Quantum spin systems for measurement-based quantum computation

TL;DR

This paper reviews how measurement-based quantum computation utilizes entangled states and explores advanced topics beyond graph states, including AKLT and 2D symmetry-protected topological states.

Contribution

It provides a pedagogical overview of measurement-based quantum computation and discusses recent developments beyond traditional graph states.

Findings

Entanglement is the key resource for measurement-based quantum computation.

AKLT states and 2D symmetry-protected topological states expand the types of resource states.

The paper highlights recent progress in understanding complex entangled states for quantum computing.

Abstract

Measurement-based quantum computation is different from other approaches for quantum computation, in that everything needs to be done is only local measurement on a certain entangled state. It thus uses entanglement as the resource that drives computation. We give a pedagogical treatment on the basics, and then review some selected developments beyond graph states, including Affleck-Kennedy-Lieb-Tasaki states and more recent 2D symmetry-protected topological states.