Quantum computation based ond-level cluster state
Di Zhou, Bei Zeng, Zhongjie Xu +1 more
The concept of a qudit (a d-level system) cluster state is proposed by generalizing the qubit cluster state [Phys. Rev. Lett. 86, 910 (2001)] to higher-dimensional Hilbert space 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. A protocol of implementing one-way quantum computer is suggested using the high-dimensional ``Ising'' model which can be found in many magnetic systems.
arXiv:quant-ph/0304054•Physical Review A•Dec 2, 2003•166 citations