An introduction to entanglement measures

  • Authors:
  • Martin B. Plbnio;Shashank Virmani

  • Affiliations:
  • Blackett Laboratory and Institute for Mathematical Sciences, Imperial College London, London, UK;Blackett Laboratory and Institute for Mathematical Sciences, Imperial College London, London, UK

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2007

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Abstract

We review the theory of entanglement measures, concentrating mostly on the finite dimensional two-party case. Topics covered include: single-copy and asymptotic entanglement manipulation; the entanglement of formation; the entanglement cost; the distillable entanglement; the relative entropic measures; the squashed entanglement; log-negativity; the robustness monotones; the greatest cross-norm; uniqueness and extremality theorems. Infinite dimensional systems and multi-party settings will be discussed and an exteneive list of open research questione will be presented.