{"title":"Entanglement versus Mixedness: A Study using the Output States of Quantum Deleting Machines","authors":"A Nancy, S Balakrishnan","doi":"10.1007/s10773-024-05789-3","DOIUrl":null,"url":null,"abstract":"<div><p>Our study examines the output states produced by deletion machines, including the Pati-Braunstein (PB) and our proposed deleting machine (DM). We study the specific form of maximally entangled mixed state (MEMS) and Werner state that achieve the highest entanglement for a given level of mixedness. These states are useful in quantum information tasks due to their optimal entanglement for a given mixedness. We considered various entanglement measures (concurrence and negativity) and mixedness measures (linear and von Neumann entropy). We compared the output state of our proposed deletion machine with MEMS and Werner state, finding that our machine creates states with higher mixedness, entanglement in certain input state <span>\\((\\alpha )\\)</span> and entanglement parameter (<i>w</i>, <i>p</i>) ranges. The results indicate that our proposed deletion machine could be effectively utilized in quantum information applications, similar to MEMS and Werner states.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-09-27","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/s10773-024-05789-3","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
Our study examines the output states produced by deletion machines, including the Pati-Braunstein (PB) and our proposed deleting machine (DM). We study the specific form of maximally entangled mixed state (MEMS) and Werner state that achieve the highest entanglement for a given level of mixedness. These states are useful in quantum information tasks due to their optimal entanglement for a given mixedness. We considered various entanglement measures (concurrence and negativity) and mixedness measures (linear and von Neumann entropy). We compared the output state of our proposed deletion machine with MEMS and Werner state, finding that our machine creates states with higher mixedness, entanglement in certain input state \((\alpha )\) and entanglement parameter (w, p) ranges. The results indicate that our proposed deletion machine could be effectively utilized in quantum information applications, similar to MEMS and Werner states.
我们的研究考察了删除机产生的输出状态，包括帕蒂-布劳恩斯坦（PB）和我们提出的删除机（DM）。我们研究了最大纠缠混合态（MEMS）和维尔纳态的具体形式，它们在给定的混合程度下实现了最高的纠缠。这些状态在量子信息任务中非常有用，因为它们能在给定混合度下实现最佳纠缠。我们考虑了各种纠缠度量（一致性和负性）和混合度量（线性熵和冯-诺依曼熵）。我们将我们提出的删除机的输出状态与 MEMS 和 Werner 状态进行了比较，发现我们的机器在特定的输入状态（（\α）\）和纠缠参数（w，p）范围内创建的状态具有更高的混合度和纠缠度。结果表明，我们提出的删除机可以有效地应用于量子信息领域，类似于MEMS和Werner态。
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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