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Kinetic Uncertainty Relations for Quantum Transport

Didrik Palmqvist, Ludovico Tesser, and Janine Splettstoesser

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Phys. Rev. Lett. 135, 166302 – Published 17 October, 2025

DOI: https://doi.org/10.1103/kvdn-skn1

Abstract

We analyze the precision of generic currents in a multiterminal quantum-transport setting. Employing scattering theory, we show that the precision of such currents is limited by a function of the particle-current noise that can be interpreted as the activity in the classical limit. We thereby establish a kinetic uncertainty relation for quantum transport. In the full quantum limit, we find precision bounds with modified activity constraints depending on whether the system is fermionic or bosonic. We expect these bounds to be suitable as guidelines for any transport process aiming at high precision.

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Phys. Rev. Lett. 135, 166302– Published 17 October, 2025
  • Received 18 October 2024
  • Accepted 22 September 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by Bibsam.

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