0107010v3

related topics
{cos, sin, state}
{algorithm, log, probability}
{let, theorem, proof}

The Precise Formula in a Sine Function Form of the norm of the Amplitude and the Necessary and Sufficient Phase Condition for Any Quantum Algorithm with Arbitrary Phase Rotations

Dafa Li

abstract: In this paper we derived the precise formula in a sine function form of the norm of the amplitude in the desired state, and by means of he precise formula we presented the necessary and sufficient phase condition for any quantum algorithm with arbitrary phase rotations. We also showed that the phase condition: identical rotation angles, is a sufficient but not a necessary phase condition.

oai_identifier:
oai:arXiv.org:quant-ph/0107010
categories:
quant-ph
comments:
16 pages. Modified some English sentences and some proofs. Removed a table. Corrected the formula for kol on page 10. No figures
arxiv_id:
quant-ph/0107010
journal_ref:
The revised version was published in TMPH(theoretical and methematical physics): vol 144 (3) 1279-1287(2005).
created:
2001-07-03
updated:
2001-10-13

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