Measurement-Based Quantum Computation on Two-Body Interacting Qubits with Adiabatic Evolution

TL;DR

This paper proposes a method to generate cluster states of logical qubits in spin-1/2 particles via adiabatic evolution, enabling fault-tolerant measurement-based quantum computation with two-body interactions.

Contribution

It introduces a universal approach for creating cluster states through adiabatic weakening of two-body interactions, applicable in any spatial dimension, and addresses error mitigation for fault tolerance.

Findings

Cluster states can be generated as ground states through adiabatic evolution.

Thermal and dynamical errors can be eliminated for fault-tolerant operation.

The method is applicable to any spatial dimension.

Abstract

A cluster state cannot be a unique ground state of a two-body interacting Hamiltonian. Here, we propose the creation of a cluster state of logical qubits encoded in spin-1/2 particles by adiabatically weakening two-body interactions. The proposal is valid for any spatial dimensional cluster states. Errors induced by thermal fluctuations and adiabatic evolution within finite time can be eliminated ensuring fault-tolerant quantum computing schemes.