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research
Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
Authors
B Schumacher
Benjamin Schumacher
+13Â more
C. H. Bennett
Charles H. Bennett
D. Deutsch
Gilles Brassard
J. F. Clauser
John A. Smolin
P. Shor
R. F. Werner
R. Jozsa
S. Popescu
Sandu Popescu
W. K. Wootters
William K. Wootters
Publication date
22 November 1995
Publisher
'American Physical Society (APS)'
Doi
Cite
View
on
arXiv
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
)
D(M)
D
(
M
)
of pure singlets (
∣
Ψ
−
⟩
\ket{\Psi^-}
∣
Ψ
−
⟩
) distillable from mixed states
M
M
M
, showing
D
(
M
)
>
0
D(M)>0
D
(
M
)
>
0
if
\bra{\Psi^-}M\ket{\Psi^-}>\half
.Comment: 4 pages (revtex) plus 1 figure (postscript). See also http://vesta.physics.ucla.edu/~smolin/ . Replaced to correct interchanged
σ
x
\sigma_x
σ
x
​
and
σ
z
\sigma_z
σ
z
​
near top of column 2, page
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