38
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Separability Criterion for Density Matrices

      Preprint

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          A quantum system consisting of two subsystems is separable if its density matrix can be written as \(\rho=\sum_A w_A\,\rho_A'\otimes\rho_A''\), where \(\rho_A'\) and \(\rho_A''\) are density matrices for the two subsytems. In this Letter, it is shown that a necessary condition for separability is that a matrix, obtained by partial transposition of \(\rho\), has only non-negative eigenvalues. This criterion is stronger than Bell's inequality.

          Related collections

          Most cited references3

          • Record: found
          • Abstract: found
          • Article: found
          Is Open Access

          Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels

          Two separated observers, by applying local operations to a supply of not-too-impure entangled states ({\em e.g.} singlets shared through a noisy channel), can prepare a smaller number of entangled pairs of arbitrarily high purity ({\em e.g.} near-perfect singlets). These can then be used to faithfully teleport unknown quantum states from one observer to the other, thereby achieving faithful transfrom one observer to the other, thereby achieving faithful transmission of quantum information through a noisy channel. We give upper and lower bounds on the yield \(D(M)\) of pure singlets (\(\ket{\Psi^-}\)) distillable from mixed states \(M\), showing \(D(M)>0\) if \(\bra{\Psi^-}M\ket{\Psi^-}>\half\).
            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            Bell’s inequalities versus teleportation: What is nonlocality?

              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              Transmission gratings for chromatic dispersion compensation

                Bookmark

                Author and article information

                Journal
                08 April 1996
                1996-06-17
                Article
                10.1103/PhysRevLett.77.1413
                quant-ph/9604005
                9271a6e0-2ad0-4a59-ae90-c0833e28c041
                History
                Custom metadata
                Phys.Rev.Lett.77:1413-1415,1996
                6 pages LaTeX, contains a simplified derivation and two new examples
                quant-ph

                Comments

                Comment on this article