Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Quantum Detectors as Autonomous Machines: Assessing the Nonequilibrium Thermodynamics of Information Acquisition

Emanuel Schwarzhans1,2,*, Tony J. G. Apollaro1,†, Ilia Khomchenko1,‡, Maximilian P. E. Lock2,3,§, Mark T. Mitchison4,5,∥, and Marcus Huber2,3,¶

  • 1Department of Physics, University of Malta, Msida MSD 2080, Malta
  • 2Atominstitut, TU Wien, 1020 Vienna, Austria
  • 3Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, 1090 Vienna, Austria
  • 4School of Physics, Trinity College Dublin, College Green, Dublin 2, D02 K8N4, Ireland
  • 5Department of Physics, King’s College London, Strand, London, WC2R 2LS, United Kingdom

  • *Contact author: emanuel.schwarzhans@um.edu.mt
  • †Contact author: tony.apollaro@um.edu.mt
  • ‡Contact author: ilia.khomchenko@um.edu.mt
  • §Contact author: maximilian.paul.lock@tuwien.ac.at
  • ∥Contact author: mark.mitchison@kcl.ac.uk
  • Contact author: marcus.huber@tuwien.ac.at

PRX Quantum 7, 033001 – Published 1 July, 2026

DOI: https://doi.org/10.1103/wm5p-tjtg

Abstract

We formulate a minimal model of a quantum particle detector as an autonomous quantum thermal machine. Our goal is to establish how entropy production, which is needed to maintain the detector out of equilibrium, is linked to the quality of the measurement process. Using our model, we perform a detailed investigation of the detector’s key performance characteristics: namely, detection efficiency, gain, jitter, dead time, and dark counts. We find that entropy production constrains both the efficiency and temporal precision of the detection process, in the sense that improved performance generally requires more dissipation. We also find that reducing either the detection jitter or dead time unavoidably increases the rate of dark counts. Our work establishes a quantitative connection between entropy production and the quality of the irreversible detection process, highlights fundamental tradeoffs in the performance of particle detectors, and provides a framework for further investigations of the non-equilibrium thermodynamics of quantum measurement and amplification.

View figure in article

Physics Subject Headings (PhySH)

Popular Summary

Article Text

References (54)

  1. R. Landauer, Irreversibility and heat generation in the computing process, IBM J. Res. Dev. 5, 183 (1961).
  2. K. Proesmans, J. Ehrich, and J. Bechhoefer, Finite-time Landauer principle, Phys. Rev. Lett. 125, 100602 (2020).
  3. Harry J. D. Miller, Giacomo Guarnieri, Mark T. Mitchison, and John Goold, Quantum fluctuations hinder finite-time information erasure near the Landauer limit, Phys. Rev. Lett. 125, 160602 (2020).
  4. Yi-Zheng Zhen, Dario Egloff, Kavan Modi, and Oscar Dahlsten, Universal bound on energy cost of bit reset in finite time, Phys. Rev. Lett. 127, 190602 (2021).
  5. Tan Van Vu and Keiji Saito, Finite-time quantum Landauer principle and quantum coherence, Phys. Rev. Lett. 128, 010602 (2022).
  6. Philip Taranto, Faraj Bakhshinezhad, Andreas Bluhm, Ralph Silva, Nicolai Friis, Maximilian P. E. Lock, Giuseppe Vitagliano, Felix C. Binder, Tiago Debarba, Emanuel Schwarzhans, Fabien Clivaz, and Marcus Huber, Landauer versus Nernst: What is the true cost of cooling a quantum system?, PRX Quantum 4, 010332 (2023).
  7. Alberto Rolandi and Martí Perarnau-Llobet, Finite-time Landauer principle beyond weak coupling, Quantum 7, 1161 (2023).
  8. Yelena Guryanova, Nicolai Friis, and Marcus Huber, Ideal projective measurements have infinite resource costs, Quantum 4, 222 (2020).
  9. Philippe Faist, Frédéric Dupuis, Jonathan Oppenheim, and Renato Renner, The minimal work cost of information processing, Nat. Commun. 6, 7669 (2015).
  10. Yaoming Chu and Jianming Cai, Thermodynamic principle for quantum metrology, Phys. Rev. Lett. 128, 200501 (2022).
  11. Takahiro Sagawa and Masahito Ueda, Minimal energy cost for thermodynamic information processing: Measurement and information erasure, Phys. Rev. Lett. 102, 250602 (2009).
  12. Léo Granger and Holger Kantz, Thermodynamic cost of measurements, Phys. Rev. E 84, 061110 (2011).
  13. Kurt Jacobs, Quantum measurement and the first law of thermodynamics: The energy cost of measurement is the work value of the acquired information, Phys. Rev. E 86, 040106 (2012).
  14. Camille L. Latune and Cyril Elouard, A thermodynamically consistent approach to the energy costs of quantum measurements, Quantum 9, 1614 (2025).
  15. Armen E. Allahverdyan, Roger Balian, and Theo M. Nieuwenhuizen, Quantum measurement as a driven phase transition: An exactly solvable model, Phys. Rev. A 64, 032108 (2001) publisher: American Physical Society.
  16. A. E. Allahverdyan, R. Balian, and Th. M. Nieuwenhuizen, Curie–Weiss model of the quantum measurement process, Europhys. Lett. 61, 452 (2003).
  17. Emanuel Schwarzhans, Felix C. Binder, Marcus Huber, and Maximilian P. E. Lock, Quantum measurements and equilibration: The emergence of objective outcomes via entropy maximization, Phys. Rev. Res. 7, 043279 (2025).
  18. Sophie Engineer, Tom Rivlin, Sabine Wollmann, Mehul Malik, and Maximilian P. E. Lock, Equilibration of objective observables in a dynamical model of quantum measurements, Phys. Rev. A 113, 032205 (2026).
  19. Wojciech H. Zurek, Quantum Darwinism, classical reality, and the randomness of quantum jumps, Phys. Today 67, 44 (2014).
  20. R. Horodecki, J. K. Korbicz, and P. Horodecki, Quantum origins of objectivity, Phys. Rev. A 91, 032122 (2015).
  21. Florian Vigneau, Federico Fedele, Anasua Chatterjee, David Reilly, Ferdinand Kuemmeth, M. Fernando Gonzalez-Zalba, Edward Laird, and Natalia Ares, Probing quantum devices with radio-frequency reflectometry, Appl. Phys. Rev. 10, 021305 (2023).
  22. Alexandre Blais, Arne L. Grimsmo, S. M. Girvin, and Andreas Wallraff, Circuit quantum electrodynamics, Rev. Mod. Phys. 93, 025005 (2021).
  23. Yang Shi, Xiang Li, Guanyu Chen, Mingjie Zou, Hongjun Cai, Yu Yu, and Xinliang Zhang, Avalanche photodiode with ultrahigh gain–bandwidth product of 1,033 GHz, Nat. Photon. 18, 610 (2024).
  24. A. A. Clerk, S. M. Girvin, and A. D. Stone, Quantum-limited measurement and information in mesoscopic detectors, Phys. Rev. B 67, 165324 (2003).
  25. A. A. Clerk, M. H. Devoret, S. M. Girvin, Florian Marquardt, and R. J. Schoelkopf, Introduction to quantum noise, measurement, and amplification, Rev. Mod. Phys. 82, 1155 (2010).
  26. Paul Erker, Mark T. Mitchison, Ralph Silva, Mischa P. Woods, Nicolas Brunner, and Marcus Huber, Autonomous quantum clocks: Does thermodynamics limit our ability to measure time?, Phys. Rev. X 7, 031022 (2017).
  27. Emanuel Schwarzhans, Maximilian P. E. Lock, Paul Erker, Nicolai Friis, and Marcus Huber, Autonomous temporal probability concentration: Clockworks and the second law of thermodynamics, Phys. Rev. X 11, 011046 (2021).
  28. Noah Linden, Sandu Popescu, and Paul Skrzypczyk, How small can thermal machines be? The smallest possible refrigerator, Phys. Rev. Lett. 105, 130401 (2010).
  29. Amikam Levy and Ronnie Kosloff, Quantum absorption refrigerator, Phys. Rev. Lett. 108, 070604 (2012).
  30. Howard M. Wiseman and Gerard J. Milburn, Quantum Measurement and Control, 1st ed. (Cambridge University Press, Cambridge, UK, 2009), 10.1017/CBO9780511813948.
  31. John von Neumann, Mathematische Grundlagen der Quantenmechanik (Springer Berlin Heidelberg, Berlin, Heidelberg, 1932).
  32. Robert H. Hadfield, Single-photon detectors for optical quantum information applications, Nat. Photonics 3, 696 (2009).
  33. Mark T. Mitchison, Quantum thermal absorption machines: Refrigerators, engines and clocks, Contemp. Phys. 60, 164 (2019).
  34. Nicolas Brunner, Noah Linden, Sandu Popescu, and Paul Skrzypczyk, Virtual qubits, virtual temperatures, and the foundations of thermodynamics, Phys. Rev. E 85, 1 (2012).
  35. Masanao Ozawa, Conservation laws, uncertainty relations, and quantum limits of measurements, Phys. Rev. Lett. 88, 050402 (2002).
  36. Patrick P. Potts, Alex Arash Sand Kalaee, and Andreas Wacker, A thermodynamically consistent Markovian master equation beyond the secular approximation, New J. Phys. 23, 123013 (2021).
  37. Luis A. Correa, José P. Palao, and Daniel Alonso, Internal dissipation and heat leaks in quantum thermodynamic cycles, Phys. Rev. E 92, 032136 (2015).
  38. Gabriel T. Landi, Michael J. Kewming, Mark T. Mitchison, and Patrick P. Potts, Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics, PRX Quantum 5, 020201 (2024).
  39. Andre C. Barato and Udo Seifert, Thermodynamic uncertainty relation for biomolecular processes, Phys. Rev. Lett. 114, 158101 (2015).
  40. Todd R. Gingrich, Jordan M. Horowitz, Nikolay Perunov, and Jeremy L. England, Dissipation bounds all steady-state current fluctuations, Phys. Rev. Lett. 116, 120601 (2016).
  41. Yoshihiko Hasegawa, Quantum thermodynamic uncertainty relation for continuous measurement, Phys. Rev. Lett. 125, 050601 (2020).
  42. Jordan M. Horowitz and Todd R. Gingrich, Thermodynamic uncertainty relations constrain non-equilibrium fluctuations, Nat. Phys. 16, 15 (2020).
  43. Emanuel Schwarzhans, Quantum detectors as autonomous machines—assessing the thermodynamics of information acquisition—code, https://github.com/Emanuel-Schwarzhans/Quantum-detectors-as-autonomous-machines-assessing-the-thermodynamics-of-information-acquisit-co.
  44. Lorenzo Magrini, Philipp Rosenzweig, Constanze Bach, Andreas Deutschmann-Olek, Sebastian G. Hofer, Sungkun Hong, Nikolai Kiesel, Andreas Kugi, and Markus Aspelmeyer, Real-time optimal quantum control of mechanical motion at room temperature, Nature (London) 595, 373 (2021).
  45. Udo Seifert, Stochastic thermodynamics, fluctuation theorems and molecular machines, Rep. Progress Phys. 75, 126001 (2012).
  46. Tiago Debarba, Gonzalo Manzano, Yelena Guryanova, Marcus Huber, and Nicolai Friis, Work estimation and work fluctuations in the presence of non-ideal measurements, New J. Phys. 21, 113002 (2019).
  47. Cyril Elouard, David Herrera-Martí, Benjamin Huard, and Alexia Auffèves, Extracting work from quantum measurement in Maxwell demon engines, Phys. Rev. Lett. 118, 260603 (2017).
  48. Cyril Elouard, David A. Herrera-Martí, Maxime Clusel, and Alexia Auffèves, The role of quantum measurement in stochastic thermodynamics, npj Quantum Inf. 3, 9 (2017).
  49. Lorenzo Buffoni, Andrea Solfanelli, Paola Verrucchi, Alessandro Cuccoli, and Michele Campisi, Quantum measurement cooling, Phys. Rev. Lett. 122, 070603 (2019).
  50. Florian Meier, Yuri Minoguchi, Simon Sundelin, Tony J. G. Apollaro, Paul Erker, Simone Gasparinetti, and Marcus Huber, Precision is not limited by the second law of thermodynamics, Nat. Phys. 21, 1147 (2025).
  51. G. C. Ghirardi, A. Rimini, and T. Weber, Unified dynamics for microscopic and macroscopic systems, Phys. Rev. D 34, 470 (1986).
  52. Jonathan Oppenheim, A postquantum theory of classical gravity?, Phys. Rev. X 13, 041040 (2023).
  53. Adán Cabello, Mile Gu, Otfried Gühne, Jan-Åke Larsson, and Karoline Wiesner, Thermodynamical cost of some interpretations of quantum theory, Phys. Rev. A 94, 052127 (2016).
  54. Peter O’Donovan, Philipp Strasberg, Kavan Modi, John Goold, and Mark T. Mitchison, Quantum master equation from the eigenstate thermalization hypothesis, Phys. Rev. B 112, 014312 (2025).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation