{"title":"Purity and Construction of Arbitrary Dimensional \n \n k\n $k$\n -Uniform Mixed States","authors":"Xiao Zhang, Shanqi Pang, Shao-Ming Fei, Zhu-Jun Zheng","doi":"10.1002/qute.202400245","DOIUrl":null,"url":null,"abstract":"<p><i>k</i>-uniform mixed states are a significant class of states characterized by all <i>k</i>-party reduced states being maximally mixed.Novel methodologies are constructed for constructing <i>k</i>-uniform mixed states with the highest possible purity. By using the orthogonal partition of orthogonal arrays, a series of new <i>k</i>-uniform mixed states is derived. Consequently, an infinite number of higher-dimensional <i>k</i>-uniform mixed states, including those with highest purity, can be generated.</p>","PeriodicalId":72073,"journal":{"name":"Advanced quantum technologies","volume":"7 12","pages":""},"PeriodicalIF":4.4000,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advanced quantum technologies","FirstCategoryId":"1085","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/qute.202400245","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"OPTICS","Score":null,"Total":0}
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Abstract
k-uniform mixed states are a significant class of states characterized by all k-party reduced states being maximally mixed.Novel methodologies are constructed for constructing k-uniform mixed states with the highest possible purity. By using the orthogonal partition of orthogonal arrays, a series of new k-uniform mixed states is derived. Consequently, an infinite number of higher-dimensional k-uniform mixed states, including those with highest purity, can be generated.
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