{"title":"Jordan-Wigner formalism for arbitrary 2-input 2-output matchgates and their classical simulation","authors":"JozsaRichard, MiyakeAkimasa, StrelchukSergii","doi":"10.5555/2871411.2871412","DOIUrl":null,"url":null,"abstract":"In Valiant's matchgate theory, 2-input 2-output matchgates are 4 × 4 matrices that satisfy ten so-called matchgate identities. We prove that the set of all such matchgates (including non-unitary an...","PeriodicalId":54524,"journal":{"name":"Quantum Information & Computation","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2015-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quantum Information & Computation","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.5555/2871411.2871412","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
引用次数: 0
Abstract
In Valiant's matchgate theory, 2-input 2-output matchgates are 4 × 4 matrices that satisfy ten so-called matchgate identities. We prove that the set of all such matchgates (including non-unitary an...
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Quantum Information & Computation provides a forum for distribution of information in all areas of quantum information processing. Original articles, survey articles, reviews, tutorials, perspectives, and correspondences are all welcome. Computer science, physics and mathematics are covered. Both theory and experiments are included. Illustrative subjects include quantum algorithms, quantum information theory, quantum complexity theory, quantum cryptology, quantum communication and measurements, proposals and experiments on the implementation of quantum computation, communications, and entanglement in all areas of science including ion traps, cavity QED, photons, nuclear magnetic resonance, and solid-state proposals.
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