A computationally universal phase of quantum matter

TL;DR

This paper introduces a new quantum phase in two dimensions that is symmetry protected and capable of universal measurement-based quantum computation, representing a significant advance in quantum information science.

Contribution

It presents the first example of a symmetry protected quantum phase with universal computational power in two dimensions.

Findings

Ground state serves as a universal resource for quantum computation

Defines a new phase with computational universality in quantum matter

First example of such a phase in symmetry protected quantum matter

Abstract

We provide the first example of a symmetry protected quantum phase that has universal computational power. Throughout this phase, which lives in spatial dimension two, the ground state is a universal resource for measurement based quantum computation.