Quantum Bayes rule

Details Quantum Bayes rule Quantum Bayes rule

2000-08-25

arxiv.org/abs/quant-ph/0008113v1

Phys. Rev. A 64, 014305 (2001)

Physics

Quantum Physics

REVTEX, 9 pages

Scientific paper

10.1103/PhysRevA.64.014305

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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