Scientific Results

Born Rule and Noncontextual Probability

Year: 2012

Authors: Logiurato F., Smerzi A.

Autors Affiliation: INO-CNR BEC Center and Physics Department, Trento University, Povo, Italy;
QSTAR, INO-CNR and LENS, Largo Enrico Fermi, Firenze, Italy

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.

Journal/Review:

Volume: 3      Pages from: 1802  to: 1812

KeyWords: born rule; quantum mechanics;
DOI: 10.4236/jmp.2012.311225

English