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