Multiparty-controlled teleportation of an arbitrary m-qudit state with pure entangled quantum channel

TL;DR

This paper proposes a flexible multiparty-controlled teleportation protocol for arbitrary m-qudit states using non-maximally entangled channels, ensuring security and optimal success probability based on entanglement.

Contribution

It introduces a general scheme for teleporting m-qudit states with non-maximally entangled channels, incorporating security measures and probabilistic extraction of quantum information.

Findings

Protocol achieves optimal success probability proportional to entanglement

Uses decoy photons for secure quantum channel setup

Allows probabilistic recovery of the original m-qudit state

Abstract

We present a general scheme for multiparty-controlled teleportation of an arbitrary m-qudit ($d$-dimensional quantum system) state by using non-maximally entangled states as the quantum channel. The sender performs m generalized Bell-state measurements on her 2$m$ particles, the controllers take some single-particle measurements with the measuring basis $X_{d}$ and the receiver only need to introduce one auxiliary two-level particle to extract quantum information probabilistically with the fidelity unit if he cooperates with all the controllers. All the parties can use some decoy photons to set up their quantum channel securely, which will forbid some a dishonest party to eavesdrop freely. This scheme is optimal as the probability that the receiver obtains the originally unknown m-qudit state equals to the entanglement of the quantum channel.