{"title":"搜索有序列表的量子算法的更好下界","authors":"A. Ambainis","doi":"10.1109/SFFCS.1999.814606","DOIUrl":null,"url":null,"abstract":"We show that any quantum algorithm searching an ordered list of n elements needs to examine at least (log,n)/12-O(1) of them. Classically, log/sub 2/ n queries are both necessary and sufficient. This shows that quantum algorithms can achieve only a constant speedup for this problem.","PeriodicalId":385047,"journal":{"name":"40th Annual Symposium on Foundations of Computer Science (Cat. No.99CB37039)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1999-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"46","resultStr":"{\"title\":\"A better lower bound for quantum algorithms searching an ordered list\",\"authors\":\"A. Ambainis\",\"doi\":\"10.1109/SFFCS.1999.814606\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that any quantum algorithm searching an ordered list of n elements needs to examine at least (log,n)/12-O(1) of them. Classically, log/sub 2/ n queries are both necessary and sufficient. This shows that quantum algorithms can achieve only a constant speedup for this problem.\",\"PeriodicalId\":385047,\"journal\":{\"name\":\"40th Annual Symposium on Foundations of Computer Science (Cat. No.99CB37039)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-02-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"46\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"40th Annual Symposium on Foundations of Computer Science (Cat. No.99CB37039)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SFFCS.1999.814606\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"40th Annual Symposium on Foundations of Computer Science (Cat. No.99CB37039)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SFFCS.1999.814606","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A better lower bound for quantum algorithms searching an ordered list
We show that any quantum algorithm searching an ordered list of n elements needs to examine at least (log,n)/12-O(1) of them. Classically, log/sub 2/ n queries are both necessary and sufficient. This shows that quantum algorithms can achieve only a constant speedup for this problem.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
