Authors: Raymond Jensen
Abstract. A well-known experiment from 1986 involving entangled pairs is examined. The data, which until now have not been modeled quantitatively, is shown not to be in agreement with the quantum measurement postulate using von Neumann projectors. On the other hand, the data agree with the postulate using a more general positive operator valued measure (POVM). The peculiarity of the POVM proposed here is that it is only conditionally a POVM; i.e. it is not complete (trace-preserving) on the entire Hilbert space but only on a subset, although the POVM elements are positive semidefinite observables on the entire space. The state vector of the aforementioned experiment is in the subset where completeness holds. An extension of the conditional POVM is then applied to a proposed experiment involving three- particle Greenberger-Horne-Zeilinger (GHZ) entangled states. As with the Aspect experiment, completeness holds for the conditional POVM upon application to the GHZ state. Violation of the Bell inequality in the GHZ experiment does not occur upon application of von-Neumann projectors; however the conditional POVM allows for Bell inequality violation.
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[v1] 2013-06-19 14:27:32
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