Quantum-enhanced sensing from the interplay of long-range interactions and non-Hermiticity
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866909011465469952 |
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| author | Agarwal, Keshav Das Konar, Tanoy Kanti Lakkaraju, Leela Ganesh Chandra De, Aditi Sen |
| author_facet | Agarwal, Keshav Das Konar, Tanoy Kanti Lakkaraju, Leela Ganesh Chandra De, Aditi Sen |
| contents | Long-range (LR) quantum spin systems offer promising advantages for quantum information processing and sensing. Here, we investigate parameter estimation in an long-range XX spin model coupled to a reservoir, which gives rise to an effective long-range RT-symmetric non-Hermitian iXY Hamiltonian. The interactions extend up to a tunable coordination range and decay algebraically with distance, enabling a direct comparison between long-range and short-range (SR) regimes. Focusing on the estimation of the transverse magnetic field and anisotropy parameter, we initialize the system in a fully polarized state and analyze the resulting dynamical quantum Fisher information (QFI). We show that, with suitable tuning of the system parameters, both the time and system-size scaling of the QFI are enhanced in the LR regime relative to their SR counterparts. Moreover, the non-Hermitian LR model can exhibit superior dynamical QFI compared with the corresponding Hermitian model, demonstrating a genuine metrological advantage induced by the interplay of long-range interactions and non-Hermitian effects. In contrast, we establish a no-go result at the critical magnetic field: when the probe is prepared in the lowest-energy eigenstate, the QFI scaling remains identical for the Hermitian and non-Hermitian cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_01912 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum-enhanced sensing from the interplay of long-range interactions and non-Hermiticity Agarwal, Keshav Das Konar, Tanoy Kanti Lakkaraju, Leela Ganesh Chandra De, Aditi Sen Quantum Physics Strongly Correlated Electrons Long-range (LR) quantum spin systems offer promising advantages for quantum information processing and sensing. Here, we investigate parameter estimation in an long-range XX spin model coupled to a reservoir, which gives rise to an effective long-range RT-symmetric non-Hermitian iXY Hamiltonian. The interactions extend up to a tunable coordination range and decay algebraically with distance, enabling a direct comparison between long-range and short-range (SR) regimes. Focusing on the estimation of the transverse magnetic field and anisotropy parameter, we initialize the system in a fully polarized state and analyze the resulting dynamical quantum Fisher information (QFI). We show that, with suitable tuning of the system parameters, both the time and system-size scaling of the QFI are enhanced in the LR regime relative to their SR counterparts. Moreover, the non-Hermitian LR model can exhibit superior dynamical QFI compared with the corresponding Hermitian model, demonstrating a genuine metrological advantage induced by the interplay of long-range interactions and non-Hermitian effects. In contrast, we establish a no-go result at the critical magnetic field: when the probe is prepared in the lowest-energy eigenstate, the QFI scaling remains identical for the Hermitian and non-Hermitian cases. |
| title | Quantum-enhanced sensing from the interplay of long-range interactions and non-Hermiticity |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2605.01912 |