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The CHSH-type inequalities for infinite-dimensional quantum systems
arXiv
Authors: Yu Guo
Year
2013
Paper ID
33209
Status
Preprint
Abstract Read
~2 min
Abstract Words
75
Citations
N/A
Abstract
By establishing CHSH operators and CHSH-type inequalities, we show that any entangled pure state in infinite-dimensional systems is entangled in a 2otimes2 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.
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- This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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- By establishing CHSH operators and CHSH-type inequalities, we show that any entangled pure state in infinite-dimensional systems is entangled in a 2otimes2 subspace.
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