A tight Tsirelson inequality for infinitely many outcomes

S. Zohren, P.M. Reska, R.D. Gill, W. Westra

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We present a novel tight bound on the quantum violations of the CGLMP inequality in the case of infinitely many outcomes. Like in the case of Tsirelson's inequality the proof of our new inequality does not require any assumptions on the dimension of the Hilbert space or kinds of operators involved. However, it is seen that the maximal violation is obtained by the conjectured best measurements and a pure, but not maximally entangled, state. We give an approximate state which, in the limit where the number of outcomes tends to infinity, goes to the optimal state for this setting. This state might be potentially relevant for experimental verifications of Bell inequalities through multi-dimenisonal entangled photon pairs.
Original languageEnglish
Pages (from-to)10002/1-10002/5
Number of pages5
JournalEurophysics Letters
Volume90
Issue number1
DOIs
Publication statusPublished - 2010

Fingerprint

Dive into the research topics of 'A tight Tsirelson inequality for infinitely many outcomes'. Together they form a unique fingerprint.

Cite this