Phase-matching enhanced quantum phase and amplitude estimation of a two-level system in a squeezed reservoir

doi:10.1088/1674-1056/ad8f9e

中国物理B ›› 2025, Vol. 34 ›› Issue (1): 10307-010307.doi: 10.1088/1674-1056/ad8f9e

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

收稿日期:2024-08-27 修回日期:2024-10-24 接受日期:2024-11-07 发布日期:2024-12-12
通讯作者: Xing Xiao E-mail:xiaoxing@gnnu.edu.cn
基金资助:
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).

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

Received:2024-08-27 Revised:2024-10-24 Accepted:2024-11-07 Published:2024-12-12
Contact: Xing Xiao E-mail:xiaoxing@gnnu.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: quantum parameter estimation, squeezed reservoir, phase-matching conditions, quantum Fisher information

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.

Key words: quantum parameter estimation, squeezed reservoir, phase-matching conditions, quantum Fisher information

中图分类号: (Quantum information)

03.67.-a

03.65.Yz (Decoherence; open systems; quantum statistical methods) 03.65.Aa (Quantum systems with finite Hilbert space)

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[J]. 中国物理B, 2025, 34(1): 10307-010307.

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[J]. Chin. Phys. B, 2025, 34(1): 10307-010307.

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Phase-matching enhanced quantum phase and amplitude estimation of a two-level system in a squeezed reservoir

Phase-matching enhanced quantum phase and amplitude estimation of a two-level system in a squeezed reservoir

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