ApresSF – Application-ready superresolution in space and frequency

About

The wave-particle duality of light introduces two fundamental problems to imaging: the diffraction limit and photon shot noise. With quantum information theory one can tackle both of them with a single holistic formalism: model the light as a quantum object, consider any quantum measurement, and pick the one that gives the best statistics. While Helstrom pioneered the theory and first applied it to incoherent imaging back in the 1970s, it was not until recently that the approach offered genuine surprises on the age-old topic by predicting a new class of superior imaging methods.

For the resolution of two sub-Rayleigh sources, such as stars or microscopic fluorophores, novel methods have very recently been theoretically and experimentally shown to outperform direct imaging, reaching the true quantum limits. Further efforts to generalize the theory for arbitrary sources suggest that, despite the existence of harsh quantum limits, the quantum-inspired methods can still offer significant improvements over direct imaging, potentially rendering more applications in astronomy, as well as in fluorescence microscopy. Such protocols for quantum-enhanced parameter estimation can also be applied to measure time or frequency with very high accuracy.

Given the know-how of the partners, in this project we plan to design, systematically study and implement engineered coherent measurements in order to push the metrological resolution in space, time and frequency to its limits, at the same time making it available for technological and industrial applications.

ApresSF is part of the QuantERA programme.

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Members

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List of publications

• Konrad Schlichtholz, Tomasz Linowski, Mattia Walschaers, Nicolas Treps, Łukasz Rudnicki, and Giacomo Sorelli. Practical tests for sub-Rayleigh source discriminations with imperfect demultiplexers. Optica Quantum Vol. 2, Issue 1, pp. 29-34, 2024.
• 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 J. Phys. 25 103050, 2023.
• Ángel S. Sanz. Quantum–Classical Entropy Analysis for Nonlinearly-Coupled Continuous-Variable Bipartite Systems, Entropy 24, 190, 2022.
• Nina Megier, Andrea Smirne, Steve Campbell, Bassano Vacchini. Correlations, information backflow, and objectivity in a class of pure dephasing models, Entropy 24, 304, 2022.
• Aaron Z. Goldberg, Markus Grassl, Gerd Leuchs, Luis L. Sánchez-Soto. Quantumness beyond entanglement: The case of symmetric states, Phys. Rev. A 105, 022433, 2022.
• Syamsundar De, Jano Gil-Lopez, Benjamin Brecht Christine Silberhorn, Luis L. Sánchez-Soto, Zdeněk Hradil, Jaroslav Řeháček. Effects of coherence on temporal resolution, Phys. Rev. Research 3, 033082, 2021.
• Vahid Ansari, Benjamin Brecht, Jano Gil-Lopez, John M. Donohue, Jaroslav Řeháček, Zdeněk Hradil, Luis L. Sánchez-Soto, Christine Silberhorn. Achieving the ultimate quantum timing resolution, PRX Quantum 2, 010301, 2021.
• Yong Siah Teo, Luis L. Sánchez-Soto. Modern compressive tomography for quantum information science, Int. J. of Quantum Info. 19, n.8 2140003, 2021.
• Aaron Z. Goldberg, Jose L. Romero, Angel S. Sanz, Luis L. Sánchez-Soto. Taming singularities of the quantum Fisher information, Int. J. of Quantum Info. 19, n.8 2140004, 2021.
• Giacomo Sorelli, Manuel Gessner, Mattia Walschaers, Nicolas Treps. Moment-based superresolution: formalism and applications, Phys. Rev. A 104, 033515, 2021.
• Giacomo Sorelli, Manuel Gessner, Mattia Walschaers, Nicolas Treps. Optimal observables and estimators for practical superresolution imaging, Phys. Rev. Lett. 127, 123604, 2021.
• Yong Siah Teo, Seongwook Shin, Hyunseok Jeong, Yosep Kim, Yoon-Ho Kim, Gleb I. Struchalin, Egor V. Kovlakov, Stanislav S. Straupe, Luis L. Sánchez-Soto, Sergei P. Kulik, Gerd Leuchs. Benchmarking quantum tomography completeness and fidelity with machine learning, New J. Phys. 23, 103021, 2021.
• Aaron Z. Goldberg, Andrei B. Klimov, Gerd Leuchs, Luis L. Sanchez-Soto. Rotation sensing at the ultimate limit, J. Phys. Photonics 3, 022008, 2021.
• D. Koutný, Z. Hradil, J. Řeháček, L. L. Sánchez-Soto. Axial superlocalization with vortex beams, Quantum Sci. Technol. 6 025021, 2021.
• Libor Motka, Martin Paur, Jaroslav Řeháček, Zdenek Hradil, Luis L. Sánchez-Soto. When quantum state tomography benefits from willful ignorance, New J. Phys. 23 073033, 2021.
• Zdeněk Hradil, Dominik Koutný, Jaroslav Řeháček. Exploring the ultimate limits: super-resolution enhanced by partial coherence, Optics Letters 46 n. 7, 2021.
• Luis L. Sánchez-Soto. Universal compressive tomography in the time-frequency domain, Optica 8 n. 10, 2021.
• Aaron Z. Goldberg, Luis L. Sánchez-Soto, Hugo Ferretti. Intrinsic Sensitivity Limits for Multiparameter Quantum Metrology, Phys. Rev. Lett 127, 110501, 2021.
• Manuel Gessner, Claude Fabre, Nicolas Treps. Superresolution limits from measurement crosstalk, Phys. Rev. Lett. 125, 100501, 2020.

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