English

Quantum Bayes rule

Quantum Physics 2009-11-06 v1

Abstract

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.

Keywords

Cite

@article{arxiv.quant-ph/0008113,
  title  = {Quantum Bayes rule},
  author = {Ruediger Schack and Todd A. Brun and Carlton M. Caves},
  journal= {arXiv preprint arXiv:quant-ph/0008113},
  year   = {2009}
}

Comments

REVTEX, 9 pages