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Journal Article

Quantum computing with continuous-variable clusters

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van Loock,  Peter
van Loock Research Group, Research Groups, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Gu, M., Weedbrook, C., Menicucci, N. C., Ralph, T. C., & van Loock, P. (2009). Quantum computing with continuous-variable clusters. PHYSICAL REVIEW A, 79(6): 062318. doi:10.1103/PhysRevA.79.062318.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-6BD9-9
Abstract
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.