Optimization of networks for measurement-based quantum computation

Abstract

In this work we provide a recipe for mitigating the effects of finite squeezing, which affect the production of cluster states and the result of a measurement-based quantum computation in the continuous variable regime. To this aim, we derive a compact expression for the unitary matrix which describes the linear optics network that generates a certain cluster state from independently squeezed inputs. We show that this possesses tunable degrees of freedom, which can be exploited to minimize the noise effects. These strategies are readily implementable by several experimental groups.