{"title":"Applications of Geometric Coherence with Respect to Mutually Unbiased Bases","authors":"Yue Sun, Ming-Jing Zhao, Peng-Tong Li","doi":"10.1007/s10773-024-05799-1","DOIUrl":null,"url":null,"abstract":"<div><p>Quantum coherence plays a vital role in quantum mechanics and quantum information processing. It can be regarded as an important quantum resource. Quantification of coherence is the core of coherence theory. Geometric coherence as a measure of coherence can effectively quantify quantum coherence. In this work, we drive complementarity relations for geometric coherence with respect to mutually unbiased bases. Then, based on these complementarity relations, we establish the relationship between geometric coherence and quantum steering.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10773-024-05799-1","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
Quantum coherence plays a vital role in quantum mechanics and quantum information processing. It can be regarded as an important quantum resource. Quantification of coherence is the core of coherence theory. Geometric coherence as a measure of coherence can effectively quantify quantum coherence. In this work, we drive complementarity relations for geometric coherence with respect to mutually unbiased bases. Then, based on these complementarity relations, we establish the relationship between geometric coherence and quantum steering.
期刊介绍：
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.
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