论文标题
基于量子交叉熵的非平衡信息生产的类似jarzynski的平等
Jarzynski-like Equality of Nonequilibrium Information Production Based on Quantum Cross Entropy
论文作者
论文摘要
在量子波动定理的背景下,对两次测量方案进行了很好的研究。但是,当由单个测量轨迹确定的随机变量与量子状态的von-neumann熵相关时,它变得不可行。我们采用一次性测量方案来得出基于量子交叉熵的信息生产分布,从而得出非平衡信息产生的类似Jarzynski样的平等。派生的平等进一步使人们能够探索量子交叉熵在量子通信,量子机学习和量子热力学中的作用。
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.