On Teleportation in a System of Identical Particles

TL;DR

This paper investigates how spatial degrees of freedom affect quantum teleportation of polarization states in identical photon systems, revealing the importance of momentum directions and expanding the state space for potential experimental implementations.

Contribution

It demonstrates the significance of spatial degrees of freedom in teleportation with identical particles and identifies a four-dimensional subspace analogous to Bell states.

Findings

Spatial degrees of freedom are crucial for teleportation.

A four-dimensional subspace similar to Bell states can be isolated.

Including spatial degrees increases the state space dimension.

Abstract

The teleportation of an unknown polarization state of one of the photons in a system of identical particles has been considered. It has been shown that spatial degrees of freedom, which are various directions of the momentum of three photons, are of significant importance for teleportation in the system of identical particles. The inclusion of the spatial degrees of freedom increases the dimension of single-particle state space. In view of this increase, a four-dimensional subspace of two-particle states, which is similar to the state space spanned by the Bell states in a system of two distinguishable qubits, can be separated in the experimental configuration.