Thermodynamic Reverse Bounds for General Open Quantum Processes

Abstract

Various quantum thermodynamic bounds are shown to stem from a single tighter and more general inequality, consequence of the operator concavity of the logarithmic function. Such an inequality, which we call the "thermodynamic reverse bound", is compactly expressed as a quantum relative entropy, from which it inherits mathematical properties and meaning. As concrete examples, we apply our bound to evaluate the thermodynamic length for open processes, the heat exchange in erasure processes, and the maximal energy outflow in general quantum evolutions.

v2: added six colorful plots for the heat exchanged in erasure processes, accepted in PRA; v1: 6 pages, two-column

References in corpus (2)

• Generalized Clausius inequality for nonequilibrium quantum processes
• Clean Positive Operator Valued Measures

Cited by in corpus (8)

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• Universal Bound on Energy Cost of Bit Reset in Finite Time
• Bounds in Nonequilibrium Quantum Dynamics
• State retrieval beyond Bayes' retrodiction
• Thermodynamic Constraints on Quantum Information Gain and Error Correction: A Triple Trade-Off
• Universal validity of the second law of information thermodynamics
• On the generic increase of observational entropy in isolated systems
• Lower Bound on Irreversibility in Thermal Relaxation of Open Quantum Systems