dorsal/arxiv
View SchemaQuantum computation based on d-level cluster states
| Authors | D. L. Zhou, B. Zeng, Z. Xu, C. P. Sun |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0304054 |
| URL | https://arxiv.org/abs/quant-ph/0304054 |
| DOI | 10.1103/PhysRevA.68.062303 |
Abstract
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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"abstract": "The concept of qudit (a d-level system) cluster state is proposed by\ngeneralizing the qubit cluster state (Phys. Rev. Lett. \\textbf{86}, 910 (2001))\naccording to the finite dimensional representations of quantum plane algebra.\nWe demonstrate their quantum correlations and prove a theorem which guarantees\nthe availability of the qudit cluster states in quantum computation. We\nexplicitly construct the network to show the universality of the one-way\ncomputer based on the defined qudit cluster states and single-qudit\nmeasurement. And the corresponding protocol of implementing one-way quantum\ncomputer can be suggested with the high dimensional \"Ising\" model which can be\nfound in many magnetic systems.",
"arxiv_id": "quant-ph/0304054",
"authors": [
"D. L. Zhou",
"B. Zeng",
"Z. Xu",
"C. P. Sun"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.062303",
"title": "Quantum computation based on d-level cluster states",
"url": "https://arxiv.org/abs/quant-ph/0304054"
},
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