Introduction

Abstract

In this chapter, we briefly review one-way quantum computation as well as the background of this thesis. A measurement-based model of quantum computation, referred to as “one-way quantum computation”, is proposed as an alternative to the standard circuit model of quantum computation. One-way quantum computation can be considered as an application of quantum teleportation to quantum computation. Once a sufficiently large entangled state called a “cluster state” is prepared in advance, an arbitrary quantum computation can be implemented by a succession of measurements on the cluster state. Recently, generation of up to six-mode cluster states and subsequent demonstrations of single-mode Gaussian operations are reported. In this thesis, we show the first successful demonstration of two-mode Gaussian operations in one-way quantum computation. As a next step for many-mode operations, we discuss how one-way quantum computation can be implemented using temporal-mode cluster states.