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International Nano-Optoelectronics Workshop

Experimental generation of four-mode continuous-variable cluster states

Seiji Armstrong, Mitsuyoshi Yukawa, Ryuji Ukai, Jun–ichi Yoshikawa, Hidehiro Yonezawa, Peter van Loock, Akira Furusawa

Published Aug 1, 2008• 21 citations
Publisher

Abstract

Continuous-variable Gaussian cluster states are a potential resource for universal quantum computation. Here we report on the optical generation and theoretical verification of three different kinds of four-mode continuous variable cluster states.
DOI
10.1109/inow.2008.4634519

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Continuous-variable Gaussian cluster states are a potential resource for universal quantum computation. They can be efficiently and unconditionally built from sources of squeezed light using beam splitters. Here we report on the generation of three different kinds of continuous-variable four-mode cluster states. In our realization, the resulting cluster-type correlations are such that no corrections other than simple phase-space displacements would be needed when quantum information propagates through these states. At the same time, the inevitable imperfections from the finitely squeezed resource states and from additional thermal noise are minimized, as no antisqueezing components are left in the cluster states.
Simple examples that illustrate the principles of one-way quantum computation using Gaussian continuous-variable cluster states are given. In these examples, only single-mode evolutions, realizable via linear clusters, are considered. In particular, one can focus on Gaussian single-mode transformations performed through the cluster state. These examples highlight the differences between cluster-based schemes and protocols in which special quantum states are prepared off-line and then used as a resource for the on-line computation.