Universal quantum computation with continuous-variable cluster states.

By Nicolas C. Menicucci, P. van Loock, Mile Gu, Christian Weedbrook, Timothy C. Ralph, Morten Nielsen. Physical Review Letters, 2006

668 citations recorded by the source corpus.

We describe a generalization of the cluster-state model of quantum computation to continuous-variable systems, along with a proposal for an optical implementation using squeezed-light sources, linear optics, and homodyne detection. For universal quantum computation, a nonlinear element is required. This can be satisfied by adding to the toolbox any single-mode non-Gaussian measurement, while the initial cluster state itself remains Gaussian. Homodyne detection alone suffices to perform an arbitrary multimode Gaussian transformation via the cluster state. We also propose an experiment to demonstrate cluster-based error reduction when implementing Gaussian operations.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/4b565531ed9e77788370b7e69379036139390e8e

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Citations in the corpus

Ultra-large-scale continuous-variable cluster states multiplexed in the time domain (2013, methodology): “We deterministically generate and fully characterise a continuous-variable cluster state [8, 9] containing more than 10,000 entangled modes [1].”
Fault-tolerant measurement-based quantum computing with continuous-variable cluster states. (2013, background): “When it comes to measurement-based QC, optical CV cluster states [5, 6] oﬀer a distinct advantage over their optical-qubit counterparts [7, 8] because they are much easier to make experimentally [9–11].”
Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer (2020, methodology): “The Gaussian resource is provided by easy-to-generate CV cluster states, which are multi-mode Gaussian states [8].”
Hybrid discrete- and continuous-variable quantum information (2014, background): “The alternative to circuit based quantum computing is the measurement-based approach exploiting entangled cluster states [97, 98].”
Roadmap on structured light (2016, background): “in squeezed light,whereas they can only be created probabilistically with qubits [173].”
Quantum interface between light and atomic ensembles (2008, background): “Yet other proposals, such as linear optics quantum computing which uses off-line entanglement resources require only the retrieval of the atomic state onto light but it has to be rather efficient and with high fidelity (Menicucci et al., 2006).”