Building Gaussian Cluster States by Linear Optics

Abstract

The linear optical creation of Gaussian cluster states, a potential resource for universal quantum computation, is investigated. We show that for any Gaussian cluster state, the canonical generation scheme in terms of QND-type interactions, can be entirely replaced by off-line squeezers and beam splitters. Moreover, we find that, in terms of squeezing resources, the canonical states are rather wasteful and we propose a systematic way to create cheaper states. As an application, we consider Gaussian cluster computation in multiple-rail encoding. This encoding may reduce errors due to finite squeezing, even when the extra rails are achieved through off-line squeezing and linear optics.

5 Pages, 3 figures

References in corpus (5)

• Multi-party entanglement in graph states
• Universal Quantum Computation with Continuous-Variable Cluster States
• Resource-efficient linear optical quantum computation
• Experimental entanglement of six photons in graph states
• Generic Entanglement and Standard Form for N-mode Pure Gaussian States

Cited by in corpus (9)

• One-Way Quantum Computing in the Optical Frequency Comb
• Experimental generation of four-mode continuous-variable cluster states
• The Optical Frequency Comb as a One-Way Quantum Computer
• Generation of pure continuous-variable entangled cluster states of four separate atomic ensembles in a ring cavity
• Quantum Teamwork for Unconditional Multiparty Communication with Gaussian States
• Anyonic statistics with continuous variables
• Graphical description of local Gaussian operations for continuous-variable weighted graph states
• Local complementation rule for continuous-variable four-mode unweighted graph states
• Quantum Cloning of Continuous Variable Entangled States