Born Rule and Noncontextual Probability

Fabrizio Logiurato, Augusto Smerzi

QSTAR, INO-CNR and LENS, Largo Enrico Fermi, Firenze, Italy.

DOI: 10.4236/jmp.2012.311225                

Abstract

We present a new derivation of the Born rule from the assumption of noncontextual probability (NCP). Within the theorem we also demonstrate the continuity of probability with respect to the amplitudes, which has been suggested to be a gap in Zurek’s and Deutsch’s approaches, and we show that NCP is implicitly postulated also in their derivations. Finally, physical motivations of NCP are given based on an invariance principle with respect to a resolution change of measurements and with respect to the principle of no-faster-than-light signalling.

Keywords

Born Rule; Non Contextual Probability

Conflicts of Interest

The authors declare no conflicts of interest.

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