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Journal of Russian Laser Research

Einstein-Podolsky-Rosen paradox, Bell's inequality, and the projection postulate

Andrei Yu. Khrennikov

Published Mar 1, 2008• 5 citations
Publisher
DOI
10.1007/s10946-008-9003-8

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This paper is devoted to analysis of the role of projection postulate in Einstein, Podolsky, and Rosen-EPR [1] argument against completeness of QM. It will be shown that the EPR considerations do not match with von Neumann’s quantum measurement theory (QMT). The root of EPR’s conclusion on incompleteness of QM is the misuse of von Neumann’s projection postulate. EPR applied this postulate to observables with degenerate spectra (which is totally forbidden by von Neumann’s axiomatics of QM). Consequences for Bell’s inequality and quantum information theory are analyzed. This paper might stimulate discussion on the role of projection postulate in quantum information theory, especially quantum cryptography and teleportation.