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Cluster-state quantum computation

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arxiv quant-ph/0504097 v2 pith:V3SSHKV4 submitted 2005-04-13 quant-ph

classification quant-ph
keywords quantumstatecomputationclustercluster-statemeasurementsmodelproof
verification ladder T0 review T1 audit T2 compute T3 formal

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This article is a short introduction to and review of the cluster-state model of quantum computation, in which coherent quantum information processing is accomplished via a sequence of single-qubit measurements applied to a fixed quantum state known as a cluster state. We also discuss a few novel properties of the model, including a proof that the cluster state cannot occur as the exact ground state of any naturally occurring physical system, and a proof that measurements on any quantum state which is linearly prepared in one dimension can be efficiently simulated on a classical computer, and thus are not candidates for use as a substrate for quantum computation.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quantum ($t$,$n$) Threshold Multi-Secret Sharing based on Cluster States

    quant-ph 2025-05 reject novelty 6.0 of 10

    The authors present a (t,n) threshold quantum multi-secret sharing protocol based on cluster states and Lagrange interpolation, but the security proof for dishonest reconstructors relies on an incorrect identity.

  2. Entanglement in Directed Graph States

    quant-ph 2025-05 conditional novelty 4.0 of 10

    For graph states made of identical controlled-phase gates on |+> qubits, the Entanglement Distance per qubit equals 1 minus the average of cos(θ) to the power twice the vertex degree.

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