Classification and monogamy of three-qubit biseparable Bell correlations

Abstract

We strengthen the set of Bell-type inequalities presented by Sun & Fei [Phys. Rev. A 74, 032335 (2006)] that give a classification for biseparable correlations and entanglement in tripartite quantum systems. We will furthermore consider the restriction to local orthogonal spin observables and show that this strengthens all previously known such tripartite inequalities. The quadratic inequalities we find indicate a type of monogamy of maximal biseparable three-particle quantum correlations, although the nonmaximal ones can be shared. This is contrasted to recently found monogamy inequalities for bipartite Bell correlations in tripartite systems.

Accepted final version for PRA. 6 pages

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• All Multiparty Quantum States Can Be Made Monogamous
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• Light Cone-Like Behavior of Quantum Monogamy Score and Multisite Entanglement
• Exclusion Principle for Quantum Dense Coding
• Enhancement of Quantum Correlation Length in Quenched Disordered Spin Chains
• Maximally dense coding capable quantum states
• Complementarity between Tripartite Quantum Correlation and Bipartite Bell Inequality Violation in Three Qubit States
• Conditions for monogamy of quantum correlations in multipartite systems
• Beating no-go theorems by engineering defects in quantum spin models
• Shared Purity of Multipartite Quantum States
• Locally Accessible Information of Multisite Quantum Ensembles Violates Monogamy
• Information complementarity in multipartite quantum states and security in cryptography
• Distribution of Bell inequality violation vs. multiparty quantum correlation measures
• Unmasking the Polygamous Nature of Quantum Nonlocality
• Entanglement sharing in $E\otimes \epsilon$ Jahn-Teller model in the presence of a magnetic field
• Several Trade off Features of Quantum Steering in Distributed Scenario