Achievable Qubit Rates for Quantum Information Wires

TL;DR

This paper presents a protocol for quantum communication through a one-dimensional lattice system, achieving a qubit rate proportional to N^(-1/3), effective even with interactions like t-J and Hubbard models.

Contribution

It introduces a novel protocol that attains a specific qubit rate scaling in quantum wires, applicable to interacting electron systems.

Findings

Achieves qubit rate proportional to N^(-1/3)

Protocol works with t-J and Hubbard models

Effective quantum communication in 1D lattice systems

Abstract

Suppose Alice and Bob have access to two separated regions, respectively, of a system of electrons moving in the presence of a regular one-dimensional lattice of binding atoms. We consider the problem of communicating as much quantum information, as measured by the qubit rate, through this quantum information wire as possible. We describe a protocol whereby Alice and Bob can achieve a qubit rate for these systems which is proportional to N^(-1/3) qubits per unit time, where N is the number of lattice sites. Our protocol also functions equally in the presence of interactions modelled via the t-J and Hubbard models.