{"title":"Quantum energy teleportation in phase space quantum mechanics","authors":"Mar Sánchez-Córdova, Jasel Berra-Montiel","doi":"10.1140/epjp/s13360-024-05897-3","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we investigate the quantum energy teleportation protocol within the phase space formulation of quantum mechanics. By employing the Wigner quasi-probability distribution and the star product, we show that the teleported energy is proportional to the amount of entanglement present in the initial ground state. Further, we introduce the Husimi <i>Q</i>-function on a Bloch coherent state in order to determine the Wehrl entropy of the system. Finally, the Wehrl entropy enables us to compute the consumption of coherence and entanglement throughout the protocol.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"139 12","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2024-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-024-05897-3","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
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Abstract
In this paper, we investigate the quantum energy teleportation protocol within the phase space formulation of quantum mechanics. By employing the Wigner quasi-probability distribution and the star product, we show that the teleported energy is proportional to the amount of entanglement present in the initial ground state. Further, we introduce the Husimi Q-function on a Bloch coherent state in order to determine the Wehrl entropy of the system. Finally, the Wehrl entropy enables us to compute the consumption of coherence and entanglement throughout the protocol.
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