Bound Entanglement and Teleportation

TL;DR

This paper investigates bound entangled states of two spin-1 particles and demonstrates that some of these states cannot be used for teleportation with fidelity exceeding classical limits.

Contribution

It provides evidence that certain bound entangled states are unsuitable for quantum teleportation beyond classical fidelity.

Findings

Some bound entangled states cannot surpass classical teleportation fidelity

Bound entanglement does not necessarily enable reliable teleportation

Not all entangled states are useful for quantum teleportation

Abstract

Recently M. Horodecki, P. Horodecki and R. Horodecki 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.