DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cai, Tony | ko |
dc.contributor.author | Kim, Donggyu | ko |
dc.contributor.author | Wang, Yazhen | ko |
dc.contributor.author | Yuan, Ming | ko |
dc.contributor.author | Zhou, Harrison H. | ko |
dc.date.accessioned | 2017-09-08T06:01:59Z | - |
dc.date.available | 2017-09-08T06:01:59Z | - |
dc.date.created | 2017-09-01 | - |
dc.date.created | 2017-09-01 | - |
dc.date.issued | 2016-04 | - |
dc.identifier.citation | ANNALS OF STATISTICS, v.44, no.2, pp.682 - 712 | - |
dc.identifier.issn | 0090-5364 | - |
dc.identifier.uri | http://hdl.handle.net/10203/225857 | - |
dc.description.abstract | Quantum state tomography aims to determine the state of a quantum system as represented by a density matrix. It is a fundamental task in modern scientific studies involving quantum systems. In this paper, we study estimation of high-dimensional density matrices based on Pauli measurements. In particular, under appropriate notion of sparsity, we establish the minimax optimal rates of convergence for estimation of the density matrix under both the spectral and Frobenius norm losses; and show how these rates can be achieved by a common thresholding approach. Numerical performance of the proposed estimator is also investigated. | - |
dc.language | English | - |
dc.publisher | INST MATHEMATICAL STATISTICS | - |
dc.subject | HIGH-DIMENSIONAL MATRICES | - |
dc.subject | LOW-RANK MATRICES | - |
dc.subject | OPTIMAL RATES | - |
dc.subject | COMPLETION | - |
dc.subject | PENALIZATION | - |
dc.subject | CONVERGENCE | - |
dc.subject | COMPUTATION | - |
dc.subject | ESTIMATORS | - |
dc.subject | SELECTION | - |
dc.subject | RECOVERY | - |
dc.title | OPTIMAL LARGE-SCALE QUANTUM STATE TOMOGRAPHY WITH PAULI MEASUREMENTS | - |
dc.type | Article | - |
dc.identifier.wosid | 000372594300009 | - |
dc.identifier.scopusid | 2-s2.0-84963686168 | - |
dc.type.rims | ART | - |
dc.citation.volume | 44 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 682 | - |
dc.citation.endingpage | 712 | - |
dc.citation.publicationname | ANNALS OF STATISTICS | - |
dc.identifier.doi | 10.1214/15-AOS1382 | - |
dc.contributor.localauthor | Kim, Donggyu | - |
dc.contributor.nonIdAuthor | Cai, Tony | - |
dc.contributor.nonIdAuthor | Wang, Yazhen | - |
dc.contributor.nonIdAuthor | Yuan, Ming | - |
dc.contributor.nonIdAuthor | Zhou, Harrison H. | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Compressed sensing | - |
dc.subject.keywordAuthor | density matrix | - |
dc.subject.keywordAuthor | Pauli matrices | - |
dc.subject.keywordAuthor | quantum measurement | - |
dc.subject.keywordAuthor | quantum probability | - |
dc.subject.keywordAuthor | quantum statistics | - |
dc.subject.keywordAuthor | sparse representation | - |
dc.subject.keywordAuthor | spectral norm | - |
dc.subject.keywordAuthor | minimax estimation | - |
dc.subject.keywordPlus | HIGH-DIMENSIONAL MATRICES | - |
dc.subject.keywordPlus | LOW-RANK MATRICES | - |
dc.subject.keywordPlus | OPTIMAL RATES | - |
dc.subject.keywordPlus | COMPLETION | - |
dc.subject.keywordPlus | PENALIZATION | - |
dc.subject.keywordPlus | CONVERGENCE | - |
dc.subject.keywordPlus | COMPUTATION | - |
dc.subject.keywordPlus | ESTIMATORS | - |
dc.subject.keywordPlus | SELECTION | - |
dc.subject.keywordPlus | RECOVERY | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.