{"title":"Frozen Quantum Coherence in Qutrit System","authors":"Sanuja D, Mohanty, Biswajit Pradhan","doi":"10.1007/s10773-024-05832-3","DOIUrl":null,"url":null,"abstract":"<div><p>There exist quantum states for which the specific measure of quantum coherence remain unaffected by noise. In case of single qubit, subjected to Markovian bit-flip and bit+phase-flip noise, the <span>\\(l_1\\)</span> norm of coherence is found to be frozen for states (<span>\\(n_1,0,n_3\\)</span>) in Bloch sphere representation. In present work, we searched for qutrit states that would show invariance of coherence in quantum channel by analyzing various cross-sections of the qutrit Bloch sphere. We found several geometric sections in state space that exhibit frozen phenomenon for quantum coherence under different noisy channels.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 11","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-11-23","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/s10773-024-05832-3","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
There exist quantum states for which the specific measure of quantum coherence remain unaffected by noise. In case of single qubit, subjected to Markovian bit-flip and bit+phase-flip noise, the \(l_1\) norm of coherence is found to be frozen for states (\(n_1,0,n_3\)) in Bloch sphere representation. In present work, we searched for qutrit states that would show invariance of coherence in quantum channel by analyzing various cross-sections of the qutrit Bloch sphere. We found several geometric sections in state space that exhibit frozen phenomenon for quantum coherence under different noisy channels.
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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