Jarzynski-like Equality of Nonequilibrium Information Production Based on Quantum Cross Entropy
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 sc...
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| creator | Sone, Akira Yamamoto, Naoki Holdsworth, Tharon Narang, Prineha |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2209.01761 |
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| subjects | Entropy Lower bounds Physics - Quantum Physics Physics - Statistical Mechanics Quantum mechanics Theorems Time measurement Upper bounds |
| title | Jarzynski-like Equality of Nonequilibrium Information Production Based on Quantum Cross Entropy |
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