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Limited preparation contextuality in quantum theory leads to Cirel'son bound | | Manik Banik
; Some Sankar Bhattacharya
; Amit Mukherjee
; Arup Roy
; Andris Ambainis
; Ashutosh Rai
; | | Date: |
17 Jun 2015 | | Abstract: | Kochen-Specker (KS) theorem lies at the heart of the foundations of quantum
mechanics. It establishes impossibility of explaining predictions of quantum
theory by any noncontextual ontological model. The notion of KS contextuality
has been generalized for arbitrary experimental procedures (preparation,
measurement, and transformation procedure). Interestingly, it has been shown
that preparation contextuality powers parity-oblivious multiplexing, a two
party information theoretic game. Thus, using resources of a given operational
theory, the maximum success probability achievable in such a game suffices as a
emph{bona-fide} measure of preparation contextuality for the underlying
theory. In this work we show that preparation contextuality in quantum theory
is more restricted compared to a general operational theory known as emph{box
world}. Moreover, we find that this limitation of quantum theory implies the
quantitative bound on quantum nonlocality as depicted by the Cirel’son bound. | | Source: | arXiv, 1506.5174 | | Services: | Forum | Review | PDF | Favorites | |
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