Maximally entangled gapped ground state of lattice fermions

TL;DR

This paper demonstrates that the gapped ground state of non-interacting lattice fermions can serve as a universal resource for measurement-based quantum computation, leveraging fermionic indistinguishability and antisymmetry.

Contribution

It shows that a natural fermionic ground state can be used as a universal quantum resource, linking condensed matter physics with quantum information processing.

Findings

Fermionic ground states can form cluster states for quantum computing

Entanglement arises from fermionic antisymmetry, not interactions

Potential for natural quantum information resources in matter

Abstract

Entanglement between the constituents of a quantum system is an essential resource in the implementation of many quantum processes and algorithms. Indeed, universal quantum computation is possible by measuring individual qubits comprising highly entangled cluster states. In this work it is shown that the unique gapped ground state of non-interacting fermions hopping on a specially prepared lattice is equivalent to a cluster state, where the entanglement between qubits results solely by fermionic indistinguishability and antisymmetry. A deterministic strategy for universal measurement-based quantum computation with this resource is described. Because most matter is composed of fermions, these results suggest that resources for quantum information processing might be generic in Nature.