Complementary contributions of indeterminism and signalling to quantum correlations

Details Complementary contributions of indeterminism and signalling to quantum correlations Complementary contributions of indeterminism and signalling to quantum correlations

2010-06-18

arxiv.org/abs/1006.3680v4

Phys. Rev. A 82, 062117 (2010) (5pp)

Physics

Quantum Physics

5.1 pages, restructured with expanded information-theoretic discussion and links to communication models, several refs added,

Scientific paper

10.1103/PhysRevA.82.062117

Simple quantitative measures of indeterminism and signalling, $I$ and $S$, are defined for models of statistical correlations. It is shown that any such model satisfies a generalised Bell-type inequality, with tight upper bound B(I,S). This upper bound explicitly quantifies the complementary contributions required from indeterminism and signalling, for modelling any given violation of the standard Bell-CHSH inequality. For example, all models of the maximum quantum violation must either assign no more than 80% probability of occurrence to some underlying event, and/or allow a nonlocal change of at least 60% in an underlying marginal probability of one observer in response to a change in measurement setting by a distant observer. The results yield a corresponding complementarity relation between the numbers of local random bits and nonlocal signalling bits required to model a given violation. A stronger relation is conjectured for simulations of singlet states. Signalling appears to be a useful resource only if a `gap' condition is satisfied, corresponding to being able to nonlocally flip some underlying marginal probability $p$ to its complementary value 1-p.

Affiliated with

Also associated with

No associations

Rating

Complementary contributions of indeterminism and signalling to quantum correlations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Complementary contributions of indeterminism and signalling to quantum correlations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complementary contributions of indeterminism and signalling to quantum correlations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-260560