Integral Quantum Fluctuation Theorems under Measurement and Feedback control

TL;DR

This paper derives quantum fluctuation theorems and Jarzynski equalities for systems under measurement and feedback, incorporating information exchange and measurement back action, extending classical thermodynamics principles into the quantum regime.

Contribution

It introduces integral quantum fluctuation theorems that include measurement back action and information exchange, advancing the understanding of thermodynamics in quantum feedback systems.

Findings

Derived quantum fluctuation theorems with measurement back action

Established quantum Jarzynski equalities involving information content

Reproduced generalized second law under quantum measurement and feedback

Abstract

We derive integral quantum fluctuation theorems and quantum Jarzynski equalities for a feedback-controlled system and a memory which registers outcomes of the measurement. The obtained equalities involve the information content, which reflects the information exchange between the system and the memory, and take into account the back action of a general measurement contrary to the classical case. The generalized second law of thermodynamics under measurement and feedback control are reproduced from these equalities.