Entanglement detection and lower bound of convex-roof extension of negativity

Abstract

We present a set of inequalities based on mean values of quantum mechanical observables nonlinear entanglement witnesses for bipartite quantum systems. These inequalities give rise to sufficient and necessary conditions for separability of all bipartite pure states and even some mixed states. In terms of these mean values of quantum mechanical observables a measurable lower bound of the convex-roof extension of the negativity is derived.

8 pages, 1 figure

References in corpus (4)

• Detecting Genuine Multipartite Entanglement with Two Local Measurements
• Gisin's Theorem for Arbitrary Dimensional Multipartite States
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• Inequalities Detecting Quantum Entanglement for $2\otimes d$ Systems

Cited by in corpus (3)

• Beating detection loophole in nonlinear entanglement witnesses
• Measurement-device-independent nonlinear entanglement witnesses
• On the separability criterion of bipartite states with certain non-Hermitian operators