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| related topics |
| {qubit, qubits, gate} |
| {state, algorithm, problem} |
| {let, theorem, proof} |
| {group, space, representation} |
| {states, state, optimal} |
| {operator, operators, space} |
| {measurement, state, measurements} |
| {entanglement, phys, rev} |
| {state, phys, rev} |
| {energy, state, states} |
| {state, states, entangled} |
| {equation, function, exp} |
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Quantum computation based on d-level cluster states
D. L. Zhou, B. Zeng, Z. Xu, C. P. Sun
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0304054
- categories:
- quant-ph
- comments:
- Revtex4, 15 pages, 3 eps figures
- doi:
- 10.1103/PhysRevA.68.062303
- arxiv_id:
- quant-ph/0304054
- created:
- 2003-04-08
- updated:
- 2003-07-08
Full article ▸
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