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理论物理通讯：英文版

Bell＇s Theorem Without Inequalities for Arbitrarily High-Dimensional Fermionic System

CHENChang-Yong, ZHANGXiao-Long, GAOKe-Lin

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

A generalized proof of Bell's theorem without inequalities via the singlet state of two spin-(2n + 1)/2 fermionic particles for two observers is proposed. It is a direct and meaningful extension of that presented by A. Cabello [Phys. Rev. A67 (2003) 032107] and the proof from A. Cabello is included in our proof as a special example.

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Bell's Theorem Without Inequalities for Arbitrarily High-Dimensional Fermionic System

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A generalized proof of Bell's theorem without inequalities via the singlet state of two spin-(2 n +1)/2 fermionic particles for two observers is proposed. It is a direct and meaningful extension of that presented by A. Cabello [Phys. Rev. A67 (2003) 032107] and the proof from A. Cabello is included in our proof as a special example.

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Cabello Replies:

Adán Cabello

It is shown that Marinatto's claim [Phys. Rev. Lett. 90, 258901 (2003)] that the proof of "Bell's theorem without inequalities and without probabilities for two observers" [A. Cabello, Phys. Rev. Lett. 86, 1911 (2001)] requires four spacelike separated observers rather than two is unjustified.

arXiv:quant-ph/0306180•Physical Review Letters•Jun 23, 2003•5 citations
The singlet state of two spin-32\frac{3}{2}23​ particles allows a proof of Bell's theorem without inequalities with two distinguishing features: any local observable can be regarded as an Einstein-Podolsky-Rosen element of reality, and the contradiction with local realism occurs not only for some specific local observables but for any rotation whereof.