Conditions for compatibility of quantum state assignments

Details Conditions for compatibility of quantum state assignments Conditions for compatibility of quantum state assignments

2002-06-18

arxiv.org/abs/quant-ph/0206110v1

Phys. Rev. A 66, 062111 (2002)

Physics

Quantum Physics

REVTEX 4, 19 pages, 1 postscript figure

Scientific paper

10.1103/PhysRevA.66.062111

Suppose N parties describe the state of a quantum system by N possibly different density operators. These N state assignments represent the beliefs of the parties about the system. We examine conditions for determining whether the N state assignments are compatible. We distinguish two kinds of procedures for assessing compatibility, the first based on the compatibility of the prior beliefs on which the N state assignments are based and the second based on the compatibility of predictive measurement probabilities they define. The first procedure leads to a compatibility criterion proposed by Brun, Finkelstein, and Mermin [BFM, Phys. Rev. A 65, 032315 (2002)]. The second procedure leads to a hierarchy of measurement-based compatibility criteria which is fundamentally different from the corresponding classical situation. Quantum mechanically none of the measurement-based compatibility criteria is equivalent to the BFM criterion.

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