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

References in corpus (4)

• Device-independent security of quantum cryptography against collective attacks
• Concurrence and a proper monogamy inequality for arbitrary quantum states
• Two-Setting Bell Inequalities for Many Qubits
• Teleportation capability, distillability, and nonlocality on three-qubit states

Cited by in corpus (2)

• Bell inequalities for multipartite qubit quantum systems and their maximal violation
• Inequalities Detecting Quantum Entanglement for $2\otimes d$ Systems