Current-based metrology with two-terminal mesoscopic conductors

• URL: http://arxiv.org/abs/2507.12907v1
• Date: Thu, 17 Jul 2025 08:50:37 GMT
• Title: Current-based metrology with two-terminal mesoscopic conductors
• Authors: Shishir Khandelwal, Gabriel T. Landi, Géraldine Haack, Mark T. Mitchison,
• Abstract summary: In open quantum systems, an alternative approach to metrology involves the measurement of currents flowing from the system to its environment.<n>We identify the key elements that determine estimation precision within the Landauer-B"uttiker formalism.<n>We obtain analytical results for the precision in linear-response regimes and zero-temperature regimes.
• Score: 9.730527475112552
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The traditional approach to quantum parameter estimation focuses on the quantum state, deriving fundamental bounds on precision through the quantum Fisher information. In most experimental settings, however, performing arbitrary quantum measurements is highly unfeasible. In open quantum systems, an alternative approach to metrology involves the measurement of stochastic currents flowing from the system to its environment. However, the present understanding of current-based metrology is mostly limited to Markovian master equations. Considering a parameter estimation problem in a two-terminal mesoscopic conductor, we identify the key elements that determine estimation precision within the Landauer-B\"uttiker formalism. Crucially, this approach allows us to address arbitrary coupling and temperature regimes. Furthermore, we obtain analytical results for the precision in linear-response and zero-temperature regimes. For the specific parameter estimation task that we consider, we demonstrate that the boxcar transmission function is optimal for current-based metrology in all parameter regimes.

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