Long Distance Entanglement and High-Dimensional Quantum Teleportation in The Fermi-Hubbard Model

TL;DR

This paper explores how the ground state of the Fermi-Hubbard model can support long-distance entanglement and enable high-fidelity quantum teleportation, analyzing physical conditions and measurement strategies for scalable quantum communication.

Contribution

It demonstrates the potential of the Fermi-Hubbard model's ground state for long-distance entanglement and quantum teleportation, highlighting measurement basis effects and stability conditions.

Findings

Maximum long-distance entanglement in Fermi-Hubbard chains

High-fidelity teleportation achievable with proper measurement basis

Conditions for scalable entanglement stability identified

Abstract

The long distance entanglement in finite size open Fermi-Hubbard chains, together with the end-to-end quantum teleportation are investigated. We show the peculiarity of the ground state of the Fermi-Hubbard model to support maximum long distance entanglement, which allows it to operate as a quantum resource for high fidelity long distance quantum teleportation. We determine the physical properties and conditions for creating scalable long distance entanglement and analyze its stability under the effect of the Coulomb interaction and the hopping amplitude. Furthermore, we show that the choice of the measurement basis in the protocol can drastically affect the fidelity of quantum teleportation and we argue that perfect information transfer can be attained by choosing an adequate basis reflecting the salient properties of the quantum channel, i.e. Hubbard projective measurements.