Families of bipartite states classifiable by the positive partial transposition criterion

  • Authors:

  • F. E. S. Steinhoff;M. C. de Oliveira

  • Affiliations:

  • Instituto de Fsica Gleb Wataghin, Universidade Estadual de Campinas, Campinas, SP, Brazil;Instituto de Fsica Gleb Wataghin, Universidade Estadual de Campinas, Campinas, SP, Brazil

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2010

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Abstract

We construct a family of bipartite states of arbitrary dimension whose eigenvalues of thepartially transposed matrix can be inferred directly from the block structure of the globaldensity matrix. We identify from this several subfamilies in which the PPT criterion isboth necessary and sufficient. A sufficient criterion of separability is obtained, which isfundamental for the discussion. We show how several examples of states known to beclassifiable by the PPT criterion indeed belong to this general set. Possible uses of thesestates in numerical analysis of entanglement and in the search of PPT bound entangledstates are briefly discussed.