File Download
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1186/1029-242X-2011-18
- Scopus: eid_2-s2.0-80051707120
- WOS: WOS:000294965000001
Supplementary
- Citations:
- Appears in Collections:
Article: Elementary proofs of two theorems involving arguments of eigenvalues of a product of two unitary matrices
| Title | Elementary proofs of two theorems involving arguments of eigenvalues of a product of two unitary matrices |
|---|---|
| Authors | |
| Issue Date | 2011 |
| Publisher | Springer. 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? |
| Abstract | We 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 Identifier | http://hdl.handle.net/10722/139652 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Chau, HF | en_US |
| dc.contributor.author | Lam, YT | en_US |
| dc.date.accessioned | 2011-09-23T05:52:56Z | - |
| dc.date.available | 2011-09-23T05:52:56Z | - |
| dc.date.issued | 2011 | en_US |
| dc.identifier.citation | Journal of Inequalities and Applications, 2011, v. 2011, article no. 18 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10722/139652 | - |
| dc.description.abstract | We 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.language | eng | en_US |
| dc.publisher | Springer. The Journal's web site is located at http://www.hindawi.com/journals/jia/index.html | en_US |
| dc.relation.ispartof | Journal of Inequalities and Applications | en_US |
| dc.rights | The original publication is available at www.springerlink.com | en_US |
| dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
| dc.title | Elementary proofs of two theorems involving arguments of eigenvalues of a product of two unitary matrices | en_US |
| dc.type | Article | en_US |
| dc.identifier.email | Chau, HF: hfchau@hku.hk | en_US |
| dc.identifier.authority | Chau, HF=rp00669 | en_US |
| dc.description.nature | published_or_final_version | - |
| dc.identifier.doi | 10.1186/1029-242X-2011-18 | - |
| dc.identifier.scopus | eid_2-s2.0-80051707120 | - |
| dc.identifier.hkuros | 195645 | en_US |
| dc.identifier.volume | 2011 | en_US |
| dc.identifier.eissn | 1029-242X | - |
| dc.identifier.isi | WOS:000294965000001 | - |
| dc.identifier.issnl | 1025-5834 | - |