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arXiv · 2304.05696

On the representations of Bell's operators in Quantum Mechanics

Silvio Paolo Sorella
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Abstract

We point out that, when the dimension of the Hilbert space is greater than two, Bell's operators entering the Bell-CHSH inequality exhibit unitarily inequivalent representations. Although the Bell-CHSH inequality turns out to be violated, the size of the violation is different for different representations, the maximum violation being given by Tsirelson's bound. The feature relies on a pairing mechanism between the modes of the Hilbert space of the system.

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Silvio Paolo Sorella. 2023-04-12. On the representations of Bell's operators in Quantum Mechanics. https://doi.org/10.1007/s10701-023-00699-6

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