{"title":"Quantum metrological performance of WW¯-like state in Ising model","authors":"Yan Li , Zhihong Ren","doi":"10.1016/j.chaos.2025.116257","DOIUrl":null,"url":null,"abstract":"<div><div>We examine the metrological performance of <span><math><mrow><mi>W</mi><mover><mrow><mi>W</mi></mrow><mo>¯</mo></mover></mrow></math></span>-like state (<span><math><mrow><mi>α</mi><msub><mrow><mfenced><mrow><mi>W</mi></mrow></mfenced></mrow><mrow><mi>N</mi></mrow></msub><mo>+</mo><mi>β</mi><msub><mrow><mfenced><mrow><mover><mrow><mi>W</mi></mrow><mo>¯</mo></mover></mrow></mfenced></mrow><mrow><mi>N</mi></mrow></msub></mrow></math></span>) in quantum phase estimation. Based on the framework of quantum interferometry, we analytically derive the quantum Fisher information (QFI) and analyze the precision limits. In the noninteracting environment, the metrological power of <span><math><mrow><mi>W</mi><mover><mrow><mi>W</mi></mrow><mo>¯</mo></mover></mrow></math></span>-like state is same as that of the <span><math><mi>W</mi></math></span> state in few-qubit case but symmetrically enhanced (with respect to <span><math><msup><mrow><mi>β</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>) in large-qubit case. In the Ising model, with increasing interaction strength, the QFI of <span><math><mrow><mi>N</mi><mo>≤</mo><mn>6</mn></mrow></math></span> qubit <span><math><mrow><mi>W</mi><mover><mrow><mi>W</mi></mrow><mo>¯</mo></mover></mrow></math></span>-like state is universally enhanced and displays different and exotic trends (with respect to <span><math><msup><mrow><mi>β</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>), particularly for 4- and 6-qubit cases where it respectively shows a reversible phenomenon and a reversal scenario. Regarding others (<span><math><mrow><mi>N</mi><mo>></mo><mn>6</mn></mrow></math></span>), it exhibits a similar trend that the precision limit is always better than that of <span><math><mrow><mi>W</mi><mover><mrow><mi>W</mi></mrow><mo>¯</mo></mover></mrow></math></span> state in strong interaction.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"195 ","pages":"Article 116257"},"PeriodicalIF":5.3000,"publicationDate":"2025-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos Solitons & Fractals","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S096007792500270X","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
We examine the metrological performance of -like state () in quantum phase estimation. Based on the framework of quantum interferometry, we analytically derive the quantum Fisher information (QFI) and analyze the precision limits. In the noninteracting environment, the metrological power of -like state is same as that of the state in few-qubit case but symmetrically enhanced (with respect to ) in large-qubit case. In the Ising model, with increasing interaction strength, the QFI of qubit -like state is universally enhanced and displays different and exotic trends (with respect to ), particularly for 4- and 6-qubit cases where it respectively shows a reversible phenomenon and a reversal scenario. Regarding others (), it exhibits a similar trend that the precision limit is always better than that of state in strong interaction.
期刊介绍:
Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.