Hypercontractivity in finite-dimensional matrix algebras
| dc.contributor.author | Junge, M. | |
| dc.contributor.author | Palazuelos Cabezón, Carlos | |
| dc.contributor.author | Parcet, J. | |
| dc.contributor.author | Perrin, M. | |
| dc.date.accessioned | 2023-06-18T06:44:56Z | |
| dc.date.available | 2023-06-18T06:44:56Z | |
| dc.date.issued | 2015-02 | |
| dc.description.abstract | We obtain hypercontractivity estimates for a large class of semigroups defined on finite-dimensional matrix algebras Mn. These semigroups arise from Poisson-like length functions Ψ on Zn × Zn and provide new hypercontractive families of quantum channels when Ψ is conditionally negative. We also study the optimality of our estimates. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | ICMAT Severo Ochoa | |
| dc.description.sponsorship | ERC | |
| dc.description.sponsorship | NSF | |
| dc.description.sponsorship | MINECO | |
| dc.description.sponsorship | “Ramón y Cajal” program (Spain) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/30131 | |
| dc.identifier.doi | 10.1063/1.4907378 | |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.officialurl | http://scitation.aip.org/content/aip/journal/jmp/56/2/10.1063/1.4907378 | |
| dc.identifier.relatedurl | http://www.aip.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/24016 | |
| dc.issue.number | 2 | |
| dc.journal.title | Journal of Mathematical Physics | |
| dc.language.iso | eng | |
| dc.publisher | American Institute of Physics | |
| dc.relation.projectID | Grant No. SEV-2011-0087 (Spain) | |
| dc.relation.projectID | Starting Grant No. 256997-CZOSQP (EU) | |
| dc.relation.projectID | Grant No. DMS-0901457 (USA) | |
| dc.relation.projectID | MTM-2011-26912 (Spain) | |
| dc.relation.projectID | Grant Nos. MTM-2010-16518 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 51 | |
| dc.subject.keyword | Inequalities | |
| dc.subject.keyword | field theory | |
| dc.subject.keyword | Poisson's equation | |
| dc.subject.keyword | information and communication theory | |
| dc.subject.keyword | tensor methods. | |
| dc.subject.ucm | Matemáticas (Matemáticas) | |
| dc.subject.unesco | 12 Matemáticas | |
| dc.title | Hypercontractivity in finite-dimensional matrix algebras | |
| dc.type | journal article | |
| dc.volume.number | 56 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 09970d9e-6722-4f02-aac0-023cf9867638 | |
| relation.isAuthorOfPublication.latestForDiscovery | 09970d9e-6722-4f02-aac0-023cf9867638 |
