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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 di erent from those obtained via the quantum Bayes rule. Typeset... (Update)
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BibTeX entry: (Update)
R. Schack, T. A. Brun, and C. M. Caves, "Quantum Bayes Rule," Phys. Rev. A 64, 0143051 --014305-4 (2001). http://citeseer.ist.psu.edu/schack00quantum.html More
@misc{ schack01quantum,
author = "R. Schack and T. Brun and C. Caves",
title = "Quantum Bayes Rule",
text = "R. Schack, T. A. Brun, and C. M. Caves, Quantum Bayes Rule, Phys. Rev.
A 64, 0143051 --014305-4 (2001).",
year = "2001",
url = "citeseer.ist.psu.edu/schack00quantum.html" }
Citations (may not include all citations):340 Bayesian Theory (context) - Bernardo, Smith - 1994
37 Theory of Probability (context) - de Finetti - 1990
34 Quantum Detection and Estimation Theory (context) - Helstrom - 1976
31 Probabilistic and Statistical Aspects of Quantum Theory (context) - Holevo - 1982
5 Fundamental Notions of Quantum Theory (context) - Kraus, ects - 1983
2 Wahrscheinlichkeitstheorie verw (context) - Hudson, Moody - 1976
2 Journal of Functional Analysis (context) - St - 1969
1 quant-ph (context) - Paini
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