Quantum Bayes rule

@article{Schack2001QuantumBR,
  title={Quantum Bayes rule},
  author={R. Schack and Todd A. Brun and Carlton M. Caves},
  journal={Physical Review A},
  year={2001},
  volume={64},
  pages={014305}
}
We state a quantum version of Bayes’s rule for statistical inference and give a simple general derivation within the framework of generalized measurements. The rule can be applied to measurements on N copies of a system if the initial state of the N copies is exchangeable. As an illustration, we apply the rule to N qubits. Finally, we show that quantum state estimates derived via the principle of maximum entropy are fundamentally different from those obtained via the quantum Bayes rule. 
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