Improving the efficiency of single and multiple teleportation protocols based on the direct use of partially entangled states

TL;DR

This paper advances quantum teleportation by developing and comparing protocols that maximize efficiency using partially entangled states, including multipartite states, and establishes upper bounds for success rates.

Contribution

It unifies existing strategies for direct teleportation with partially entangled states, introduces new protocols with optimal efficiency, and proves upper bounds for success probabilities.

Findings

Protocols achieve optimal efficiency in various scenarios

New multipartite teleportation protocols outperform previous methods

Success rates reach theoretical upper bounds

Abstract

We push the limits of the direct use of partially pure entangled states to perform quantum teleportation by presenting several protocols in many different scenarios that achieve the optimal efficiency possible. We review and put in a single formalism the three major strategies known to date that allow one to use partially entangled states for direct quantum teleportation (no distillation strategies permitted) and compare their efficiencies in real world implementations. We show how one can improve the efficiency of many direct teleportation protocols by combining these techniques. We then develop new teleportation protocols employing multipartite partially entangled states. The three techniques are also used here in order to achieve the highest efficiency possible. Finally, we prove the upper bound for the optimal success rate for protocols based on partially entangled Bell states and show that some of the protocols here developed achieve such a bound.