Perfect many-to-one teleportation with stabilizer states

TL;DR

This paper investigates the conditions under which stabilizer states enable perfect many-to-one quantum teleportation from multiple senders to a single receiver, providing protocols and insights into multipartite entanglement.

Contribution

It introduces two sufficient conditions for stabilizer states to achieve specific teleportation capacities and offers explicit protocols, including for mixed states, expanding understanding of multipartite quantum teleportation.

Findings

Mixed stabilizer states can enable perfect teleportation.

Two sufficient conditions for teleportation capacity are identified.

Protocols are explicitly constructed for various stabilizer states.

Abstract

We study the possibility of performing perfect teleportation of unknown quantum states from multiple senders to a single receiver with a previously shared stabilizer state. In the model we considered, the utilized stabilizer state is partitioned into several subsystems and then each subsystem is distributed to a distinct party. We present two sufficient conditions for a stabilizer state to achieve a given nonzero teleportation capacity with respect to a given partition plan. The corresponding teleportation protocols are also explicitly given. Interestingly, we find that even mixed stabilizer states are also useful for perfect many-to-one teleportation. Finally, our work provides a new perspective from stabilizer formalism to view the standard teleportation protocol and also suggests a new technique for analyzing teleportation capability of multipartite entangled states.