%0 Generic %1 arXiv:quant-ph/0610105 %A Ding, Shengchao %A Jin, Zhi %A Yang, Qing %D 2008 %K algorithms, genetic programming %T Evolving Quantum Oracles with Hybrid Quantum-inspired Evolutionary Algorithm %U http://arxiv.org/PS_cache/quant-ph/pdf/0610/0610105v1.pdf %X Quantum oracles play key roles in the studies of quantum computation and quantum information. But implementing quantum oracles efficiently with universal quantum gates is a hard work. Motivated by genetic programming, this paper proposes a novel approach to evolve quantum oracles with a hybrid quantum-inspired evolutionary algorithm. The approach codes quantum circuits with numerical values and combines the cost and correctness of quantum circuits into the fitness function. To speed up the calculation of matrix multiplication in the evaluation of individuals, a fast algorithm of matrix multiplication with Kronecker product is also presented. The experiments show the validity and the effects of some parameters of the presented approach. And some characteristics of the novel approach are discussed too.

@misc{arXiv:quant-ph/0610105, abstract = {Quantum oracles play key roles in the studies of quantum computation and quantum information. But implementing quantum oracles efficiently with universal quantum gates is a hard work. Motivated by genetic programming, this paper proposes a novel approach to evolve quantum oracles with a hybrid quantum-inspired evolutionary algorithm. The approach codes quantum circuits with numerical values and combines the cost and correctness of quantum circuits into the fitness function. To speed up the calculation of matrix multiplication in the evaluation of individuals, a fast algorithm of matrix multiplication with Kronecker product is also presented. The experiments show the validity and the effects of some parameters of the presented approach. And some characteristics of the novel approach are discussed too.}, added-at = {2008-06-19T17:35:00.000+0200}, author = {Ding, Shengchao and Jin, Zhi and Yang, Qing}, biburl = {https://www.bibsonomy.org/bibtex/215a821d1655bc3b1f3745d006743a32c/brazovayeye}, howpublished = {arXiv}, interhash = {66749736b63e1c7e806b417b4f8762d0}, intrahash = {15a821d1655bc3b1f3745d006743a32c}, keywords = {algorithms, genetic programming}, month = {13 October}, note = {arXiv:quant-ph/0610105 v1}, notes = {1 Institute of Computing Technology, Chinese Academy of Sciences 2 Academy of Mathematics and Systems Science, Chinese Academy of Sciences 3 Graduate University of the Chinese Academy of Sciences Beijing 100080, China 4 School of Computer Science and Technology, South-Central University for Nationalities, Wuhan 430074, China}, size = {9 pages}, timestamp = {2008-06-19T17:38:46.000+0200}, title = {Evolving Quantum Oracles with Hybrid Quantum-inspired Evolutionary Algorithm}, url = {http://arxiv.org/PS_cache/quant-ph/pdf/0610/0610105v1.pdf}, year = 2008 }