Faithful Teleportation with Partially Entangled States

Details Faithful Teleportation with Partially Entangled States Faithful Teleportation with Partially Entangled States

2004-02-19

arxiv.org/abs/quant-ph/0402133v2

Phys. Rev. A 70, 042301 (2004).

Physics

Quantum Physics

5 pages, RevTex4, This significantly modified version accepted for publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.70.042301

We write explicitly a general protocol for faithful teleportation of a d-state particle (qudit) via a partially entangled pair of (pure) $n$-state particles. The classical communication cost (CCC) of the protocol is $\log_{2}(nd)$ bits, and it is implemented by a {\em projective} measurement performed by Alice, and a unitary operator performed by Bob (after receiving from Alice the measurement result). We prove the optimality of our protocol by a comparison with the concentrate and teleport strategy. We also show that if $d>n/2$ or if there is no residual entanglement left after the faithful teleportation, the CCC of {\em any} protocol is at least $\log_{2}(nd)$ bits. Furthermore, we find a lower bound on the CCC in the process transforming one bipartite state to another by means of local operation and classical communication (LOCC).

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