Knitting distributed cluster state ladders with spin chains

TL;DR

This paper explores how spin chains can be used to create distributed cluster states for quantum communication, analyzing the effects of errors and decoherence on the process.

Contribution

It introduces a method for knitting cluster states using spin chains designed for perfect quantum state transfer, considering realistic error effects.

Findings

Cluster states can be generated through natural evolution of spin chains.

Errors in injection and extraction impact the fidelity of the generated states.

Decoherence and fabrication errors significantly affect the process.

Abstract

There has been much recent study on the application of spin chains to quantum state transfer and communication. Here we discuss the utilisation of spin chains (set up for perfect quantum state transfer) for the knitting of distributed cluster state structures, between spin qubits repeatedly injected and extracted at the ends of the chain. The cluster states emerge from the natural evolution of the system across different excitation number sectors. We discuss the decohering effects of errors in the injection and extraction process as well as the effects of fabrication and random errors.