Optimal CHSH values for regular polygon theories in generalized probabilistic theories

• URL: http://arxiv.org/abs/2401.04596v1
• Date: Tue, 9 Jan 2024 14:59:26 GMT
• Title: Optimal CHSH values for regular polygon theories in generalized probabilistic theories
• Authors: Ryo Takakura
• Abstract summary: In the usual CHSH setting for quantum theory, the CHSH value is known to be optimized by maximally entangled states. Our result gives a physical meaning to the concept of maximal entanglement" in regular polygon theories.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this study, we consider generalized probabilistic theories (GPTs) and focus on a class of theories called regular polygon theories, which can be regarded as natural generalizations of a two-level quantum system (a qubit system). In the usual CHSH setting for quantum theory, the CHSH value is known to be optimized by maximally entangled states. This research will reveal that the same observations are obtained also in regular polygon theories. Our result gives a physical meaning to the concept of ``maximal entanglement" in regular polygon theories.

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