Necessary and sufficient condition for quantum-generated correlations
Ll. Masanes
TL;DR
This paper introduces a non-linear inequality that fully characterizes quantum correlations in bipartite systems with two dichotomic measurements, strengthening Cirel'son's bound to a necessary and sufficient condition.
Contribution
It provides a complete characterization of quantum correlations using a new non-linear inequality, extending the understanding of quantum bounds.
Findings
The inequality fully characterizes bipartite quantum correlations.
It strengthens Cirel'son's bound to a necessary and sufficient condition.
The result applies to measurements with two dichotomic observables.
Abstract
We present a non-linear inequality that completely characterizes the set of correlation functions obtained from bipartite quantum systems, for the case in which measurements on each subsystem can be chosen between two arbitrary dichotomic observables. This necessary and sufficient condition is the maximal strengthening of Cirel'son's bound.
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Taxonomy
TopicsQuantum Mechanics and Applications · Quantum Information and Cryptography