Quantum Cross Entropy and Maximum Likelihood Principle

02/23/2021

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by   Zhou Shangnan, et al.

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Quantum machine learning is an emerging field at the intersection of machine learning and quantum computing. Classical cross entropy plays a central role in machine learning. We define its quantum generalization, the quantum cross entropy, and investigate its relations with the quantum fidelity and the maximum likelihood principle. We also discuss its physical implications on quantum measurements.