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      Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels

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          Abstract

          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 \(\bra{\Psi^-}M\ket{\Psi^-}>\half\).

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          Journal
          20 November 1995
          1995-11-22
          Article
          10.1103/PhysRevLett.76.722
          quant-ph/9511027
          Custom metadata
          Phys.Rev.Lett.76:722-725,1996
          4 pages (revtex) plus 1 figure (postscript). See also http://vesta.physics.ucla.edu/~smolin/ . Replaced to correct interchanged $\sigma_x$ and $\sigma_z$ near top of column 2, page 2
          quant-ph

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