Entanglement measures for intermediate separability of quantum states

Journal Article · Fri May 15 04:00:00 EDT 2009 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.79.052307· OSTI ID:21300815

Ichikawa, Tsubasa; Sasaki, Toshihiko; Tsutsui, Izumi ^[1]

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1. High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801 (Japan)

We present a family of entanglement measures R{sub m} which act as indicators of separability of n-qubit quantum states into m subsystems for arbitrary 2{<=}m{<=}n. The measure R{sub 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{sub m} are evaluated explicitly for the Greenberger-Horne-Zeilinger state and the W state (and its modifications, the W{sub 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{sub m} for characterizing globally entangled states as well.

• OSTI ID: 21300815
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 79; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MODIFICATIONS
QUANTUM ENTANGLEMENT
QUANTUM INFORMATION
QUANTUM MECHANICS