Violation of Bell inequalities in $2\times3$ dimensional systems

• URL: http://arxiv.org/abs/2605.09474v1
• Date: Sun, 10 May 2026 11:01:34 GMT
• Title: Violation of Bell inequalities in $2\times3$ dimensional systems
• Abstract summary: We derive the necessary and sufficient conditions for the violation of the inequality as well as some sufficient conditions.<n>Remarkably, we demonstrate the importance of local parameters in violation of the inequality.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider the Clauser-Horn (CH) inequality for a qubit-qutrit system. We derive the necessary and sufficient conditions for the violation of the inequality as well as some sufficient conditions. Remarkably, we demonstrate the importance of local parameters in violation of the inequality. In other words, there are some families of mixed states violating the inequality for which the correlation part alone is useless in the Bell-CH test.

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