Performances and robustness of quantum teleportation with identical particles

TL;DR

This paper investigates the limits and conditions for achieving near-perfect quantum teleportation using identical particles, focusing on entangled modes and the impact of particle number conservation and noise.

Contribution

It provides theoretical conditions for asymptotic perfect teleportation with identical particles and analyzes the effects of noise on resource states.

Findings

Teleportation performance improves with increasing particle number

Sufficient conditions for asymptotic perfect teleportation are identified

Noise in resource states affects teleportation fidelity

Abstract

When quantum teleportation is performed with truly identical massive particles, indistinguishability allows us to teleport addressable degrees of freedom which do not identify particles, but e.g. orthogonal modes. The key resource of the protocol is a state of entangled modes, but the conservation of the total number of particles does not allow for perfect deterministic teleportation unless the number of particles in the resource state goes to infinity. Here, we study the convergence of teleportation performances in the above limit, and provide sufficient conditions for asymptotic perfect teleporation. We also apply these conditions to the case of resource states affected by noise.