{"title":"On a New Family of Extremal Positive Maps of Three-Dimensional Matrix Algebra","authors":"P. Lugiewicz, R. Olkiewicz","doi":"10.1142/s1230161221500098","DOIUrl":null,"url":null,"abstract":"We present a new one-parameter family of extremal positive maps on the three-dimensional matrix algebra. The new elements are characterized as mappings that preserve a one-dimensional orthogonal projector.","PeriodicalId":54681,"journal":{"name":"Open Systems & Information Dynamics","volume":"107 1","pages":"2150009:1-2150009:11"},"PeriodicalIF":1.3000,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Open Systems & Information Dynamics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s1230161221500098","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 1
Abstract
We present a new one-parameter family of extremal positive maps on the three-dimensional matrix algebra. The new elements are characterized as mappings that preserve a one-dimensional orthogonal projector.
期刊介绍:
The aim of the Journal is to promote interdisciplinary research in mathematics, physics, engineering and life sciences centered around the issues of broadly understood information processing, storage and transmission, in both quantum and classical settings. Our special interest lies in the information-theoretic approach to phenomena dealing with dynamics and thermodynamics, control, communication, filtering, memory and cooperative behaviour, etc., in open complex systems.