On the Structure of Entanglement Witnesses and New Class of Positive Indecomposable Maps

  • Authors:

  • Dariusz Chruściński;Andrzej Kossakowski

  • Affiliations:

  • Institute of Physics, Nicolaus Copernicus University, Toruń, Poland 87-100;Institute of Physics, Nicolaus Copernicus University, Toruń, Poland 87-100

  • Venue:
  • Open Systems & Information Dynamics
  • Year:
  • 2007

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Abstract

We construct a new class of positive indecomposable maps in the algebra of d x d complex matrices. Each map is uniquely characterized by a cyclic bistochastic matrix. This class generalizes Choi map for d = 3. It provides a new reach family of indecomposable entanglement witnesses which define important tool for investigating quantum entanglement.