Jarzynski-like Equality of Nonequilibrium Information Production Based on Quantum Cross Entropy
arXiv:2209.01761 · doi:10.1103/PhysRevResearch.5.023039
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.
v2: We removed the results of two-time measurement scheme, and added the relations of our main result of the one-time measurement scheme to the cost function of quantum autoencoder and maximum available work theorem
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- Detailed fluctuation theorem from the one-time measurement scheme
- Quantum Inception Score
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