Genuine multipartite entanglement in quantum phase transitions

Journal Article · Sun Jan 15 00:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.73.0· OSTI ID:20786621

Oliveira, Thiago R. de; Rigolin, Gustavo; Oliveira, Marcos C. de ^[1]

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1. Instituto de Fisica Gleb Wataghin, Universidade Estadual de Campinas, 13083-970, Campinas, Sao Paulo (Brazil)

We demonstrate that the global-entanglement (GE) measure defined by Meyer and Wallach [J. Math. Phys. 43, 4273 (2002)] is maximal at the critical point for the Ising chain in a transverse magnetic field. Our analysis is based on the equivalence of GE to the averaged linear entropy, allowing an understanding of multipartite entanglement (ME) features through a generalization of GE for bipartite blocks of qubits. Moreover, in contrast to GE, the proposed ME measure can distinguish three paradigmatic entangled states: GHZ{sub N} (Greenberger-Horne-Zeilinger), W{sub N}, and EPR{sup xN/2}. As such the generalized measure can detect a genuine ME and is maximal at the critical point.

• OSTI ID: 20786621
• Journal Information: Physical Review. A, Vol. 73, Issue 1; Other Information: DOI: 10.1103/PhysRevA.73.010305; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ENTROPY
ISING MODEL
MAGNETIC FIELDS
PHASE TRANSFORMATIONS
QUANTUM COMPUTERS
QUANTUM ENTANGLEMENT
QUBITS