Perturbations can enhance qauntum search

Details Perturbations can enhance qauntum search Perturbations can enhance qauntum search

2002-11-28

arxiv.org/abs/quant-ph/0211186v2

Int. J. Theor. Phys. Vol. 42, Issue 9, 2075-2080 (2003)

Physics

Quantum Physics

4 pages, revtex, published version

Scientific paper

In general, a quantum algorithm wants to avoid decoherence or perturbation, since such factors may cause errors in the algorithm. In this letter, we will supply the answer to the interesting question: can the factors seemingly harmful to a quantum algorithm(for example, perturbations) enhance the algorithm? We show that some perturbations to the generalized quantum search Hamiltonian can reduce the running time and enhance the success probability. We also provide the narrow bound to the perturbation which can be beneficial to quantum search. In addition, we show that the error induced by a perturbation on the Farhi and Gutmann Hamiltonian can be corrected by another perturbation.

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