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Applied Physics B

, Volume 82, Issue 2, pp 225–235 | Cite as

Numerical Computation of Localizable Entanglement in Spin Chains

  • M. Popp
  • F. Verstraete
  • M.A. Martin-Delgado
  • I. Cirac
Article

Abstract

We present an introduction to the concept of localizable entanglement (LE) with special focus on its numerical computation. LE is an entanglement measure for multipartite systems, which leads naturally to notions like entanglement length and entanglement fluctuations. After briefly reviewing basic properties of LE we present a scheme for the numerical calculation of LE. It is based on the matrix-product state representation of many-body quantum states and the Monte Carlo method. It can be applied both to pure and mixed states. Using this method we calculate the LE of ground and thermal states for various spin systems.

Keywords

Monte Carlo Spin Chain Quantum Phase Transition Entanglement Measure Reduce Density Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  • M. Popp
    • 1
  • F. Verstraete
    • 2
  • M.A. Martin-Delgado
    • 3
  • I. Cirac
    • 1
  1. 1.Max-Planck-Institut für QuantenoptikGarchingGermany
  2. 2.Institute for Quantum InformationCaltechPasadenaUSA
  3. 3.Departamento de Física Teórica IUniversidad Complutense de MadridMadridSpain

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