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

### Author and article information

###### Journal
20 November 1995
1995-11-22
###### Article
10.1103/PhysRevLett.76.722
quant-ph/9511027
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