Quantum teleportation scheme by selecting one of multiple output ports

TL;DR

This paper thoroughly analyzes a quantum teleportation scheme with multiple output ports, optimizing protocols for both deterministic and probabilistic cases, achieving perfect teleportation as the number of ports approaches infinity.

Contribution

It analytically determines optimal protocols for various cases of multi-port teleportation, including fixed and optimized states, with explicit fidelity and success probability results.

Findings

Protocols achieve perfect teleportation as N approaches infinity.

Optimal fidelity and success probability are analytically derived.

Entanglement properties of the scheme are discussed.

Abstract

The scheme of quantum teleportation, where Bob has multiple (N) output ports and obtains the teleported state by simply selecting one of the N ports, is thoroughly studied. We consider both deterministic version and probabilistic version of the teleportation scheme aiming to teleport an unknown state of a qubit. Moreover, we consider two cases for each version: (i) the state employed for the teleportation is fixed to a maximally entangled state, and (ii) the state is also optimized as well as Alice's measurement. We analytically determine the optimal protocols for all the four cases, and show the corresponding optimal fidelity or optimal success probability. All these protocols can achieve the perfect teleportation in the asymptotic limit of $N\to\infty$. The entanglement properties of the teleportation scheme are also discussed.