All Possible Coupling Schemes in XY Spin Chains for Perfect State Transfer

TL;DR

This paper presents a recursive method to find all coupling schemes in XY spin chains that enable perfect quantum state transfer without external control, facilitating experimental realization.

Contribution

It introduces a recursive procedure to construct all possible nonuniform couplings for perfect state transfer in XY spin chains, expanding the design options.

Findings

All coupling schemes for PST are obtainable with the method.

The schemes do not require external control fields.

Analytical solutions guide experimental implementation.

Abstract

We investigate quantum state transfer in XY spin chains and propose a recursive procedure to construct the nonuniform couplings of these chains with arbitrary length to achieve perfect state transfer(PST). We show that this method is capable of finding all possible coupling schemes for PST. These schemes, without external control fields, only involve preengineered couplings but not dynamical control of them, so they can be simply realized experimentally. The analytical solutions provide all information for coupling design.