{"title":"Quantum Computation","authors":"Jaden Pieper, M. Lladser","doi":"10.4249/scholarpedia.52499","DOIUrl":null,"url":null,"abstract":"• A small set of gates (e.g. AND , OR , NOT ) can be used to compute an arbitrary classical function. We say that such a set of gates is universal for classical computation. • Any unitary operation can be approximated to arbitrary accuracy using Hadamard, phase,CNOT , and π/8 gates. You may wonder why the phase gate appears in this list, since it can be constructed from two π/8 gates; it is included because of its natural role in the fault-tolerant constructions","PeriodicalId":74760,"journal":{"name":"Scholarpedia journal","volume":"13 1","pages":"52499"},"PeriodicalIF":0.0000,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Scholarpedia journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4249/scholarpedia.52499","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 9
Abstract
• A small set of gates (e.g. AND , OR , NOT ) can be used to compute an arbitrary classical function. We say that such a set of gates is universal for classical computation. • Any unitary operation can be approximated to arbitrary accuracy using Hadamard, phase,CNOT , and π/8 gates. You may wonder why the phase gate appears in this list, since it can be constructed from two π/8 gates; it is included because of its natural role in the fault-tolerant constructions
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