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.

中文翻译：

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量子交叉熵和最大似然原理

量子机器学习是机器学习与量子计算相交的新兴领域。经典的交叉熵在机器学习中起着核心作用。我们定义了它的量子泛化，量子交叉熵，并研究了它与量子保真度和最大似然原理的关系。我们还将讨论其对量子测量的物理影响。