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- W2972201104 abstract "The measurement based, or one-way, model of quantum computation for continuous variables uses a highly entangled state called a cluster state to accomplish the task of computing. Cluster states that are universal for computation are a subset of a class of states called graph states. These states are Gaussian states and therefore require that the homodyne detection (Gaussian measurement) scheme is supplemented with a non-Gaussian measurement for universal computation, a significant experimental challenge. Here we define a new non-Gaussian class of states based on hypergraphs which satisfy the requirements of the Lloyd-Braunstein criteria while restricted to a Gaussian measurement strategy. Our main result is to show that, taking advantage of the intrinsic multimode nonlinearity, a hypergraph consisting of 3-edges can be used to apply a three-mode operation to an input three-mode state. As a special case, this technique can be used to apply the cubic phase gate to a single mode." @default.
- W2972201104 created "2019-09-12" @default.
- W2972201104 creator A5029078197 @default.
- W2972201104 date "2019-12-02" @default.
- W2972201104 modified "2023-09-24" @default.
- W2972201104 title "Quantum hypergraph states in continuous variables" @default.
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- W2972201104 doi "https://doi.org/10.1103/physreva.100.062301" @default.
- W2972201104 hasPublicationYear "2019" @default.
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