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arXiv · 0810.0470

Critically damped quantum search

Ari Mizel
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Abstract

Although measurement and unitary processes can accomplish any quantum evolution in principle, thinking in terms of dissipation and damping can be powerful. We propose a modification of Grover's algorithm in which the idea of damping plays a natural role. Remarkably, we have found that there is a critical damping value that divides between the quantum $O(\sqrt{N})$ and classical O(N) search regimes. In addition, by allowing the damping to vary in a fashion we describe, one obtains a fixed-point quantum search algorithm in which ignorance of the number of targets increases the number of oracle queries only by a factor of 1.5.

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Ari Mizel. 2008-10-02. Critically damped quantum search. https://doi.org/10.1103/physrevlett.102.150501

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