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Peruzzo, G. and Sorella, S.P. (2023) Entanglement and Maximal Violation of the CHSH Inequality in a System of Two Spins J: A Novel Construction and Further Observations. Physics Letters A, 474, Article ID: 128847.
https://doi.org/10.1016/j.physleta.2023.128847

has been cited by the following article:

• TITLE: Dynamic Violation of Bell’s Inequalities in the Angular Momentum Representation

  AUTHORS: Julio Alberto López-Saldívar, Octavio Castaños, Sergio Cordero, Ramón López-Peña, Eduardo Nahmad-Achar

  KEYWORDS: Density Matrix, Angular Momentum, Bell Inequality, Entanglement

  JOURNAL NAME: Journal of Modern Physics, Vol.16 No.1, January 26, 2025

  ABSTRACT: A parametrization of density matrices of d dimensions in terms of the raising J + and lowering J − angular momentum operators is established together with an implicit connection with the generalized Bloch-GellMann parameters. A general expression for the density matrix of the composite system of angular momenta j 1 and j 2 is obtained. In this matrix representation violations of the Bell-Clauser-Horne-Shimony-Holt inequalities are established for the X -states of a qubit-qubit, pure and mixed, composite system, as well as for a qubit-qutrit density matrix. In both cases maximal violation of the Bell inequalities can be reached, i.e., the Cirel’son limit. A correlation between the entanglement measure and a strong violation of the Bell factor is also given. For the qubit-qutrit composite system a time-dependent convex combination of the density matrix of the eigenstates of a two-particle Hamiltonian system is used to determine periodic maximal violations of the Bell’s inequality.