Universal quantum computer from a quantum magnet

TL;DR

This paper demonstrates that a specific spin-3/2 Hamiltonian with two-body interactions has a unique, gapped ground state suitable for universal measurement-based quantum computation, advancing condensed matter approaches.

Contribution

It introduces a new gapped Hamiltonian with a unique ground state capable of universal quantum computation using only single-spin measurements.

Findings

Hamiltonian has a unique ground state

Ground state is suitable for measurement-based quantum computation

Hamiltonian remains gapped regardless of system size

Abstract

We show that a local Hamiltonian of spin-3/2 particles with only two-body nearest-neighbor Affleck-Kennedy-Lieb-Tasaki and exchange-type interactions has an unique ground state, which can be used to implement universal quantum computation merely with single-spin measurements. We prove that the Hamiltonian is gapped, independent of the system size. Our result provides a further step towards utilizing systems with condensed matter-type interactions for measurement-based quantum computation.