{"title":"非门的根源","authors":"A. Vos, S. Baerdemacker","doi":"10.1109/ISMVL.2012.14","DOIUrl":null,"url":null,"abstract":"The quantum gates called 'k th root of NOT' and 'controlled k th root of NOT' can be applied to synthesize circuits, both classical reversible circuits and quantum circuits. Such circuits, acting on w qubits, fill a (2w-1)2-dimensional subspace of the (2w)2 -dimensional space U(2w) of the 2w × 2w unitary matrices and thus describe computers situated between classical reversible computers and full quantum computers.","PeriodicalId":284925,"journal":{"name":"IEEE International Symposium on Multiple-Valued Logic","volume":"322 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"The Roots of the NOT Gate\",\"authors\":\"A. Vos, S. Baerdemacker\",\"doi\":\"10.1109/ISMVL.2012.14\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The quantum gates called 'k th root of NOT' and 'controlled k th root of NOT' can be applied to synthesize circuits, both classical reversible circuits and quantum circuits. Such circuits, acting on w qubits, fill a (2w-1)2-dimensional subspace of the (2w)2 -dimensional space U(2w) of the 2w × 2w unitary matrices and thus describe computers situated between classical reversible computers and full quantum computers.\",\"PeriodicalId\":284925,\"journal\":{\"name\":\"IEEE International Symposium on Multiple-Valued Logic\",\"volume\":\"322 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-05-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE International Symposium on Multiple-Valued Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2012.14\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2012.14","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The quantum gates called 'k th root of NOT' and 'controlled k th root of NOT' can be applied to synthesize circuits, both classical reversible circuits and quantum circuits. Such circuits, acting on w qubits, fill a (2w-1)2-dimensional subspace of the (2w)2 -dimensional space U(2w) of the 2w × 2w unitary matrices and thus describe computers situated between classical reversible computers and full quantum computers.