From Independent to Joint: Enhancing Quantum Phase and Correlation Factor Estimation by Squeezed Reservoir Engineering

• URL: http://arxiv.org/abs/2604.23476v1
• Date: Sun, 26 Apr 2026 00:01:36 GMT
• Title: From Independent to Joint: Enhancing Quantum Phase and Correlation Factor Estimation by Squeezed Reservoir Engineering
• Abstract summary: We show that the squeezing phase $$ is crucial for achieving quantum-enhanced precision.<n>We derive the near-optimal phase-matching relations aimed at maximizing the quantum Fisher information.<n>These findings provide practical insights into reservoir engineering strategies for high-precision quantum sensing and information processing.
• Score: 8.069284513073306
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: High-precision quantum parameter estimation is fundamental to the advancement of quantum metrology. Although reservoir engineering provides a powerful approach to improve estimation by tailoring system-environment interactions, the role of the squeezing phase and correlations arising from the sequential utilization of the same squeezed reservoir remains inadequately explored. In this work, we employ a correlated squeezed-thermal reservoir to enhance the precision of estimating the phase parameter $φ$ and the correlation factor $μ$, both individually and simultaneously. We show that the squeezing phase $Φ$ is crucial for achieving quantum-enhanced precision, with optimal phase-matching conditions that depend strongly on $μ$. Specifically, we derive the near-optimal phase-matching relations aimed at maximizing the quantum Fisher information (QFI) for both $φ$ and $μ$, as well as minimizing the total variance $Δ_{\rm sim}$ in joint estimation. Furthermore, we show that the joint estimation variance is dominated by $F_φ$, which motivates our search for the phase-matching conditions that minimize $Δ_{\text{sim}}$. Through the ratio $R$ of variances, we demonstrate that joint estimation conserves quantum resources and maintains high precision when the squeezing phase is optimized for $F_φ$, despite the inherent incompatibility of the parameters. These findings provide practical insights into reservoir engineering strategies for high-precision quantum sensing and information processing.

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