Quantum teleportation of a qutrit state via a hypergraph state in a noisy environment

TL;DR

This paper introduces a new quantum teleportation protocol for qutrit states using hypergraph states as channels, analyzing its robustness under six types of noise in a noisy environment.

Contribution

It proposes a novel teleportation protocol utilizing hypergraph states for qutrits and analyzes its performance under various noise models.

Findings

Five suitable hypergraph states identified for teleportation.

Analytical expressions for teleportation fidelity derived under different noises.

Protocol demonstrates robustness in noisy quantum communication environments.

Abstract

The concept of quantum teleportation is fundamental in the theory of quantum communication. Developing models of quantum teleportation in different physical scenario is a modern trend of research in this direction. This work is at the interface of hypergraph theory and quantum teleportation. We propose a new teleportation protocol for qutrit states in a noisy environment. This protocol utilizes a shared quantum hypergraph state between parties as quantum channels, to carry quantum information. During the preparation of the shared state different quantum noise may act on it. In this article, we consider six types of noises which are generalized for qutrits using Wyel operators. They are the qutrit-flip noise, qutrit-phase-flip noise, depolarizing noise, Markovian and non-Markovian amplitude damping channel, Markovian and non-Markovian dephasing channel, and non-Markovian depolarization noise. There are only five qutrit hypergraph states which satisfies our requirements to be used as a channel. We consider all of them in this work. For different hypergraph states and different noises we work out the analytical expressions of quantum teleportation fidelity.