2024-07-19T22:10:30Zhttps://ipsj.ixsq.nii.ac.jp/ej/?action=repository_oaipmhoai:ipsj.ixsq.nii.ac.jp:000105042022-10-21T05:24:51Z00581:00625:00628
Quantum Biased OraclesQuantum Biased Oracleseng特集：量子計算と量子情報http://id.nii.ac.jp/1001/00010504/Journal Articlehttps://ipsj.ixsq.nii.ac.jp/ej/?action=repository_action_common_download&item_id=10504&item_no=1&attribute_id=1&file_no=1Copyright (c) 2005 by the Information Processing Society of Japan招待論文Kyoto University Japan Science and Technology CorporationTokyo Institute of TechnologyNara Institute of Science and TechnologyKazuo, IwamaAkinori, KawachiShigeru, YamashitaThis paper reviews researches on quantum oracle computations when oracles are not perfect i.e. they may return wrong answers. We call such oracles biased oracles and discuss the formal model of them. Then we provide an intuitive explanation how quantum search with biased oracles by Hoyer et al. (2003) works. We also review the method by Buhrman et al. (2005) to obtain all the answers of a quantum biased oracle without any overhead compared to the perfect oracle case. Moreover we discuss two special cases of quantum biased oracles and their interesting properties which are not found in the classical corresponding cases. Our discussion implies that the model of quantum biased oracle adopted by the existing researches is natural.This paper reviews researches on quantum oracle computations when oracles are not perfect,i.e., they may return wrong answers. We call such oracles biased oracles, and discuss the formal model of them. Then we provide an intuitive explanation how quantum search with biased oracles by Hoyer, et al. (2003) works. We also review the method, by Buhrman, et al. (2005), to obtain all the answers of a quantum biased oracle without any overhead compared to the perfect oracle case. Moreover, we discuss two special cases of quantum biased oracles and their interesting properties, which are not found in the classical corresponding cases. Our discussion implies that the model of quantum biased oracle adopted by the existing researches is natural.AN00116647情報処理学会論文誌4610240024082005-10-151882-77642009-06-29