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arXiv · 1308.3287

The CHSH-type inequalities for infinite-dimensional quantum systems

Yu Guo
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Abstract

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.

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Yu Guo. 2013-08-15. The CHSH-type inequalities for infinite-dimensional quantum systems. https://doi.org/10.1142/s0217984913501510

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