File Download
  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Elementary proofs of two theorems involving arguments of eigenvalues of a product of two unitary matrices

TitleElementary proofs of two theorems involving arguments of eigenvalues of a product of two unitary matrices
Authors
Issue Date2011
PublisherSpringer. The Journal's web site is located at http://www.hindawi.com/journals/jia/index.html
Citation
Journal of Inequalities and Applications, 2011, v. 2011, article no. 18 How to Cite?
AbstractWe give elementary proofs of two theorems concerning bounds on the maximum argument of the eigenvalues of a product of two unitary matrices--one by Childs et al. [J. Mod. Phys. 47, 155 (2000)] and the other one by Chau [Quant. Inf. Comp. 11, 721 (2011)]. Our proofs have the advantages that the necessary and sufficient conditions for equalities are apparent and that they can be readily generalized to the case of infinite-dimensional unitary operators. © 2011 Chau and Lam; licensee Springer.
Persistent Identifierhttp://hdl.handle.net/10722/139652
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChau, HFen_US
dc.contributor.authorLam, YTen_US
dc.date.accessioned2011-09-23T05:52:56Z-
dc.date.available2011-09-23T05:52:56Z-
dc.date.issued2011en_US
dc.identifier.citationJournal of Inequalities and Applications, 2011, v. 2011, article no. 18en_US
dc.identifier.urihttp://hdl.handle.net/10722/139652-
dc.description.abstractWe give elementary proofs of two theorems concerning bounds on the maximum argument of the eigenvalues of a product of two unitary matrices--one by Childs et al. [J. Mod. Phys. 47, 155 (2000)] and the other one by Chau [Quant. Inf. Comp. 11, 721 (2011)]. Our proofs have the advantages that the necessary and sufficient conditions for equalities are apparent and that they can be readily generalized to the case of infinite-dimensional unitary operators. © 2011 Chau and Lam; licensee Springer.-
dc.languageengen_US
dc.publisherSpringer. The Journal's web site is located at http://www.hindawi.com/journals/jia/index.htmlen_US
dc.relation.ispartofJournal of Inequalities and Applicationsen_US
dc.rightsThe original publication is available at www.springerlink.comen_US
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleElementary proofs of two theorems involving arguments of eigenvalues of a product of two unitary matricesen_US
dc.typeArticleen_US
dc.identifier.emailChau, HF: hfchau@hku.hken_US
dc.identifier.authorityChau, HF=rp00669en_US
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1186/1029-242X-2011-18-
dc.identifier.scopuseid_2-s2.0-80051707120-
dc.identifier.hkuros195645en_US
dc.identifier.volume2011en_US
dc.identifier.isiWOS:000294965000001-

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats