number = {12},
     doi = {10.1088/1361-6382/ac6faa},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85131409057&doi=10.1088%2f1361-6382%2fac6faa&partnerID=40&md5=397ff80e5b682342816a43b19e38faf9},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 1; All Open Access, Green Open Access}
   }

9. Tomasz Linowski, Alexander Teretenkov, and Łukasz Rudnicki. Dissipative evolution of quantum Gaussian states. Physical Review A, 106(5), 2022. doi:10.1103/PhysRevA.106.052206
   [BibTeX]

   @ARTICLE{Linowski2022aa,
     author = {Linowski, Tomasz and Teretenkov, Alexander and Rudnicki, Łukasz},
     title ="{Dissipative evolution of quantum Gaussian states}",
     year = {2022},
     journal = {Physical Review A},
     volume = {106},
     number = {5},
     doi = {10.1103/PhysRevA.106.052206},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85142009910&doi=10.1103%2fPhysRevA.106.052206&partnerID=40&md5=f98f549d739ee648ca327c5c44def751},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 4; All Open Access, Green Open Access}
   }

2021

1. Łukasz Rudnicki and Stephen P. Walborn. Entropic uncertainty relations for mutually unbiased periodic coarse-grained observables resembling their discrete counterparts. Physical Review A, 104(4), 2021. doi:10.1103/PhysRevA.104.042210
   [BibTeX]

   @ARTICLE{Rudnicki2021,
     author = {Rudnicki, Łukasz and Walborn, Stephen P.},
     title ="{Entropic uncertainty relations for mutually unbiased periodic coarse-grained observables resembling their discrete counterparts}",
     year = {2021},
     journal = {Physical Review A},
     volume = {104},
     number = {4},
     doi = {10.1103/PhysRevA.104.042210},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85118199973&doi=10.1103%2fPhysRevA.104.042210&partnerID=40&md5=6759e59dce231b46625f17eb894db24c},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 3; All Open Access, Green Open Access}
   }

2. Stefano Cusumano and Łukasz Rudnicki. Comment on “fluctuations in Extractable Work Bound the Charging Power of Quantum Batteries”. Physical Review Letters, 127(2), 2021. doi:10.1103/PhysRevLett.127.028901
   [BibTeX]

   @ARTICLE{Cusumano2021,
     author = {Cusumano, Stefano and Rudnicki, Łukasz},
     title ="{Comment on "fluctuations in Extractable Work Bound the Charging Power of Quantum Batteries"}",
     year = {2021},
     journal = {Physical Review Letters},
     volume = {127},
     number = {2},
     doi = {10.1103/PhysRevLett.127.028901},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85110071712&doi=10.1103%2fPhysRevLett.127.028901&partnerID=40&md5=6675646a859dd59b3f6b79a166e96425},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 4; All Open Access, Green Open Access}
   }

3. Łukasz Rudnicki. Quantum speed limit and geometric measure of entanglement. Physical Review A, 104(3), 2021. doi:10.1103/PhysRevA.104.032417
   [BibTeX]

   @ARTICLE{Rudnicki2021aa,
     author = {Rudnicki, Łukasz},
     title ="{Quantum speed limit and geometric measure of entanglement}",
     year = {2021},
     journal = {Physical Review A},
     volume = {104},
     number = {3},
     doi = {10.1103/PhysRevA.104.032417},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85115888498&doi=10.1103%2fPhysRevA.104.032417&partnerID=40&md5=d42dd77ca8e4c69f738443e731fe3cfc},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 9; All Open Access, Green Open Access}
   }

4. Klaus Liegener and Łukasz Rudnicki. Algorithmic approach to cosmological coherent state expectation values in loop quantum gravity. Classical and Quantum Gravity, 38(20), 2021. doi:10.1088/1361-6382/ac226f
   [BibTeX]

   @ARTICLE{Liegener2021,
     author = {Liegener, Klaus and Rudnicki, Łukasz},
     title ="{Algorithmic approach to cosmological coherent state expectation values in loop quantum gravity}",
     year = {2021},
     journal = {Classical and Quantum Gravity},
     volume = {38},
     number = {20},
     doi = {10.1088/1361-6382/ac226f},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85116938684&doi=10.1088%2f1361-6382%2fac226f&partnerID=40&md5=e28aaa6dac9cb9bb7cf41367a897bb53},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 5; All Open Access, Green Open Access}
   }

2020

1. Tomasz Linowski, Clemens Gneiting, and Łukasz Rudnicki. Stabilizing entanglement in two-mode Gaussian states. Physical Review A, 102(4), 2020. doi:10.1103/PhysRevA.102.042405
   [BibTeX]

   @ARTICLE{Linowski2020,
     author = {Linowski, Tomasz and Gneiting, Clemens and Rudnicki, Łukasz},
     title ="{Stabilizing entanglement in two-mode Gaussian states}",
     year = {2020},
     journal = {Physical Review A},
     volume = {102},
     number = {4},
     doi = {10.1103/PhysRevA.102.042405},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85094588414&doi=10.1103%2fPhysRevA.102.042405&partnerID=40&md5=fcb1e1a91c4f452db5a417d020810beb},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 9; All Open Access, Green Open Access}
   }

2. Simon Milz, Fattah Sakuldee, Felix A. Pollock, and Kavan Modi. Kolmogorov extension theorem for (quantum) causal modelling and general probabilistic theories. Quantum, 4, 2020. doi:10.22331/q-2020-04-20-255
   [BibTeX]

   @ARTICLE{Milz2020,
     author = {Milz, Simon and Sakuldee, Fattah and Pollock, Felix A. and Modi, Kavan},
     title ="{Kolmogorov extension theorem for (quantum) causal modelling and general probabilistic theories}",
     year = {2020},
     journal = {Quantum},
     volume = {4},
     doi = {10.22331/q-2020-04-20-255},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85091247978&doi=10.22331%2fq-2020-04-20-255&partnerID=40&md5=a46363ecfc701061941b56cd09317e11},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 31; All Open Access, Gold Open Access, Green Open Access}
   }

3. Ł. Rudnicki, L. L. Sánchez-Soto, G. Leuchs, and R. W. Boyd. Fundamental quantum limits in ellipsometry. Optics Letters, 45(16):4607-4610, 2020. doi:10.1364/OL.392955
   [BibTeX]

   @ARTICLE{Rudnicki20204607,
     author = {Rudnicki, Ł. and Sánchez-Soto, L.L. and Leuchs, G. and Boyd, R.W.},
     title ="{Fundamental quantum limits in ellipsometry}",
     year = {2020},
     journal = {Optics Letters},
     volume = {45},
     number = {16},
     pages = {4607-4610},
     doi = {10.1364/OL.392955},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85089535479&doi=10.1364%2fOL.392955&partnerID=40&md5=31d354f27084e797f1bfc9c9ea380cf4},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 9; All Open Access, Green Open Access}
   }

4. Tomasz Linowski, Grzegorz Rajchel-Mieldzioć, and Karol Zyczkowski. Entangling power of multipartite unitary gates. Journal of Physics A: Mathematical and Theoretical, 53(12), 2020. doi:10.1088/1751-8121/ab749a
   [BibTeX]

   @ARTICLE{Linowski2020aa,
     author = {Linowski, Tomasz and Rajchel-Mieldzioć, Grzegorz and Zyczkowski, Karol},
     title ="{Entangling power of multipartite unitary gates}",
     year = {2020},
     journal = {Journal of Physics A: Mathematical and Theoretical},
     volume = {53},
     number = {12},
     doi = {10.1088/1751-8121/ab749a},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85083632677&doi=10.1088%2f1751-8121%2fab749a&partnerID=40&md5=e0577d5df8123d0f073a1a11480570db},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 5; All Open Access, Green Open Access, Hybrid Gold Open Access}
   }

2019

1. Alejandro Pozas-Kerstjens, Rafael Rabelo, Łukasz Rudnicki, Rafael Chaves, Daniel Cavalcanti, Miguel Navascués, and Antonio Acín. Bounding the Sets of Classical and Quantum Correlations in Networks. Physical Review Letters, 123(14), 2019. doi:10.1103/PhysRevLett.123.140503
   [BibTeX]

   @ARTICLE{Pozas-Kerstjens2019,
     author = {Pozas-Kerstjens, Alejandro and Rabelo, Rafael and Rudnicki, Łukasz and Chaves, Rafael and Cavalcanti, Daniel and Navascués, Miguel and Acín, Antonio},
     title ="{Bounding the Sets of Classical and Quantum Correlations in Networks}",
     year = {2019},
     journal = {Physical Review Letters},
     volume = {123},
     number = {14},
     doi = {10.1103/PhysRevLett.123.140503},
     OTurl = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-85073050982&doi=10.1103%2fPhysRevLett.123.140503&partnerID=40&md5=e8eec371fc8496053e9292fe6614b99f},
     type = {Article},
     publication_stage = {Final},
     source = {Scopus},
     OPTnote = {Cited by: 32; All Open Access, Green Open Access}
   }

2023

1. Fattah Sakuldee and Behnam Tonekaboni. Noise Decoupling for State Transfer in Continuous Variable Systems. arXiv preprint arXiv:2307.02059, 2023.
   [BibTeX]

   @article{Sakuldee2023noise-decoupling,
   title={Noise Decoupling for State Transfer in Continuous Variable Systems}, 
   author={Fattah Sakuldee and Behnam Tonekaboni},
   year={2023},
   journal={arXiv preprint arXiv:2307.02059}
   }

2022

1. Łukasz Rudnicki, Waldemar Kłobus, Otavio A. D. Molitor, and Wiesław Laskowski. Salient signatures of entanglement in the surrounding environment. 2022. doi:10.48550/ARXIV.2209.05197
   [BibTeX]

   @misc{https://doi.org/10.48550/arxiv.2209.05197,
     doi = {10.48550/ARXIV.2209.05197},
     OPTurl = {https://arxiv.org/abs/2209.05197},
     author = {Rudnicki, Łukasz and Kłobus, Waldemar and Molitor, Otavio A. D. and Laskowski, Wiesław},
     keywords = {Quantum Physics (quant-ph), FOS: Physical sciences, FOS: Physical sciences},
     title = {Salient signatures of entanglement in the surrounding environment},
     publisher = {arXiv},
     year = {2022},
   }

2. Tomasz Linowski, Alexander Teretenkov, and Łukasz Rudnicki. Dissipative evolution of quantum Gaussian states. arXiv e-prints, pages arXiv:2105.12644, 2022.
   [BibTeX] [Abstract]
   

   The covariance matrix contains the complete information about the second-order expectation values of the mode quadratures (position and momentum operators) of the system. Due to its prominence in studies of continuous variable systems, most significantly Gaussian states, special emphasis is put on time evolution models that result in self-contained equations for the covariance matrix. So far, despite not being explicitly implied by this requirement, virtually all such models assume a so- called quadratic, or second-order case, in which the generator of the evolution is at most second-order in the mode quadratures. Here, we provide an explicit model of covariance matrix evolution of infinite order. Furthermore, we derive the solution, including stationary states, for a large subclass of proposed evolutions. Our findings challenge the contemporary understanding of covariance matrix dynamics and may give rise to new methods and improvements in quantum technologies employing continuous variable systems.

   @Article{Linowski2021a,
     author        =  {Linowski, Tomasz and Teretenkov, Alexander and Rudnicki, Łukasz},
     journal       = {arXiv e-prints},
     title         = {Dissipative evolution of quantum Gaussian states},
     year          = {2022},
     pages         = {arXiv:2105.12644},
     abstract      = {The covariance matrix contains the complete information about the         second-order expectation values of the mode quadratures         (position and momentum operators) of the system. Due to its         prominence in studies of continuous variable systems, most         significantly Gaussian states, special emphasis is put on time         evolution models that result in self-contained equations for the         covariance matrix. So far, despite not being explicitly implied         by this requirement, virtually all such models assume a so-         called quadratic, or second-order case, in which the generator         of the evolution is at most second-order in the mode         quadratures. Here, we provide an explicit model of covariance         matrix evolution of infinite order. Furthermore, we derive the         solution, including stationary states, for a large subclass of         proposed evolutions. Our findings challenge the contemporary         understanding of covariance matrix dynamics and may give rise to         new methods and improvements in quantum technologies employing         continuous variable systems.},
     archiveprefix = {arXiv},
     eid           = {arXiv:2105.12644},
     eprint        = {2105.12644},
     keywords      = {Quantum {P}hysics},
     primaryclass  = {quant-ph},
     OPTurl           = {https://ui.adsabs.harvard.edu/abs/2021arXiv210512644L},
   }

3. Tomasz Linowski, Konrad Schlichtholz, and Łukasz Rudnicki. A formal relation between Pegg-Barnett and Paul quantum phase frameworks. arXiv e-prints, pages arXiv.2205.09481, 2022.
   [BibTeX] [Abstract]
   

   The problem of defining a Hermitian quantum phase operator is nearly as old as quantum mechanics itself. Throughout the years, a number of solutions was proposed, ranging from abstract operator formalisms to phase-space methods. In this work, we connect two of the most prominent approaches: Pegg-Barnett and Paul formalisms, by proving that the Paul formalism is equivalent to the Pegg-Barnett formalism applied to an infinitely amplified state. Our findings fill in a conceptual gap in the understanding of the quantum phase problem.

   @Article{Linowski2022,
     author        = {Linowski, Tomasz and Schlichtholz, Konrad and Rudnicki, Łukasz},
     journal       = {arXiv e-prints},
     title         = {A formal relation between Pegg-Barnett and Paul quantum phase frameworks},
     year          = {2022},
     OPTmonth         = may,
     pages         = {arXiv.2205.09481},
     abstract      = {The problem of defining a Hermitian quantum phase operator is nearly as old as quantum mechanics itself. Throughout the years, a number of solutions was proposed, ranging from abstract operator formalisms to phase-space methods. In this work, we connect two of the most prominent approaches: Pegg-Barnett and Paul formalisms, by proving that the Paul formalism is equivalent to the Pegg-Barnett formalism applied to an infinitely amplified state. Our findings fill in a conceptual gap in the understanding of the quantum phase problem.},
     archiveprefix = {arXiv},
     eid           = {arXiv.2205.09481},
     eprint        = {2205.09481},
     keywords      = {Quantum Physics, Physical sciences},
     primaryclass  = {quant-ph},
     OPTurl           = {https://arxiv.org/abs/2205.09481},
   }

2021

1. Lucas Chibebe Céleri and Łukasz Rudnicki. Gauge invariant quantum thermodynamics: consequences for the first law. arXiv e-prints, pages arXiv:2104.10153, 2021.
   [BibTeX] [Abstract]
   

   Universality of classical thermodynamics rests on the central limit theorem, due to which, measurements of thermal fluctuations are unable to reveal detailed information regarding the microscopic structure of a macroscopic body. When small systems are considered and fluctuations become important, thermodynamic quantities can be understood in the context of classical stochastic mechanics. A fundamental assumption behind thermodynamics is therefore that of coarse-graning, which stems from a substantial lack of control over all degrees of freedom. However, when quantum systems are concerned, one claims a high level of control. As a consequence, information theory plays a major role in the identification of thermodynamic functions. Here, drawing from the concept of gauge symmetry, essential in all modern physical theories, we put forward a new possible, intermediate route. Working within the realm of quantum thermodynamics we explicitly construct physically motivated gauge transformations which encode a gentle variant of coarse- graining behind thermodynamics. As a consequence, we reinterpret quantum work and heat, as well as the role of quantum coherence.

   @Article{ChibebeCeleri2021,
     author        = {Chibebe Céleri, Lucas and Rudnicki, Łukasz},
     journal       = {arXiv e-prints},
     title         = {Gauge invariant quantum thermodynamics: consequences for the first law},
     year          = {2021},
     OPTmonth         = apr,
     pages         = {arXiv:2104.10153},
     abstract      = {Universality of classical thermodynamics rests on the central limit         theorem, due to which, measurements of thermal fluctuations are         unable to reveal detailed information regarding the microscopic         structure of a macroscopic body. When small systems are         considered and fluctuations become important, thermodynamic         quantities can be understood in the context of classical         stochastic mechanics. A fundamental assumption behind         thermodynamics is therefore that of coarse-graning, which stems         from a substantial lack of control over all degrees of freedom.         However, when quantum systems are concerned, one claims a high         level of control. As a consequence, information theory plays a         major role in the identification of thermodynamic functions.         Here, drawing from the concept of gauge symmetry, essential in         all modern physical theories, we put forward a new possible,         intermediate route. Working within the realm of quantum         thermodynamics we explicitly construct physically motivated         gauge transformations which encode a gentle variant of coarse-         graining behind thermodynamics. As a consequence, we reinterpret         quantum work and heat, as well as the role of quantum coherence.},
     archiveprefix = {arXiv},
     eid           = {arXiv:2104.10153},
     eprint        = {2104.10153},
     keywords      = {Quantum Physics},
     primaryclass  = {quant-ph},
     OPTurl           = {https://ui.adsabs.harvard.edu/abs/2021arXiv210410153C},
   }

2. Tomasz Linowski and Łukasz Rudnicki. Reduced state of the field and classicality of quantum Gaussian evolution. arXiv e-prints, pages arXiv:2107.03196, 2021.
   [BibTeX] [Abstract]
   

   We discuss compatibility between various quantum aspects of bosonic fields, relevant for quantum optics and quantum thermodynamics, and the mesoscopic formalism of reduced state of the field (RSF). In particular, we derive exact conditions under which Gaussian and Bogoliubov-type evolutions can be cast into the RSF framework. In that regard, special emphasis is put on Gaussian thermal operations. To strengthen the link between the RSF formalism and the notion of classicality for bosonic quantum fields, we prove that RSF contains no information about entanglement in two-mode Gaussian states. For the same purpose, we show that the entropic characterisation of RSF by means of the von Neumann entropy is qualitatively the same as its description based on the Wehrl entropy. Our findings help bridge the conceptual gap between quantum and classical mechanics.

   @Article{Linowski2021,
     author        = {Linowski, Tomasz and Rudnicki, Łukasz},
     journal       = {arXiv e-prints},
     title         = {Reduced state of the field and classicality of quantum Gaussian evolution},
     year          = {2021},
     OPTmonth         = jul,
     pages         = {arXiv:2107.03196},
     abstract      = {We discuss compatibility between various quantum aspects of bosonic         fields, relevant for quantum optics and quantum thermodynamics,         and the mesoscopic formalism of reduced state of the field         (RSF). In particular, we derive exact conditions under which         Gaussian and Bogoliubov-type evolutions can be cast into the RSF         framework. In that regard, special emphasis is put on Gaussian         thermal operations. To strengthen the link between the RSF         formalism and the notion of classicality for bosonic quantum         fields, we prove that RSF contains no information about         entanglement in two-mode Gaussian states. For the same purpose,         we show that the entropic characterisation of RSF by means of         the von Neumann entropy is qualitatively the same as its         description based on the Wehrl entropy. Our findings help bridge         the conceptual gap between quantum and classical mechanics.},
     archiveprefix = {arXiv},
     eid           = {arXiv:2107.03196},
     eprint        = {2107.03196},
     keywords      = {Quantum Physics},
     primaryclass  = {quant-ph},
     OPTurl           = {https://ui.adsabs.harvard.edu/abs/2021arXiv210703196L},
   }