A complete set of multidimensional Bell inequalities

Details A complete set of multidimensional Bell inequalities A complete set of multidimensional Bell inequalities

2011-07-12

arxiv.org/abs/1107.2255v2

Physics

Quantum Physics

14 pages, 1 figure. Plain TeX file This version 2 adds Section 7 about violations. Section 8 (the case d=3) and bibliography h

Scientific paper

We give a multidimensional generalisation of the complete set of Bell-correlation inequalities given by Werner and Wolf, and by Zukowski and Brukner, for the two-dimensional case. Our construction applies for the n parties, two-observables case, where each observable is d-valued. The d^{d^n} inequalities obtained involve homogeneous polynomials. They define the facets of a polytope in a complex vector space of dimension d^n. We also show that these inequalities are violated by Quantum Mechanics. We exhibit examples in the three-dimensional case.

Affiliated with

Also associated with

No associations

Rating

A complete set of multidimensional Bell inequalities 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 A complete set of multidimensional Bell inequalities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A complete set of multidimensional Bell inequalities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-565372