{"title":"Unveiling geometric quantum resources and uncertainty relation in a two-dimensional electron gas","authors":"Chaimae Banouni, Zakaria Bouafia, Mostafa Mansour, Mohamed Ouchrif","doi":"10.1007/s00340-024-08368-w","DOIUrl":null,"url":null,"abstract":"<div><p>Understanding two-dimensional electron gas (2DEG) systems is crucial for a comprehensive grasp of their quantum potential. Due to the spins of electrons, 2DEG systems present a scalable and practical platform for housing qubits in quantum information processing. This paper investigates how the distance between delocalized electrons and electron density influences the dynamic behavior of the quantum-memory-assisted entropic uncertainty relation (<span>\\(\\mathcal {QMA-EUR}\\)</span>) and non-classical correlations in 2DEG systems. Geometric quantum metrics, such as Bures distance entanglement (<span>\\(\\mathcal {B}\\)</span>), measure the entanglement between the spins of two delocalized electrons, while trace distance discord (<span>\\(\\mathcal {TDD}\\)</span>) assesses quantum correlations in 2DEG systems. The results indicate that electron density in 2DEGs is crucial for preserving quantum correlations and reducing <span>\\(\\mathcal {QMA-EUR}\\)</span>. Moreover, the findings suggest that electron separations have a detrimental effect on entanglement and non-classical correlations in these systems. It is demonstrated that <span>\\(\\mathcal {QMA-EUR}\\)</span> behaves inversely to quantum correlations of electron spins in 2DEGs. Additionally, by adjusting electron density thoughtfully, quantum correlations can be strengthened against electron separation, ultimately reducing <span>\\(\\mathcal {QMA-EUR}\\)</span>. These insights open up fascinating prospects for harnessing 2DEG systems in quantum information processing.</p></div>","PeriodicalId":474,"journal":{"name":"Applied Physics B","volume":"131 1","pages":""},"PeriodicalIF":2.0000,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Physics B","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s00340-024-08368-w","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"OPTICS","Score":null,"Total":0}
Unveiling geometric quantum resources and uncertainty relation in a two-dimensional electron gas
Understanding two-dimensional electron gas (2DEG) systems is crucial for a comprehensive grasp of their quantum potential. Due to the spins of electrons, 2DEG systems present a scalable and practical platform for housing qubits in quantum information processing. This paper investigates how the distance between delocalized electrons and electron density influences the dynamic behavior of the quantum-memory-assisted entropic uncertainty relation (\(\mathcal {QMA-EUR}\)) and non-classical correlations in 2DEG systems. Geometric quantum metrics, such as Bures distance entanglement (\(\mathcal {B}\)), measure the entanglement between the spins of two delocalized electrons, while trace distance discord (\(\mathcal {TDD}\)) assesses quantum correlations in 2DEG systems. The results indicate that electron density in 2DEGs is crucial for preserving quantum correlations and reducing \(\mathcal {QMA-EUR}\). Moreover, the findings suggest that electron separations have a detrimental effect on entanglement and non-classical correlations in these systems. It is demonstrated that \(\mathcal {QMA-EUR}\) behaves inversely to quantum correlations of electron spins in 2DEGs. Additionally, by adjusting electron density thoughtfully, quantum correlations can be strengthened against electron separation, ultimately reducing \(\mathcal {QMA-EUR}\). These insights open up fascinating prospects for harnessing 2DEG systems in quantum information processing.
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Features publication of experimental and theoretical investigations in applied physics
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Coverage includes laser physics, linear and nonlinear optics, ultrafast phenomena, photonic devices, optical and laser materials, quantum optics, laser spectroscopy of atoms, molecules and clusters, and more
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In addition to regular papers Applied Physics B: Lasers and Optics features invited reviews. Fields of topical interest are covered by feature issues. The journal also includes a rapid communication section for the speedy publication of important and particularly interesting results.