Quantum Jarzynski-Sagawa-Ueda relations

Details Quantum Jarzynski-Sagawa-Ueda relations Quantum Jarzynski-Sagawa-Ueda relations

2010-12-13

arxiv.org/abs/1012.2753v3

Physics

Condensed Matter

Statistical Mechanics

11 pages. a major revision in v.2. Minor revision in v.3. The present version will appear in J. Stat. Phys

Scientific paper

We consider a (small) quantum mechanical system which is operated by an external agent, who changes the Hamiltonian of the system according to a fixed scenario. In particular we assume that the agent (who may be called a demon) performs measurement followed by feedback, i.e., it makes a measurement of the system and changes the protocol according to the outcome. We extend to this setting the generalized Jarzynski relations, recently derived by Sagawa and Ueda for classical systems with feedback. One of the two relations by Sagawa and Ueda is derived here in error-free quantum processes, while the other is derived only when the measurement process involves classical errors. The first relation leads to a second law which takes into account the efficiency of the feedback.

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