69,068 research outputs found
On the uniqueness of conical K\"ahler-Einstein metrics
The purpose of this paper is to prove the uniqueness of conical
K\"ahler-Einstein metrics, under the condition that the twisted
-functional is proper. This is a generalization of the author's previous
work, and we shall first investigate the uniqueness of twisted
K\"ahler-Einstein metrics, and then use these smooth perturbed solutions to
approximate the actual conical one. Finally, it will bring the uniqueness of
the limiting singular metric
A More General Quantum Searching Algorithm And the Precise Formula of the Amplitude and the Non-symmetric Effects of Different Rotating Angles
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.Comment: 13 pages, misusing tex formatting commands in title, shorted the
titles, corrected typos, added the justifications to the section
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