Optimal Work Extraction and Thermodynamics of Quantum Measurements and Correlations.

We analyze the role of indirect quantum measurements in work extraction from quantum systems in nonequilibrium states. In particular, we focus on the work that can be obtained by exploiting the correlations shared between the system of interest and an additional ancilla, where measurement backaction introduces a nontrivial thermodynamic tradeoff. We present optimal state-dependent protocols for extracting work from both classical and quantum correlations, the latter being measured by discord. Our quantitative analysis establishes that, while the work content of classical correlations can be fully extracted by performing local operations on the system of interest, accessing work related to quantum discord requires a specific driving protocol that includes interaction between system and ancilla.

[1]  A. J. Short,et al.  Work extraction and thermodynamics for individual quantum systems , 2013, Nature Communications.

[2]  Masahito Ueda,et al.  Second law of thermodynamics with discrete quantum feedback control. , 2007, Physical review letters.

[3]  T. Sagawa,et al.  Thermodynamics of information , 2015, Nature Physics.

[4]  J. Anders,et al.  Quantum thermodynamics , 2015, 1508.06099.

[5]  Masahito Ueda,et al.  Thermodynamic Work Gain from Entanglement , 2012, 1207.6872.

[6]  Thierry Paul,et al.  Quantum computation and quantum information , 2007, Mathematical Structures in Computer Science.

[7]  J. Oppenheim,et al.  Thermodynamical approach to quantifying quantum correlations. , 2001, Physical review letters.

[8]  Alexia Auffèves,et al.  Extracting work from quantum measurement in Maxwell demon engines , 2017 .

[9]  K. Funo,et al.  Information-to-work conversion by Maxwell’s demon in a superconducting circuit quantum electrodynamical system , 2017, Nature Communications.

[10]  Dmitri Petrov,et al.  Universal features in the energetics of symmetry breaking , 2013, Nature Physics.

[11]  M. Sano,et al.  Experimental demonstration of information-to-energy conversion and validation of the generalized Jarzynski equality , 2010 .

[12]  J. Anders,et al.  Thermodynamics of discrete quantum processes , 2012, 1211.0183.

[13]  R. Uzdin.  Additional energy-information relations in thermodynamics of small systems. , 2016, Physical review. E.

[14]  Herbert Walther,et al.  Extracting Work from a Single Heat Bath via Vanishing Quantum Coherence , 2003, Science.

[15]  Antonio Acín,et al.  Entanglement generation is not necessary for optimal work extraction. , 2013, Physical review letters.

[16]  W. Zurek,et al.  Quantum discord: a measure of the quantumness of correlations. , 2001, Physical review letters.

[17]  David Jennings,et al.  The extraction of work from quantum coherence , 2015, 1506.07875.

[18]  Pierre Rouchon,et al.  Observing a quantum Maxwell demon at work , 2017, Proceedings of the National Academy of Sciences.

[19]  Jan Klaers,et al.  Squeezed Thermal Reservoirs as a Resource for a Nanomechanical Engine beyond the Carnot Limit , 2017, 1703.10024.

[20]  Mauro Paternostro,et al.  Daemonic ergotropy: enhanced work extraction from quantum correlations , 2016, npj Quantum Information.

[21]  A. E. Allahverdyan,et al.  Maximal work extraction from finite quantum systems , 2004 .

[22]  R. Uzdin.  Coherence-Induced Reversibility and Collective Operation of Quantum Heat Machines via Coherence Recycling , 2016 .

[23]  Wojciech Hubert Zurek.  Quantum discord and Maxwell's demons , 2003 .

[24]  Mark Fannes,et al.  Entanglement boost for extractable work from ensembles of quantum batteries. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Y. Ashida,et al.  Fluctuation theorems in feedback-controlled open quantum systems: Quantum coherence and absolute irreversibility , 2017, 1705.06513.

[26]  Paul Skrzypczyk,et al.  Entanglement enhances cooling in microscopic quantum refrigerators. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  October I.  Physical Review Letters , 2022 .

[28]  T. Sagawa.  Second Law-Like Inequalities with Quantum Relative Entropy: An Introduction , 2012, 1202.0983.

[29]  J. Koski,et al.  Experimental realization of a Szilard engine with a single electron , 2014, Proceedings of the National Academy of Sciences.

[30]  T. Rudolph,et al.  Quantum coherence, time-translation symmetry and thermodynamics , 2014, 1410.4572.

[31]  Paul Skrzypczyk,et al.  Extracting work from correlations , 2014, 1407.7765.

[32]  Takahiro Sagawa,et al.  Experimental demonstration of information-to-energy conversion and validation of the generalized Jarzynski equality , 2010, 1009.5287.

[33]  U. Seifert,et al.  Coherence-enhanced efficiency of feedback-driven quantum engines , 2015, 1503.04865.

[34]  J. Rossnagel,et al.  Nanoscale heat engine beyond the Carnot limit. , 2013, Physical review letters.

[35]  Masahito Ueda,et al.  Minimal energy cost for thermodynamic information processing: measurement and information erasure. , 2008, Physical review letters.

[36]  R. Uzdin.  Collective operation of quantum heat machines via coherence recycling, and coherence induced reversibility , 2015, 1509.06289.

[37]  G. D. Chiara,et al.  A self-contained quantum harmonic engine , 2017, 1708.07435.

[38]  Microscopic work distribution of small systems in quantum isothermal processes and the minimal work principle. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[39]  Massimiliano Esposito,et al.  Second law and Landauer principle far from equilibrium , 2011, 1104.5165.

[40]  Michele Campisi,et al.  High-Power Collective Charging of a Solid-State Quantum Battery. , 2017, Physical review letters.

[41]  Gerardo Adesso,et al.  Quantum-enhanced absorption refrigerators , 2013, Scientific Reports.

[42]  John P. S. Peterson,et al.  Reversing the thermodynamic arrow of time using quantum correlations , 2017, 1711.03323.

[43]  Alexia Auffeves,et al.  Extracting Work from Quantum Measurement in Maxwell's Demon Engines. , 2017, Physical review letters.

[44]  Takahiro Sagawa,et al.  Heat engine driven by purely quantum information. , 2013, Physical review letters.

[45]  Kurt Jacobs,et al.  Quantum measurement and the first law of thermodynamics: the energy cost of measurement is the work value of the acquired information. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[46]  V. Vedral.  The role of relative entropy in quantum information theory , 2001, quant-ph/0102094.

[47]  G. Fitzgerald,et al.  'I. , 2019, Australian journal of primary health.

[48]  Gian Luca Giorgi,et al.  Correlation approach to work extraction from finite quantum systems , 2014, 1404.7785.

[49]  V. Vedral,et al.  Classical, quantum and total correlations , 2001, quant-ph/0105028.

[50]  Li Nan,et al.  Classical and quantum correlative capacities of quantum systems , 2011 .

[51]  J. Goold,et al.  The role of coherence in the non-equilibrium thermodynamics of quantum systems , 2018 .

[52]  Maciej Lewenstein,et al.  Generalized laws of thermodynamics in the presence of correlations , 2016, Nature Communications.

[53]  Aharon Brodutch,et al.  Quantum discord, local operations, and Maxwell's demons , 2010 .

[54]  A. Sen De,et al.  Quantum discord and its allies: a review of recent progress , 2017, Reports on progress in physics. Physical Society.

[55]  J. Parrondo,et al.  Entropy production and thermodynamic power of the squeezed thermal reservoir. , 2015, Physical review. E.

[56]  Roberta Zambrini,et al.  Maximally discordant mixed states of two qubits , 2010, 1007.2174.

[57]  Eric Lutz,et al.  Energetics of quantum correlations , 2008, 0803.4067.

[58]  J. Koski,et al.  Experimental observation of the role of mutual information in the nonequilibrium dynamics of a Maxwell demon. , 2014, Physical review letters.

[59]  Paul Skrzypczyk,et al.  The role of quantum information in thermodynamics—a topical review , 2015, 1505.07835.

[60]  K. Southwell.  Quantum coherence , 2008, Nature.