Genuine multipartite entanglement in quantum phase transitions

2005/07/31 by Thiago R. de Oliveira, Gustavo Rigolin, M. C. de Oliveira +1 · 1 citation
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum many-body systems #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1103/physreva.73.010305

published as Phys. Rev. A 73, 010305(R) (2006) · 4 pages, 3 figures. Replaced with final published version

openalex publication_date 2006/01/31 · arxiv created 2006/02/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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_N (Greenberger-Horne-Zeilinger), W_N, and EPR^\ensuremath\bigotimesN∕2. As such the generalized measure can detect a genuine ME and is maximal at the critical point.

Citations

• Three qubits can be entangled in two inequivalent ways
• Analytic Relations between Localizable Entanglement and String Correlations in Spin Systems
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Entanglement versus Correlations in Spin Systems
• Global entanglement in multiparticle systems
• Distributed Entanglement

Cited by

• Generation of entanglement in finite spin systems via adiabatic quantum computation