Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels

Details Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels

1995-11-20

arxiv.org/abs/quant-ph/9511027v2

Phys.Rev.Lett.76:722-725,1996

Physics

Quantum Physics

4 pages (revtex) plus 1 figure (postscript). See also http://vesta.physics.ucla.edu/~smolin/ . Replaced to correct interchange

Scientific paper

10.1103/PhysRevLett.76.722

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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