Classical search algorithm with resonances in N cycles

A. Romanelli and R. Donangelo

Physica A: Statistical Mechanics and its Applications, 2007, vol. 383, issue 2, 309-315

Abstract: In this work we use the wave equation to obtain a classical analogue of the quantum search algorithm and we verify that the essence of search algorithms resides in the establishment of resonances between the initial and the searched states. In particular we show that, within a set of N vibration modes, it is possible to excite the searched mode in a number of steps proportional to N.

Keywords: Quantum computation; Search algorithm; Quantum optics (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:383:y:2007:i:2:p:309-315

DOI: 10.1016/j.physa.2007.04.065

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