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Phase-matching enhanced quantum phase and amplitude estimation of a two-level system in a squeezed reservoir |
| Yan-Ling Li(李艳玲)1, Cai-Hong Liao(廖彩红)1, and Xing Xiao(肖兴)2,† |
1 School of Information Engineering, Jiangxi University of Science and Technology, Ganzhou 341000, China;
2 College of Physics and Electronic Information, Gannan Normal University, Ganzhou 341000, China |
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Abstract Squeezed reservoir engineering is a powerful technique in quantum information that combines the features of squeezing and reservoir engineering to create and stabilize non-classical quantum states. In this paper, we focus on the previously neglected aspect of the impact of the squeezing phase on the precision of quantum phase and amplitude estimation based on a simple model of a two-level system (TLS) interacting with a squeezed reservoir. We derive the optimal squeezed phase-matching conditions for phase $\phi$ and amplitude $\theta$ parameters, which are crucial for enhancing the precision of quantum parameter estimation. The robustness of the squeezing-enhanced quantum Fisher information against departures from these conditions is examined, demonstrating that minor deviations from phase-matching can still result in remarkable precision of estimation. Additionally, we provide a geometric interpretation of the squeezed phase-matching conditions from the classical motion of a TLS on the Bloch sphere. Our research contributes to a deeper understanding of the operational requirements for employing squeezed reservoir engineering to advance quantum parameter estimation.
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Received: 27 August 2024
Revised: 24 October 2024
Accepted manuscript online: 07 November 2024
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PACS:
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03.67.-a
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(Quantum information)
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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03.65.Aa
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(Quantum systems with finite Hilbert space)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12265004), Jiangxi Provincial Natural Science Foundation (Grant No. 20242BAB26010), the National Natural Science Foundation of China (Grant No. 12365003), and Jiangxi Provincial Natural Science Foundation (Grant Nos. 20212ACB211004 and 20212BAB201014). |
Corresponding Authors:
Xing Xiao
E-mail: xiaoxing@gnnu.edu.cn
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Cite this article:
Yan-Ling Li(李艳玲), Cai-Hong Liao(廖彩红), and Xing Xiao(肖兴) Phase-matching enhanced quantum phase and amplitude estimation of a two-level system in a squeezed reservoir 2025 Chin. Phys. B 34 010307
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