{"title":"Quantum Entanglement and Teleportation Fidelity in Half-filled Hubbard Model of Graphene Honeycomb Lattices","authors":"Hao Wang","doi":"10.1007/s11128-025-04767-w","DOIUrl":null,"url":null,"abstract":"<div><p>We present a scheme for the thermal entanglement and teleportation fidelity of two electrons in the half-filled Hubbard model of the graphene honeycomb lattices. The analytical thermal entanglement, the teleportation fidelity and the average teleportation fidelity expressions are obtained. The effects of the temperature, the on-site repulsion and the nearest-neighbor interaction on the Concurrence, the teleportation fidelity and the average teleportation fidelity are discussed in detail. The findings suggest that weaker or stronger values of the on-site repulsion, the nearest-neighbor interaction will diminish quantum correlations and teleportation fidelity in the system. Furthermore, the average fidelity <span>\\({\\mathcal {F}}_A \\)</span> of teleportation using thermal entangled state is confined in the inequality <span>\\(1 / 4 \\le {\\mathcal {F}}_A \\le 1 / 3\\)</span>. These investigation have significant implications for quantum physics and its practical applications in quantum information processing.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 5","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quantum Information Processing","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11128-025-04767-w","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
We present a scheme for the thermal entanglement and teleportation fidelity of two electrons in the half-filled Hubbard model of the graphene honeycomb lattices. The analytical thermal entanglement, the teleportation fidelity and the average teleportation fidelity expressions are obtained. The effects of the temperature, the on-site repulsion and the nearest-neighbor interaction on the Concurrence, the teleportation fidelity and the average teleportation fidelity are discussed in detail. The findings suggest that weaker or stronger values of the on-site repulsion, the nearest-neighbor interaction will diminish quantum correlations and teleportation fidelity in the system. Furthermore, the average fidelity \({\mathcal {F}}_A \) of teleportation using thermal entangled state is confined in the inequality \(1 / 4 \le {\mathcal {F}}_A \le 1 / 3\). These investigation have significant implications for quantum physics and its practical applications in quantum information processing.
期刊介绍：
Quantum Information Processing is a high-impact, international journal publishing cutting-edge experimental and theoretical research in all areas of Quantum Information Science. Topics of interest include quantum cryptography and communications, entanglement and discord, quantum algorithms, quantum error correction and fault tolerance, quantum computer science, quantum imaging and sensing, and experimental platforms for quantum information. Quantum Information Processing supports and inspires research by providing a comprehensive peer review process, and broadcasting high quality results in a range of formats. These include original papers, letters, broadly focused perspectives, comprehensive review articles, book reviews, and special topical issues. The journal is particularly interested in papers detailing and demonstrating quantum information protocols for cryptography, communications, computation, and sensing.
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