Quantum computation based on d-level cluster states

Details Quantum computation based on d-level cluster states Quantum computation based on d-level cluster states

2003-04-08

arxiv.org/abs/quant-ph/0304054v2

Physics

Quantum Physics

Revtex4, 15 pages, 3 eps figures

Scientific paper

10.1103/PhysRevA.68.062303

The concept of qudit (a d-level system) cluster state is proposed by generalizing the qubit cluster state (Phys. Rev. Lett. \textbf{86}, 910 (2001)) according to the finite dimensional representations of quantum plane algebra. We demonstrate their quantum correlations and prove a theorem which guarantees the availability of the qudit cluster states in quantum computation. We explicitly construct the network to show the universality of the one-way computer based on the defined qudit cluster states and single-qudit measurement. And the corresponding protocol of implementing one-way quantum computer can be suggested with the high dimensional "Ising" model which can be found in many magnetic systems.

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