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On Conclusive Teleportation

Somshubhro Bandyopadhyay

Published Jul 4, 1999• 0 citations
OpenAlex

Abstract

We propose a scheme to achieve perfect teleportation using any pure entangled state. The probability with which successful teleportation occurs with fidelity one is shown to be greater than that obtained in a recent protocol by Mor and Horodecki.

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Recently M. Horodecki, P. Horodecki, and R. Horodecki [Phys. Rev. Lett. 80, 5239 (1998)] have introduced a set of density matrices of two spin-1 particles from which it is not possible to distill any maximally entangled states, even though the density matrices are entangled. Thus these density matrices do not allow reliable teleportation. However, it might nevertheless be the case that these states can be used for teleportation, not reliably, but still with fidelity greater than that which may be achieved with a classical scheme. We show that, at least for some of these density matrices, teleportation cannot be achieved with better than classical fidelity.
Quantum teleportation with additional a priori information about the input state achieves higher fidelity than teleportation of a completely unknown state. However, perfect teleporation of two nonorthogonal input states requires the same amount of entanglement as perfect teleportation of an unknown state, namely one ebit. We analyze how well two-state teleportation can be achieved using every degree of pure-state entanglement. We find the highest fidelity of ``teleportation'' that can be achieved with only classical communication but no shared entanglement. A two-state telecloning scheme is constructed.