A $(k+1)$-partite entanglement measure of $N$-partite quantum states

Abstract

The concept of \textquotedblleft the permutationally invariant part of a density matrx\textquotedblright constitutes an important tool for entanglement characterization of multiqubit systems. In this paper, we first present $(k+1)$-partite entanglement measure of $N$-partite quantum system, which possesses desirable properties of an entanglement measure. Moreover, we give strong bounds on this measure by considering the permutationally invariant part of a multipartite state. We give two definitions of efficient measurable degree of $(k+1)$-partite entanglement. Finally, several concrete examples are given to illustrate the effectiveness of our results.

References in corpus (10)

• Entanglement detection
• Entanglement Certification $-$ From Theory to Experiment
• Taming multiparticle entanglement
• Concurrence of arbitrary dimensional bipartite quantum states
• Measure of genuine multipartite entanglement with computable lower bounds
• Optimal Controlled Teleportation
• Detection of genuinely entangled and non-separable $n$-partite quantum states
• Detection of $k$-partite entanglement and $k$-nonseparability of multipartite quantum states
• Quantum Entanglement: Separability, Measure, Fidelity of Teleportation and Distillation
• Necessary conditions for classifying m-separability of multipartite entanglements

Cited by in corpus (4)

• Parameterized multipartite entanglement measures
• Quantifying multipartite quantum states by ($k+1$)-partite entanglement measures
• Partitewise Entanglement
• Complete $k$-partite entanglement measure