منابع مشابه
Quantum Counting
We study some extensions of Grover’s quantum searching algorithm. First, we generalize the Grover iteration in the light of a concept called amplitude amplification. Then, we show that the quadratic speedup obtained by the quantum searching algorithm over classical brute force can still be obtained for a large family of search problems for which good classical heuristics exist. Finally, as our ...
متن کاملEvery laboratory with a fluorescence microscope should consider counting molecules
Protein numbers in cells determine rates of biological processes, influence the architecture of cellular structures, reveal the stoichiometries of protein complexes, guide in vitro biochemical reconstitutions, and provide parameter values for mathematical modeling. The purpose of this essay is to increase awareness of methods for counting protein molecules using fluorescence microscopy and enco...
متن کاملApproximate Counting and Quantum Computation
Motivated by the result that an ‘approximate’ evaluation of the Jones polynomial of a braid at a 5 root of unity can be used to simulate the quantum part of any algorithm in the quantum complexity class BQP, and results relating BQP to the counting class GapP, we introduce a form of additive approximation which can be used to simulate a function in BQP. We show that all functions in the classes...
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We define counting classes #BPP and #BQP as natural extensions of the classical well-studied one #P to the randomized and quantum cases. It is then shown that P#P = P#BQP.
متن کاملCounting by quantum eigenvalue estimation
For every \computation" there corresponds the physical task of manipulating a starting state into an output state with a desired property. As the classical theory of physics has been replaced by quantum physics, it is interesting to consider the capabilities of a computer that can exploit the distinctively quantum features of nature. The extra capabilities seem enormous. For example, with only ...
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ژورنال
عنوان ژورنال: The Journal of Physiology
سال: 1972
ISSN: 0022-3751
DOI: 10.1113/jphysiol.1972.sp009838