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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
Original
1902
Earlier work this paper cites.
Fabien Clivaz, Ralph Silva, Géraldine Haack, Jonatan Bohr Brask, Nicolas Brunner, and Marcus Huber, Unifying Paradigms of Quantum Refrigeration: A Universal and Attainable Bound on Cooling, Phys. Rev. Lett. 123
Original
1903
Earlier work this paper cites.
Faraj Bakhshinezhad, Fabien Clivaz, Giuseppe Vitagliano, Paul Erker, Ali T. Rezakhani, Marcus Huber, and Nicolai Friis, Thermodynamically optimal creation of correlations, J. Phys. A: Math. Theor. 52
Original
1904
Earlier work this paper cites.
Alhun Aydin, Altug Sisman, and Ronnie Kosloff, Landauer’s Principle in a Quantum Szilard Engine Without Maxwell’s Demon, (2019), arXiv:1908.04400
Original
1908
Earlier work this paper cites.
Gavin E. Crooks, The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences, Phys. Rev. E 60
1999
Earlier work this paper cites.
Hal Tasaki, Jarzynski Relations for Quantum Systems and Some Applications, (2000), arXiv:cond-mat/0009244
2000
Earlier work this paper cites.
Leonard J. Schulman, Tal Mor, and Yossi Weinstein, Physical Limits of Heat-Bath Algorithmic Cooling, Phys. Rev. Lett. 94
2005
Earlier work this paper cites.
Peter Talkner, Eric Lutz, and Peter Hänggi, Fluctuation theorems: Work is not an observable, Phys. Rev. E 75
2007
Earlier work this paper cites.
Wojciech Hubert Zurek, Quantum Darwinism, Nat. Phys. 5
Original
2009
Earlier work this paper cites.
Takahiro Sagawa and Masahito Ueda, Minimal Energy Cost for Thermodynamic Information Processing: Measurement and Information Erasure, Phys. Rev. Lett. 102
Original
2009
Earlier work this paper cites.
Massimiliano Esposito and Christian Van den Broeck, Second law and landauer principle far from equilibrium, Europhys. Lett. 95
Original
2011
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Armen E. Allahverdyan, Karen V. Hovhannisyan, Dominik Janzing, and Guenter Mahler, Thermodynamic limits of dynamic cooling, Phys. Rev. E 84
Original
2011
Earlier work this paper cites.
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
Original
2012
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2018

Ideal Projective Measurements Have Infinite Resource Costs

Guryanova, Yelena, Friis, Nicolai, Huber, Marcus

Understand

We show that it is impossible to perform ideal projective measurements on quantum systems using finite resources.

We identify three fundamental features of ideal projective measurements and show that when limited by finite resources only one of these features can be salvaged.
Our framework is general enough to accommodate any system and measuring device (pointer) models, but for illustration we use an explicit model of an $N$-particle pointer.
For a pointer that perfectly reproduces the statistics of the system, we provide tight analytic expressions for the energy cost of performing the measurement.