Testing quantum states for purity
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Jupp, Peter E. | - |
dc.contributor.author | Kim, Peter T. | - |
dc.contributor.author | Koo, Ja-Yong | - |
dc.contributor.author | Pasieka, Aron | - |
dc.date.accessioned | 2021-09-07T00:00:01Z | - |
dc.date.available | 2021-09-07T00:00:01Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2012 | - |
dc.identifier.issn | 0035-9254 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/109348 | - |
dc.description.abstract | . The simplest states of finite quantum systems are the pure states. The paper is motivated by the need to test statistically whether or not a given physical state is pure. Because the pure states lie in the boundary of the set of all states, the usual regularity conditions that justify the standard large sample approximations to the null distributions of the deviance and the score statistic are not satisfied. For a large class of quantum experiments that produce Poisson count data, the paper uses an enlargement of the parameter space of all states to develop likelihood ratio and score tests of purity. The asymptotic null distributions of the corresponding statistics are ?2. The tests are illustrated by the analysis of some quantum experiments involving unitarily correctable codes. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | WILEY-BLACKWELL | - |
dc.title | Testing quantum states for purity | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Koo, Ja-Yong | - |
dc.identifier.doi | 10.1111/j.1467-9876.2012.01040.x | - |
dc.identifier.scopusid | 2-s2.0-84867199807 | - |
dc.identifier.wosid | 000309458300005 | - |
dc.identifier.bibliographicCitation | JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, v.61, pp.753 - 763 | - |
dc.relation.isPartOf | JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS | - |
dc.citation.title | JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS | - |
dc.citation.volume | 61 | - |
dc.citation.startPage | 753 | - |
dc.citation.endPage | 763 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Statistics & Probability | - |
dc.subject.keywordAuthor | Likelihood ratio test | - |
dc.subject.keywordAuthor | Maximum likelihood estimation | - |
dc.subject.keywordAuthor | Multinomial distribution | - |
dc.subject.keywordAuthor | Poisson distribution | - |
dc.subject.keywordAuthor | Quantum mechanics | - |
dc.subject.keywordAuthor | Qubit | - |
dc.subject.keywordAuthor | Score test | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
(02841) 서울특별시 성북구 안암로 14502-3290-1114
COPYRIGHT © 2021 Korea University. All Rights Reserved.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.