Optimal CHSH values for regular polygon theories in generalized probabilistic theories
arXiv:2401.04596 · doi:10.1088/1751-8121/ad7077
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.
References in corpus (8)
- The uncertainty principle determines the non-locality of quantum mechanics
- A derivation of quantum theory from physical requirements
- A generalized no-broadcasting theorem
- An invertible map between Bell non-local and contextuality scenarios
- Information and communication in polygon theories
- Conditions for the compatibility of channels in general probabilistic theory and their connection to steering and Bell nonlocality
- Contextuality as a Precondition for Quantum Entanglement
- Random access test as an identifier of nonclassicality