Pretty Good State Transfer of Multiple Qubit States on Paths

TL;DR

This paper investigates the conditions under which multiple qubit states can be approximately transferred along spin chains, providing models and specific path families where such transfer is feasible based on eigenvalue analysis.

Contribution

It introduces a model for pretty good state transfer of arbitrary states on unmodulated XX spin chains and identifies path families enabling this transfer.

Findings

Identifies conditions for pretty good state transfer based on eigenvalue support.

Provides specific path families suitable for multiple qubit state transfer.

Offers a framework for analyzing state transfer in quantum spin chains.

Abstract

We discuss pretty good state transfer of multiple qubit states and provide a model for considering state transfer of arbitrary states on unmodulated XX-type spin chains. We then provide families of paths and initial states for which we can determine whether there is pretty good state transfer based on the eigenvalue support of the initial state.