Entanglement measures for intermediate separability of quantum states

2008/09/30 by Tsubasa Ichikawa, Toshihiko Sasaki, Izumi Tsutsui · 1 citation
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physreva.79.052307

published as Phys. Rev. A79 (2009) 052307 · 8 pages, 8 figures

arxiv created 2009/04/06 · openalex publication_date 2009/05/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We present a family of entanglement measures R_m which act as indicators of separability of n-qubit quantum states into m subsystems for arbitrary 2\ensuremath≤m\ensuremath≤n. The measure R_m vanishes if the state is separable into m subsystems, and for m=n it gives the Meyer-Wallach measure, while for m=2 it reduces, in effect, to the one introduced recently by Love et al. [Quantum Inf. Process. 6, 187 (2007)]. The measures R_m are evaluated explicitly for the Greenberger-Horne-Zeilinger state and the W state (and its modifications, the W_k or Dicke states) to show that these globally entangled states exhibit rather distinct behaviors under the measures, indicating the utility of the measures R_m for characterizing globally entangled states as well.

Citations

• Three qubits can be entangled in two inequivalent ways
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Violation of Bell's inequality under strict Einstein locality conditions
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Characterizing the entanglement of symmetric many-particle spin-12systems
• Experimentally accessible geometric measure for entanglement inN-qubit pure states
• Global entanglement in multiparticle systems

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