|
| related topics |
| {cos, sin, state} |
| {algorithm, log, probability} |
| {state, phys, rev} |
| {group, space, representation} |
| {state, algorithm, problem} |
| {qubit, qubits, gate} |
| {phase, path, phys} |
| {trap, ion, state} |
|
A novel SO(3) picture for quantum searching
Gui Lu Long, Chang Cun Tu, Yan Song Li, Wei Lin Zhang, Hai Yang Yan
abstract: An SO(3) picture of the generalized Grover's quantum searching algorithm,with
arbitrary unitary transformation and with arbitrary phase rotations, is
constructed. In this picture, any quantum search operation is a rotation in a 3
dimensional space. Exact formulas for the rotation angle and rotational axis
are given. The probability of finding the marked state is just $(z+1)/2$, where
z is the z-component of the state vector. Exact formulas for this probability
is easily obtained. The phase matching requirement and the failure of algorithm
when phase mismatches are clearly explained.
- oai_identifier:
- oai:arXiv.org:quant-ph/9911004
- categories:
- quant-ph
- comments:
- 6 pages, 2 eps figures
- arxiv_id:
- quant-ph/9911004
- created:
- 1999-11-03
Full article ▸
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