dorsal/arxiv
View SchemaA More General Quantum Searching Algorithm And the Precise Formula of the Amplitude and the Non-symmetric Effects of Different Rotating Angles
| Authors | Dafa Li, Xinxin Li |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0105035 |
| URL | https://arxiv.org/abs/quant-ph/0105035 |
| DOI | 10.1016/S0375-9601(01)00498-4 |
| Journal | Published in Phys. Lett. A 287/5-6, pp304-316 |
Abstract
This paper presented two general quantum search algorithms. We derived the iterated formulas and the simpler approximate formulas and the precise formula for the amplitude in the desired state. A mathematical proof of Grover's algorithm being optimal among the algorithms with arbitrary phase rotations was given in this paper. This first reported the non-symmetric effects of different rotating angles, and gave the first-order approximate phase condition when rotating angles are different.
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"abstract": "This paper presented two general quantum search algorithms. We derived the\niterated formulas and the simpler approximate formulas and the precise formula\nfor the amplitude in the desired state. A mathematical proof of Grover\u0027s\nalgorithm being optimal among the algorithms with arbitrary phase rotations was\ngiven in this paper. This first reported the non-symmetric effects of different\nrotating angles, and gave the first-order approximate phase condition when\nrotating angles are different.",
"arxiv_id": "quant-ph/0105035",
"authors": [
"Dafa Li",
"Xinxin Li"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(01)00498-4",
"journal_ref": "Published in Phys. Lett. A 287/5-6, pp304-316",
"title": "A More General Quantum Searching Algorithm And the Precise Formula of the Amplitude and the Non-symmetric Effects of Different Rotating Angles",
"url": "https://arxiv.org/abs/quant-ph/0105035"
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