Ken Funo, Yu Watanabe, Masahito Ueda
We derive integral quantum fluctuation theorems and quantum Jarzynski equalities for a feedback-controlled system and a memory which registers the measurement outcomes. The obtained equalities involve the information content, which reflects the information exchange between the system and the memory when the measurement and feedback control are performed. The first cumulants of these equalities reproduce the generalized second law of thermodynamics under measurement and feedback control. These equalities take into account the back action of the general quantum measurement in contrast with the classical case.
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http://arxiv.org/abs/1307.2362
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