|
| related topics |
| {states, state, optimal} |
| {let, theorem, proof} |
| {qubit, qubits, gate} |
| {operator, operators, space} |
| {group, space, representation} |
| {information, entropy, channel} |
| {state, states, coherent} |
| {time, decoherence, evolution} |
| {error, code, errors} |
|
Quantum operation, quantum Fourier transform and semi-definite
programming
Runyao Duan, Zhengfeng Ji, Yuan Feng, Mingsheng Ying
abstract: We analyze a class of quantum operations based on a geometrical
representation of $d-$level quantum system (or qudit for short). A sufficient
and necessary condition of complete positivity, expressed in terms of the
quantum Fourier transform, is found for this class of operations. A more
general class of operations on qudits is also considered and its completely
positive condition is reduced to the well-known semi-definite programming
problem.
- oai_identifier:
- oai:arXiv.org:quant-ph/0304145
- categories:
- quant-ph
- comments:
- 16 pages
- doi:
- 10.1016/j.physleta.2004.01.045
- arxiv_id:
- quant-ph/0304145
- journal_ref:
- Phys. Lett. A 323(2004)48
- created:
- 2003-04-22
- updated:
- 2003-12-25
Full article ▸
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