Gisin's Theorem for Arbitrary Dimensional Multipartite States

Abstract

We present a set of Bell inequalities which are sufficient and necessary for separability of general pure multipartite quantum states in arbitrary dimensions. The relations between Bell inequalities and distillability are also studied. We show that any quantum states that violate one of these Bell inequalities are distillable.

5 pages

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• Complete Entanglement Witness for Quantum Teleportation
• Bell inequalities for multipartite qubit quantum systems and their maximal violation
• Tight upper bound for the maximal quantum value of the Svetlichny operators
• Inequalities Detecting Quantum Entanglement for $2\otimes d$ Systems
• Entanglement criterion via general symmetric informationally complete measurements
• Entanglement Witnesses Based on Symmetric Informationally Complete Measurements
• Certification of Genuine Multipartite Entanglement with General and Robust Device-independent Witnesses
• Inequalities detecting entanglement for arbitrary bipartite systems
• Verification of Bell Nonlocality by Violating Quantum Monogamy Relations
• Entanglement Detection and Distillation for Arbitrary Bipartite Systems
• Verifying Hierarchic Multipartite and Network Nonlocalities with a Unified Method
• Entanglement detection and lower bound of convex-roof extension of negativity
• Negative entanglement measure for bipartite separable mixed states
• Undetectable Werner states using linear Bell inequalities
• Nonlocality of two-qubit and three-qubit Schmidt-Correlated states
• Maximal violation of Bell inequalities under local filtering
• Enhanced separability criteria based on symmetric measurements
• Trade-off relations on CHSH tests for multi-qubit pure states
• Testing Genuine Multipartite Nonlocality via an Inflated Network with Multi-copy Entangled States
• On the separability criterion of bipartite states with certain non-Hermitian operators
• The CHSH-type inequalities for infinite-dimensional quantum systems