Resource-Efficient Noise Spectroscopy for Generic Quantum Dephasing Environments

• URL: http://arxiv.org/abs/2601.18290v1
• Date: Mon, 26 Jan 2026 09:19:17 GMT
• Title: Resource-Efficient Noise Spectroscopy for Generic Quantum Dephasing Environments
• Authors: Yuan-De Jin, Zheng-Fei Ye, Wen-Long Ma,
• Abstract summary: The weak measurement is induced by a Ramsey interferometry measurement on the qubit and periodically applied during the free evolution of the environment.<n>We prove that the measurement correlation of such repetitive RIMs approximately corresponds to a direct sampling of the noise correlation function.<n>This method is also more resource-efficient than the correlation spectroscopy, as for the same detection accuracy with $N$ sampling times, it takes total detection time $O(N)$.
• Score: 0.10923877073891443
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a resource-efficient method based on repetitive weak measurements to directly measure the noise spectrum of a generic quantum environment that causes qubit phase decoherence. The weak measurement is induced by a Ramsey interferometry measurement (RIM) on the qubit and periodically applied during the free evolution of the environment. We prove that the measurement correlation of such repetitive RIMs approximately corresponds to a direct sampling of the noise correlation function, thus enabling direct noise spectroscopy of the environment. Compared to dynamical-decoupling-based noise spectroscopy, this method can efficiently measure the full noise spectrum with the detected frequency range not limited by qubit coherence time. This method is also more resource-efficient than the correlation spectroscopy, as for the same detection accuracy with $N$ sampling times, it takes total detection time $O(N)$ while the latter one takes time $O(N^2)$. We numerically demonstrate this method for both bosonic and spin baths.

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