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Quantum Fisher information density in infinite-size extended Ising chains.

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Title: Quantum Fisher information density in infinite-size extended Ising chains.
Authors: Qu, Shu1 (AUTHOR), Cheng, Hong-Guang1 (AUTHOR) Chenghg@whpu.edu.cn, Wu, Chen1 (AUTHOR), Guo, Bin2 (AUTHOR), Sun, Zhao-Yu1 (AUTHOR) sunzhaoyu2020@whpu.edu.cn
Source: European Physical Journal B: Condensed Matter. May2025, Vol. 98 Issue 5, p1-8. 8p.
Subjects: Quantum phase transitions, Density matrices, Quantum theory, Ising model, Fisher information
Abstract: In this paper, we investigate quantum Fisher information (QFI) density in the ground state of the one-dimensional infinite-size extended quantum Ising model, a system known for its rich phase diagram and topological quantum phase transitions. Notably, the QFI density itself displays clear signatures at many critical points, making it a better indicator compared to previously used two-qubit QFI (which depends upon a two-qubit reduced density matrix). This advantage stems from the QFI density's reliance on all two-qubit reduced density matrices in the ground state, rather than just one. Beyond critical phenomena, we explore the connection between QFI density and quantum entanglement. We identify wide regions where metrologically useful entanglement is present and consequently quantum-enhanced metrology is expected. Furthermore, the QFI density shows peaks in the vicinity of some critical points, suggesting the possibility of criticality-enhanced metrology. Overall, our results demonstrate that the QFI density serves as a powerful tool for characterizing both quantum criticality and metrologically useful entanglement in the extended quantum Ising model, offering valuable insights for both theoretical understanding and future experimental investigations in quantum metrology and quantum criticality. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal B: Condensed Matter is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Quantum Fisher information density in infinite-size extended Ising chains.
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  Data: <searchLink fieldCode="AR" term="%22Qu%2C+Shu%22">Qu, Shu</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Cheng%2C+Hong-Guang%22">Cheng, Hong-Guang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> Chenghg@whpu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Wu%2C+Chen%22">Wu, Chen</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Guo%2C+Bin%22">Guo, Bin</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Sun%2C+Zhao-Yu%22">Sun, Zhao-Yu</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> sunzhaoyu2020@whpu.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+B%3A+Condensed+Matter%22">European Physical Journal B: Condensed Matter</searchLink>. May2025, Vol. 98 Issue 5, p1-8. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Quantum+phase+transitions%22">Quantum phase transitions</searchLink><br /><searchLink fieldCode="DE" term="%22Density+matrices%22">Density matrices</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+theory%22">Quantum theory</searchLink><br /><searchLink fieldCode="DE" term="%22Ising+model%22">Ising model</searchLink><br /><searchLink fieldCode="DE" term="%22Fisher+information%22">Fisher information</searchLink>
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  Label: Abstract
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  Data: In this paper, we investigate quantum Fisher information (QFI) density in the ground state of the one-dimensional infinite-size extended quantum Ising model, a system known for its rich phase diagram and topological quantum phase transitions. Notably, the QFI density itself displays clear signatures at many critical points, making it a better indicator compared to previously used two-qubit QFI (which depends upon a two-qubit reduced density matrix). This advantage stems from the QFI density's reliance on all two-qubit reduced density matrices in the ground state, rather than just one. Beyond critical phenomena, we explore the connection between QFI density and quantum entanglement. We identify wide regions where metrologically useful entanglement is present and consequently quantum-enhanced metrology is expected. Furthermore, the QFI density shows peaks in the vicinity of some critical points, suggesting the possibility of criticality-enhanced metrology. Overall, our results demonstrate that the QFI density serves as a powerful tool for characterizing both quantum criticality and metrologically useful entanglement in the extended quantum Ising model, offering valuable insights for both theoretical understanding and future experimental investigations in quantum metrology and quantum criticality. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of European Physical Journal B: Condensed Matter is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1140/epjb/s10051-025-00946-x
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      – Code: eng
        Text: English
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        Type: general
      – SubjectFull: Density matrices
        Type: general
      – SubjectFull: Quantum theory
        Type: general
      – SubjectFull: Ising model
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      – SubjectFull: Fisher information
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            NameFull: Qu, Shu
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            NameFull: Cheng, Hong-Guang
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            NameFull: Wu, Chen
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            NameFull: Guo, Bin
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              M: 05
              Text: May2025
              Type: published
              Y: 2025
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