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AIP conference proceedings

Generation of Four-Mode Continuous-Variable Cluster States

Ryuji Ukai, Mitsuyoshi Yukawa, Seiji Armstrong, Jun–ichi Yoshikawa, Peter van Loock, Akira Furusawa, Alexander I. Lvovsky

Published Jan 1, 2009• 11 citations
Publisher

Abstract

Cluster states are sufficient resources for realizing quantum computation. Their implementations can be achieved via either discrete‐variable systems (especially qubit systems) or continuous‐variable systems. Here we report on the experimental generation of an important example of a continuous‐variable cluster state, a four‐mode linear cluster state.

DOI
10.1063/1.3131290

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Continuous-variable cluster states offer a potentially promising method of implementing a quantum computer. This paper extends and further refines theoretical foundations and protocols for experimental implementation. We give a cluster-state implementation of the cubic phase gate through photon detection, which, together with homodyne detection, facilitates universal quantum computation. In addition, we characterize the offline squeezed resources required to generate an arbitrary graph state through passive linear optics. Most significantly, we prove that there are universal states for which the offline squeezing per mode does not increase with the size of the cluster. Simple representations of continuous-variable graph states are introduced to analyze graph state transformations under measurement and the existence of universal continuous-variable resource states.