The CHSH-type inequalities for infinite-dimensional quantum systems
Quantum Physics
2013-08-16 v1 Mathematical Physics
math.MP
Abstract
By establishing CHSH operators and CHSH-type inequalities, we show that any entangled pure state in infinite-dimensional systems is entangled in a subspace. We find that, for infinite-dimensional systems, the corresponding properties are similar to that of the two-qubit case: (i) The CHSH-type inequalities provide a sufficient and necessary condition for separability of pure states; (ii) The CHSH operators satisfy the Cirel'son inequalities; (iii) Any state which violates one of these Bell inequalities is distillable.
Cite
@article{arxiv.1308.3287,
title = {The CHSH-type inequalities for infinite-dimensional quantum systems},
author = {Yu Guo},
journal= {arXiv preprint arXiv:1308.3287},
year = {2013}
}
Comments
9 pages. arXiv admin note: text overlap with arXiv:1006.3557 by other authors