Entangled coherent states and violations of Bell-CHSH inequalities

• URL: http://arxiv.org/abs/2305.04674v2
• Date: Tue, 19 Sep 2023 16:32:32 GMT
• Title: Entangled coherent states and violations of Bell-CHSH inequalities
• Authors: Philipe De Fabritiis, Fillipe M. Guedes, Giovani Peruzzo, Silvio P. Sorella
• Abstract summary: Three classes of entangled coherent states are employed to study the Bell-CHSH inequality. We compute the correlator $langle psi vert A B + A' B + A' B + A B' - A' B' vert psi rangle$, analyzing the set of parameters that leads to a Bell-CHSH inequality violation.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Three classes of entangled coherent states are employed to study the Bell-CHSH inequality. By using pseudospin operators in infinite dimensional Hilbert spaces, four dichotomic operators $(A,A',B,B')$ entering the inequality are constructed. For each class of coherent states, we compute the correlator $\langle \psi \vert A B + A' B + A B' - A' B' \vert \psi \rangle$, analyzing the set of parameters that leads to a Bell-CHSH inequality violation and, particularly, to the saturation of Tsirelson's bound.

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