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From Time-Reversal Symmetry to Quantum Bayes’ Rules

From Time-Reversal Symmetry to Quantum Bayes’ Rules

Bayes' rule, P(B|A)P(A)=P(A|B)P(B), is one of the simplest yet most profound, ubiquitous, and far-reaching results of classical probability theory, with applications in any field utilizing statistical inference. Many attempts have been made to extend this rule to quantum systems, the significance of which we are only beginning to understand. In …