Measurement-Based Quantum Computing with Valence-Bond-Solids

TL;DR

This paper reviews recent progress in measurement-based quantum computing using valence-bond-solid states as resource states, highlighting their potential as ground states in physical systems and bridging quantum information with condensed matter physics.

Contribution

It provides a pedagogical overview of how VBS states can serve as resource states for MBQC, emphasizing recent interdisciplinary advances.

Findings

VBS states can serve as resource states for MBQC

Recent identification of VBS states as ground states in spin lattices

Interdisciplinary research connecting quantum information and condensed matter

Abstract

Measurement-based quantum computing (MBQC) is a model of quantum computing that proceeds by sequential measurements of individual spins in an entangled resource state. However, it remains a challenge to produce efficiently such resource states. Would it be possible to generate these states by simply cooling a quantum many-body system to its ground state? Cluster states, the canonical resource states for MBQC, do not occur naturally as unique ground states of physical systems. This inherent hurdle has led to a significant effort to identify alternative resource states that appear as ground states in spin lattices. Recently, some interesting candidates have been identified with various valence-bond-solid (VBS) states. In this review, we provide a pedagogical introduction to recent progress regarding MBQC with VBS states as possible resource states. This study has led to an interesting interdisciplinary research area at the interface of quantum information science and condensed matter physics.