Entangled coherent states and violations of Bell-CHSH inequalities

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 $(A,A^{\prime },B,B^{\prime })$ entering the inequality are constructed. For each class of coherent states, we compute the correlator $⟨\psi |AB+A^{\prime }B+A{B}^{\prime }-A^{\prime }{B}^{\prime }|\psi ⟩$, analyzing the set of parameters that leads to a Bell-CHSH inequality violation and, particularly, to the saturation of Tsirelson's bound.

12 pages, 14 figures. Published in PLA

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Cited by in corpus (3)

• Introduction to Bell's inequality in Quantum Mechanics
• Nonlocality in Continuous-Variable Quantum Networks
• Bell-CHSH inequality and unitary transformations in Quantum Field Theory