Tsirelson bounds for generalized Clauser-Horne-Shimony-Holt inequalities

Details Tsirelson bounds for generalized Clauser-Horne-Shimony-Holt inequalities Tsirelson bounds for generalized Clauser-Horne-Shimony-Holt inequalities

2005-10-11

arxiv.org/abs/quant-ph/0510076v2

Phys. Rev. A, 73, 022110 (2006)

Physics

Quantum Physics

9 pages, LateX, V2: Updated reference [3]. To appear in Physical Review A

Scientific paper

10.1103/PhysRevA.73.022110

Quantum theory imposes a strict limit on the strength of non-local correlations. It only allows for a violation of the CHSH inequality up to the value 2 sqrt(2), known as Tsirelson's bound. In this note, we consider generalized CHSH inequalities based on many measurement settings with two possible measurement outcomes each. We demonstrate how to prove Tsirelson bounds for any such generalized CHSH inequality using semidefinite programming. As an example, we show that for any shared entangled state and observables X_1,...,X_n and Y_1,...,Y_n with eigenvalues +/- 1 we have | + + + + ... + - | <= 2 n cos(pi/(2n)). It is well known that there exist observables such that equality can be achieved. However, we show that these are indeed optimal. Our approach can easily be generalized to other inequalities for such observables.

Affiliated with

Also associated with

No associations

Rating

Tsirelson bounds for generalized Clauser-Horne-Shimony-Holt 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 Tsirelson bounds for generalized Clauser-Horne-Shimony-Holt inequalities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tsirelson bounds for generalized Clauser-Horne-Shimony-Holt inequalities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-48963