Adiabatic Cluster State Quantum Computing

TL;DR

This paper introduces a measurement-free adiabatic quantum computing model based on cluster states, potentially simplifying implementation by avoiding intermediate measurements used in one-way quantum computation.

Contribution

It proposes a novel adiabatic model that replaces measurements with Hamiltonian deformation, bridging one-way QC and adiabatic approaches.

Findings

Provides a new measurement-free adiabatic QC scheme

Leverages one-way QC results for adiabatic implementation

Potentially more feasible quantum computing approach

Abstract

Models of quantum computation are important because they change the physical requirements for achieving universal quantum computation (QC). For example, one-way QC requires the preparation of an entangled "cluster" state followed by adaptive measurement on this state, a set of requirements which is different from the standard quantum circuit model. Here we introduce a model based on one-way QC but without measurements (except for the final readout), instead using adiabatic deformation of a Hamiltonian whose initial ground state is the cluster state. This opens the possibility to use the copious results from one-way QC to build more feasible adiabatic schemes.