{"title":"Relationship between fidelity and spin squeezing parameter in a two-qutrit system under nonlinear Hamiltonians","authors":"Azita Naji","doi":"10.1007/s11128-024-04641-1","DOIUrl":null,"url":null,"abstract":"<div><p>In this article, we study the relationship between the spin squeezing parameter and fidelity in a qutrit spin system under the one-axis counter-twisting, two-axis counter-twisting, and Ising Hamiltonians. To this end, it investigates the teleportation of an arbitrary state through a channel squeezed by nonlinear Hamiltonians. The results show that fidelity, negativity, and squeezing parameters are oscillatory functions over time, and fidelity has a good value when the squeezing parameter is maximum. The Kitagawa squeezing parameter is more suitable than negativity to select the optimal channel state for effective teleportation. Additionally, the fidelity of the teleported state through a channel under the Ising Hamiltonian is averagely optimal over time.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 1","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2025-01-13","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/s11128-024-04641-1","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
In this article, we study the relationship between the spin squeezing parameter and fidelity in a qutrit spin system under the one-axis counter-twisting, two-axis counter-twisting, and Ising Hamiltonians. To this end, it investigates the teleportation of an arbitrary state through a channel squeezed by nonlinear Hamiltonians. The results show that fidelity, negativity, and squeezing parameters are oscillatory functions over time, and fidelity has a good value when the squeezing parameter is maximum. The Kitagawa squeezing parameter is more suitable than negativity to select the optimal channel state for effective teleportation. Additionally, the fidelity of the teleported state through a channel under the Ising Hamiltonian is averagely optimal over time.
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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