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Conditions for compatibility of quantum state assignments | | Carlton M. Caves
; Christopher A. Fuchs
; Ruediger Schack
; | | Date: |
18 Jun 2002 | | Journal: | Phys. Rev. A 66, 062111 (2002) | | Subject: | quant-ph | | Affiliation: | University of New Mexico, Bell Labs, Lucent Technologies, Royal Holloway, University of London | | Abstract: | 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. | | Source: | arXiv, quant-ph/0206110 | | Services: | Forum | Review | PDF | Favorites | |
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