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QUANTUM CHANNELS, WAVELETS, DILATIONS AND REPRESENTATIONS OF $\mathcal{O}_{n}$
| Content Provider | Scilit |
|---|---|
| Author | Kribs, David W. |
| Copyright Year | 2003 |
| Description | We show that the representations of the Cuntz $C^*$-algebras $\mathcal{O}_n$ which arise in wavelet analysis and dilation theory can be classified through a simple analysis of completely positive maps on finite-dimensional space. Based on this analysis, we find an application in quantum information theory; namely, a structure theorem for the fixed-point set of a unital quantum channel. We also include some open problems motivated by this work.AMS 2000 Mathematics subject classification: Primary 46L45; 47A20; 46L60; 42C40; 81P15 |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/BB51F3B09A75CCDA5F874BFC86172B0D/S0013091501000980a.pdf/div-class-title-quantum-channels-wavelets-dilations-and-representations-of-mathcal-o-n-div.pdf |
| Ending Page | 433 |
| Page Count | 13 |
| Starting Page | 421 |
| ISSN | 00130915 |
| e-ISSN | 14643839 |
| DOI | 10.1017/s0013091501000980 |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Issue Number | 2 |
| Volume Number | 46 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2003-06-01 |
| Access Restriction | Open |
| Subject Keyword | Proceedings of the Edinburgh Mathematical Society Mathematical Physics Completely Positive Map Quantum Channel Orthogonal Wavelet Isometric Dilation Cuntz Algebra |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
