# Experimental high-dimensional quantum teleportation

## TL;DR

This paper demonstrates the teleportation of high-dimensional quantum states using a six-photon system, achieving nonclassical, genuine three-dimensional teleportation with potential applications in complex quantum networks.

## Contribution

It presents the first experimental realization of high-dimensional quantum teleportation in a three-dimensional six-photon system, utilizing spatial modes and auxiliary entanglement for deterministic measurements.

## Key findings

- Teleportation fidelity of 0.596±0.037
- Proved nonclassical and genuine three-dimensional teleportation
- Enabled remote reconstruction of complex quantum systems

## Abstract

Quantum teleportation provides a way to transmit unknown quantum states from one location to another. In the quantum world, multilevel systems which enable high-dimensional systems are more prevalent. Therefore, to completely rebuild the quantum states of a single particle remotely, one needs to teleport multilevel (high-dimensional) states. Here, we demonstrate the teleportation of high-dimensional states in a three-dimensional six-photon system. We exploit the spatial mode of a single photon as the high-dimensional system, use two auxiliary entangled photons to realize a deterministic three-dimensional Bell state measurement. The fidelity of teleportation process matrix is F=0.596\pm0.037. Through this process matrix, we can prove that our teleportation is both nonclassical and genuine three dimensional. Our work paves the way to rebuild complex quantum systems remotely and to construct complex quantum networks.