Dissipative decoherence in the Grover algorithm
Quantum Physics
2007-05-23 v1 Other Condensed Matter
Chaotic Dynamics
Abstract
Using the methods of quantum trajectories we study effects of dissipative decoherence on the accuracy of the Grover quantum search algorithm. The dependence on the number of qubits and dissipation rate are determined and tested numerically with up to 16 qubits. As a result, our numerical and analytical studies give the universal law for decay of fidelity and probability of searched state which are induced by dissipative decoherence effects. This law is in agreement with the results obtained previously for quantum chaos algorithms.
Cite
@article{arxiv.quant-ph/0511010,
title = {Dissipative decoherence in the Grover algorithm},
author = {O. V. Zhirov and D. L. Shepelyansky},
journal= {arXiv preprint arXiv:quant-ph/0511010},
year = {2007}
}
Comments
4 pages, 5 figs, EPJ style, research at http://www.quantware.ups-tlse.fr