English

A More General Quantum Searching Algorithm And the Precise Formula of the Amplitude and the Non-symmetric Effects of Different Rotating Angles

Quantum Physics 2009-11-07 v3

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.

Keywords

Cite

@article{arxiv.quant-ph/0105035,
  title  = {A More General Quantum Searching Algorithm And the Precise Formula of the Amplitude and the Non-symmetric Effects of Different Rotating Angles},
  author = {Dafa Li and Xinxin Li},
  journal= {arXiv preprint arXiv:quant-ph/0105035},
  year   = {2009}
}

Comments

13 pages, misusing tex formatting commands in title, shorted the titles, corrected typos, added the justifications to the section 2