{"title":"Kraus is King: High-order Completely Positive and Trace Preserving (CPTP) Low Rank Method for the Lindblad Master Equation","authors":"Daniel Appelo, Yingda Cheng","doi":"arxiv-2409.08898","DOIUrl":null,"url":null,"abstract":"We design high order accurate methods that exploit low rank structure in the\ndensity matrix while respecting the essential structure of the Lindblad\nequation. Our methods preserves complete positivity and are trace preserving.","PeriodicalId":501162,"journal":{"name":"arXiv - MATH - Numerical Analysis","volume":"19 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Numerical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.08898","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We design high order accurate methods that exploit low rank structure in the
density matrix while respecting the essential structure of the Lindblad
equation. Our methods preserves complete positivity and are trace preserving.
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