Gapped Two-body Hamiltonian whose Unique Ground State is Universal for One-way Quantum Computation

TL;DR

This paper introduces a novel six-state particle state on a hexagonal lattice that serves as a universal resource for measurement-based quantum computation, with a focus on its physical realizability.

Contribution

It presents a new universal quantum resource state as the unique ground state of a two-body Hamiltonian, analyzed via its PEPS representation.

Findings

State is universal for one-way quantum computation

State is the unique ground state of a physically reasonable Hamiltonian

Method for analyzing such states using PEPS representation

Abstract

Many-body entangled quantum states studied in condensed matter physics can be primary resources for quantum information, allowing any quantum computation to be realized using measurements alone, on the state. Such a universal state would be remarkably valuable, if only it were thermodynamically stable and experimentally accessible, by virtue of being the unique ground state of a physically reasonable Hamiltonian made of two-body, nearest neighbor interactions. We introduce such a state, composed of six-state particles on a hexagonal lattice, and describe a general method for analyzing its properties based on its projected entangled pair state representation.