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Improving cutoff frequency estimation via optimized π-pulse sequence |
| Wang-Sheng Zheng(郑王升)1, Chen-Xia Zhang(张晨霞)2, and Bei-Li Gong(龚贝利)1† |
1 School of Electrical Engineering, Guangxi University, Nanning 530004, China;
2 Faculty of Science and Technology, College of Arts and Sciences of Hubei Normal University, Huangshi 435109, China |
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Abstract The cutoff frequency is one of the crucial parameters that characterize the environment. In this paper, we estimate the cutoff frequency of the Ohmic spectral density by applying the $\pi$-pulse sequences (both equidistant and optimized) to a quantum probe coupled to a bosonic environment. To demonstrate the precision of cutoff frequency estimation, we theoretically derive the quantum Fisher information (QFI) and quantum signal-to-noise ratio (QSNR) across sub-Ohmic, Ohmic, and super-Ohmic environments, and investigate their behaviors through numerical examples. The results indicate that, compared to the equidistant $\pi$-pulse sequence, the optimized $\pi$-pulse sequence significantly shortens the time to reach maximum QFI while enhancing the precision of cutoff frequency estimation, particularly in deep sub-Ohmic and deep super-Ohmic environments.
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Received: 19 August 2024
Revised: 30 October 2024
Accepted manuscript online: 09 December 2024
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PACS:
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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03.67.-a
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(Quantum information)
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06.20.-f
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(Metrology)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 62403150), the Innovation Project of Guangxi Graduate Education (Grant No. YCSW2024129), and the Guangxi Science and Technology Base and Talent Project (Grant No. Guike AD23026208). |
Corresponding Authors:
Bei-Li Gong
E-mail: aublgong@gxu.edu.cn
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| About author: 2025-010309-241206.pdf |
Cite this article:
Wang-Sheng Zheng(郑王升), Chen-Xia Zhang(张晨霞), and Bei-Li Gong(龚贝利) Improving cutoff frequency estimation via optimized π-pulse sequence 2025 Chin. Phys. B 34 010309
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