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Hauptverfasser: Mihailescu, George, Kiely, Anthony, Mitchell, Andrew K.
Format: Preprint
Veröffentlicht: 2024
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Online-Zugang:https://arxiv.org/abs/2406.18662
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author Mihailescu, George
Kiely, Anthony
Mitchell, Andrew K.
author_facet Mihailescu, George
Kiely, Anthony
Mitchell, Andrew K.
contents Quantum systems used for metrology can offer enhanced precision over their classical counterparts. The design of quantum sensors can be optimized by maximizing the quantum Fisher information (QFI), which characterizes the precision of parameter estimation for an ideal measurement. Here we consider the response of a quantum system as a means to estimate the strength of a weak external perturbation. General expressions for the QFI in the nonequilibrium steady-state are derived, which hold for arbitrary interacting many-body systems at finite or zero temperature, and can be related to susceptibilities or linear-response transport coefficients. For quantum dot nanoelectronics devices, we show that electron interactions can lead to *exponential* scaling of the QFI with system size, highlighting that quantum resources can be utilized in the full Fock space. The precision estimation of voltages and fields can also be achieved by practical measurements. In particular, we show that current-based metrology in quantum circuits can leverage many-body effects for enhanced sensing.
format Preprint
id arxiv_https___arxiv_org_abs_2406_18662
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum Sensing with Nanoelectronics: Fisher Information for an Applied Perturbation
Mihailescu, George
Kiely, Anthony
Mitchell, Andrew K.
Quantum Physics
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Quantum systems used for metrology can offer enhanced precision over their classical counterparts. The design of quantum sensors can be optimized by maximizing the quantum Fisher information (QFI), which characterizes the precision of parameter estimation for an ideal measurement. Here we consider the response of a quantum system as a means to estimate the strength of a weak external perturbation. General expressions for the QFI in the nonequilibrium steady-state are derived, which hold for arbitrary interacting many-body systems at finite or zero temperature, and can be related to susceptibilities or linear-response transport coefficients. For quantum dot nanoelectronics devices, we show that electron interactions can lead to *exponential* scaling of the QFI with system size, highlighting that quantum resources can be utilized in the full Fock space. The precision estimation of voltages and fields can also be achieved by practical measurements. In particular, we show that current-based metrology in quantum circuits can leverage many-body effects for enhanced sensing.
title Quantum Sensing with Nanoelectronics: Fisher Information for an Applied Perturbation
topic Quantum Physics
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2406.18662