Abstract

Two separated observers, by applying local operations to a supply of not-too-impure entangled states (e.g., singlets shared through a noisy channel), can prepare a smaller number of entangled pairs of arbitrarily high purity (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 transmission of quantum information through a noisy channel. We give upper and lower bounds on the yield D(M) of pure singlets (|Ψ−⟩) distillable from mixed states M, showing D(M)>0if ⟨Ψ−|M|Ψ−⟩>12.

Keywords

PhysicsQuantum entanglementTeleportationQuantum channelQuantum teleportationQuantum mechanicsChannel (broadcasting)Amplitude damping channelUpper and lower boundsQuantumQuantum information scienceCombinatoricsTopology (electrical circuits)Quantum discordComputer scienceMathematicsTelecommunicationsMathematical analysis

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Publication Info

Year
1996
Type
article
Volume
76
Issue
5
Pages
722-725
Citations
2810
Access
Closed

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Cite This

Charles H. Bennett, Gilles Brassard, Sandu Popescu et al. (1996). Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels. Physical Review Letters , 76 (5) , 722-725. https://doi.org/10.1103/physrevlett.76.722

Identifiers

DOI
10.1103/physrevlett.76.722