arXiv:1308.3287 [quant-ph]AbstractReferencesReviewsResources
The CHSH-type inequalities for infinite-dimensional quantum systems
Published 2013-08-15Version 1
By establishing CHSH operators and CHSH-type inequalities, we show that any entangled pure state in infinite-dimensional systems is entangled in a $2\otimes2$ 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.
Comments: 9 pages. arXiv admin note: text overlap with arXiv:1006.3557 by other authors
Journal: Modern Physics Letters B Vol. 27, No. 21 (2013) 1350151
Keywords: infinite-dimensional quantum systems, chsh-type inequalities, infinite-dimensional systems, chsh operators satisfy, entangled pure state
Tags: journal article
Related articles: Most relevant | Search more
A Finite de Finetti Theorem for Infinite-Dimensional Systems
Finite Controllability of Infinite-Dimensional Quantum Systems
arXiv:1203.3933 [quant-ph] (Published 2012-03-18)
Concurrence for infinite-dimensional quantum systems