Work recoverable from two-particle information

It is shown how information contained in the pair-wise correlations between atoms of a gas can be used to convert completely heat taken from a thermostat into mechanical work in a process of relaxation of the system to its thermal equilibrium state. Both classical correlations and quantum correlations (entanglement) are considered. The amount of heat converted into work is proportional to the entropy defect of the initial state of the system. The equivalence relation between information and work is explicitly demonstrated for the case of two-particle correlations. The amount of work obtained per particle is twice as large in the case of entanglement as in the case of classical correlations.

[1]  L. B. Levitin.  Quantum amount of information and maximum work , 1978 .

[2]  Ronnie Kosloff,et al.  Quantum four-stroke heat engine: thermodynamic observables in a model with intrinsic friction. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Rolf Landauer,et al.  Irreversibility and heat generation in the computing process , 1961, IBM J. Res. Dev..

[4]  MAXWELL’S DEMONS,et al.  Quantum Discord and Maxwell's Demons , 2002 .

[5]  L.B. Levitin.  Physical Information Theory Part II: Quantum Systems , 1992, Workshop on Physics and Computation.

[6]  Lev B. Levitin,et al.  Information Theory for Quantum Systems , 1987 .

[7]  Schumacher,et al.  Quantum coding. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[8]  Charles H. Bennett,et al.  The thermodynamics of computation—a review , 1982 .

[9]  L. Ballentine,et al.  Quantum Theory: Concepts and Methods , 1994 .

[10]  Peter W. Shor,et al.  Quantum Information Theory , 1998, IEEE Trans. Inf. Theory.

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

[12]  L. B. Levitin.  Gibbs Paradox And Equivalence Relation Between Quantum Information And Work. , 1992, Workshop on Physics and Computation.

[13]  R. Renner,et al.  Inadequacy of von Neumann entropy for characterizing extractable work , 2011 .

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

[15]  R. Renner,et al.  Inadequacy of von Neumann entropy for characterizing extractable work , 2009, 0908.0424.

[16]  L. Szilard.  über die Entropieverminderung in einem thermodynamischen System bei Eingriffen intelligenter Wesen , 1929 .

[17]  Michal Horodecki,et al.  Thermodynamics of Quantum Information Systems — Hamiltonian Description , 2004, Open Syst. Inf. Dyn..

[18]  M. Scully,et al.  Extracting work from a single thermal bath via quantum negentropy. , 2001, Physical review letters.

[19]  Seth Lloyd,et al.  Quantum-mechanical Maxwell’s demon , 1997 .

[20]  Jonathan Oppenheim,et al.  Are the laws of entanglement theory thermodynamical? , 2002, Physical review letters.