Limits on non-local correlations from the structure of the local state space

Details Limits on non-local correlations from the structure of the local state space Limits on non-local correlations from the structure of the local state space

2010-12-06

arxiv.org/abs/1012.1215v3

New J. Phys. 13 (2011) 063024

Physics

Quantum Physics

26 pages, 4 figures. v2: Document structure changed. Main theorem has been extended. It applies to all quantum states now. v3:

Scientific paper

10.1088/1367-2630/13/6/063024

The outcomes of measurements on entangled quantum systems can be nonlocally correlated. However, while it is easy to write down toy theories allowing arbitrary nonlocal correlations, those allowed in quantum mechanics are limited. Quantum correlations cannot, for example, violate a principle known as macroscopic locality, which implies that they cannot violate Tsirelson's bound. This work shows that there is a connection between the strength of nonlocal correlations in a physical theory, and the structure of the state spaces of individual systems. This is illustrated by a family of models in which local state spaces are regular polygons, where a natural analogue of a maximally entangled state of two systems exists. We characterize the nonlocal correlations obtainable from such states. The family allows us to study the transition between classical, quantum, and super-quantum correlations, by varying only the local state space. We show that the strength of nonlocal correlations - in particular whether the maximally entangled state violates Tsirelson's bound or not - depends crucially on a simple geometric property of the local state space, known as strong self-duality. This result is seen to be a special case of a general theorem, which states that a broad class of entangled states in probabilistic theories - including, by extension, all bipartite classical and quantum states - cannot violate macroscopic locality. Finally, our results show that there exist models which are locally almost indistinguishable from quantum mechanics, but can nevertheless generate maximally nonlocal correlations.

Affiliated with

Also associated with

No associations

Rating

Limits on non-local correlations from the structure of the local state space 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 Limits on non-local correlations from the structure of the local state space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Limits on non-local correlations from the structure of the local state space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-168144