Tailoring Spin Chain Dynamics for Fractional Revivals

TL;DR

This paper develops methods to re-engineer spin chains for fractional revivals, enabling the generation of complex quantum states rapidly, with a focus on creating arbitrary single-excitation states like the W state.

Contribution

It introduces new techniques to tailor spin chain dynamics for fractional revivals and arbitrary state generation, expanding the capabilities of quantum state engineering.

Findings

Spin chains can produce a wider range of fractional revivals than previously known.

High-speed generation of complex quantum states is achievable with the proposed methods.

A numerical technique for creating chains that generate arbitrary single-excitation states is demonstrated.

Abstract

The production of quantum states required for use in quantum protocols & technologies is studied by developing the tools to re-engineer a perfect state transfer spin chain so that a separable input excitation is output over multiple sites. We concentrate in particular on cases where the excitation is superposed over a small subset of the qubits on the spin chain, known as fractional revivals, demonstrating that spin chains are capable of producing a far greater range of fractional revivals than previously known, at high speed. We also provide a numerical technique for generating chains that produce arbitrary single-excitation states, such as the W state.