Jarzynski-like Equality of Nonequilibrium Information Production Based on Quantum Cross Entropy

• URL: http://arxiv.org/abs/2209.01761v2
• Date: Tue, 20 Dec 2022 03:19:58 GMT
• Title: Jarzynski-like Equality of Nonequilibrium Information Production Based on Quantum Cross Entropy
• Authors: Akira Sone and Naoki Yamamoto and Tharon Holdsworth and Prineha Narang
• Abstract summary: We employ the one-time measurement scheme to derive a Jarzynski-like equality of nonequilibrium information production. The derived equality further enables one to explore the roles of the quantum cross entropy in quantum communications, quantum machine learning and quantum thermodynamics.
• Score: 0.8367938108534343
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The two-time measurement scheme is well studied in the context of quantum fluctuation theorem. However, it becomes infeasible when the random variable determined by a single measurement trajectory is associated with the von-Neumann entropy of the quantum states. We employ the one-time measurement scheme to derive a Jarzynski-like equality of nonequilibrium information production by proposing an information production distribution based on the quantum cross entropy. The derived equality further enables one to explore the roles of the quantum cross entropy in quantum communications, quantum machine learning and quantum thermodynamics.

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