4.7 Review

Entanglement detection

Journal

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
Volume 474, Issue 1-6, Pages 1-75

Publisher

ELSEVIER
DOI: 10.1016/j.physrep.2009.02.004

Keywords

Entanglement detection; Separability criteria; Genuine multipartite entanglemental

Funding

  1. FWF (START Prize)
  2. EU
  3. National Research Fund of Hungary OTKA [T049234]
  4. Hungarian Academy of Sciences Janos Bolyai Programme)
  5. Spanish MEC (Ramon y Cajal Programme, Consolider-Ingenio 2010 project QOIT)

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How can one prove that a given quantum state is entangled? In this paper we review different methods that have been proposed for entanglement detection. We first explain the basic elements of entanglement theory for two or more particles and then entanglement verification procedures such as Bell inequalities, entanglement witnesses, the determination of nonlinear properties of a quantum state via measurements on several copies, and spin squeezing inequalities. An emphasis is given to the theory and application of entanglement witnesses. We also discuss several experiments, where some of the presented methods have been implemented. (C) 2009 Elsevier B.V. All rights reserved.

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