Trade-off relations on CHSH tests for multi-qubit pure states

Abstract

We study the trade-off relations on the maximal violation of CHSH tests for the multi-qubit pure states. Firstly, according to the classification of 3-qubit pure states under stochastic local operations and classical communication, four trade-off relations on CHSH tests are provided. The process of proof also provides the method of calculating its exact value. Then we consider the multi-qubit quantum systems, and we prove that the conjecture in [PRA 94, 042105 (2016)] is right for some special 4-qubit or more qubit pure states.

arXiv comment10pages

References in corpus (11)

• Three qubits can be entangled in two inequivalent ways
• Bell nonlocality
• Distributed Entanglement
• All entangled pure states violate a single Bell's inequality
• Gisin's Theorem for Three Qubits
• Volume monogamy of quantum steering ellipsoids for multi-qubit systems
• Gisin's Theorem for Arbitrary Dimensional Multipartite States
• Generalized Hardy's Paradox
• Anisotropic invariance and the distribution of quantum correlations
• Trade-off Relations of Bell Violations among Pairwise Qubit Systems
• Complementarity between Tripartite Quantum Correlation and Bipartite Bell Inequality Violation in Three Qubit States