Quantum-Optimal Frequency Estimation of Stochastic AC Fields

• URL: http://arxiv.org/abs/2411.19412v1
• Date: Thu, 28 Nov 2024 23:34:41 GMT
• Title: Quantum-Optimal Frequency Estimation of Stochastic AC Fields
• Authors: Anirban Dey, Sara Mouradian, Cosmo Lupo, Zixin Huang,
• Abstract summary: We find an exact upper bound for estimating frequency centroids and separations.<n>This work established a robust framework for AC signal sensing and can be extended to an arbitrary number of frequencies.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Classically, measurement bandwidth limits the achievable frequency resolution of stochastic time-dependent fields. We frame the problem of frequency measurement as the estimation of the noise parameter of a dephasing quantum channel. Using this framework, we find an exact upper bound for estimating frequency centroids and separations. In particular, given two closely separated frequencies with separation $\omega_r$, the quantum Fisher information (QFI) upper bound is approximately $2/\omega_r^2$, inversely proportional to the separation parameter. We show that this is achievable with a superposition of Dicke states, and show that GHZ states improve precision over unentangled states, achieving Heisenberg scaling in the low-bandwidth limit. This work established a robust framework for stochastic AC signal sensing and can be extended to an arbitrary number of frequencies.

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