Entanglement detection and distillation for arbitrary bipartite systems

  • Authors:
  • Ming-Jing Zhao;Ting-Gui Zhang;Xianqing Li-Jost;Shao-Ming Fei

  • Affiliations:
  • Max-Planck-Institute for Mathematics in the Sciences, Leipzig, Germany 04103;Max-Planck-Institute for Mathematics in the Sciences, Leipzig, Germany 04103;Max-Planck-Institute for Mathematics in the Sciences, Leipzig, Germany 04103;Max-Planck-Institute for Mathematics in the Sciences, Leipzig, Germany 04103 and School of Mathematical Sciences, Capital Normal University, Beijing, China 100048

  • Venue:
  • Quantum Information Processing
  • Year:
  • 2013

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Abstract

We present an inequality for detecting entanglement and distillability of arbitrary dimensional bipartite systems. This inequality provides a sufficient condition of entanglement for bipartite mixed states, and a necessary and sufficient condition of entanglement for bipartite pure states. Moreover, the inequality also gives a necessary and sufficient condition for distillability.