A Finite Time Quantum Thermodynamic Uncertainty Relation for Continuous Measurement in Open Quantum Systems
Title
A Finite Time Quantum Thermodynamic Uncertainty Relation for Continuous Measurement in Open Quantum Systems
Subject
Physics
Creator
Max Jackson
Date
2023
Abstract
We find an expression for the finite time quantum thermodynamic uncertainty relation, which acts as a bound on the precision of a continuous measurement of an open quantum system. The classical and quantum limits of this uncertainty relation are explored through analysis of the average and variance jump rate as well as the quantum Fisher information, which acts as a bound on the signal-to-noise ratio. The classical limits are found to agree with known results and contain no quantum
corrections, however the quantum regime shows classical contributions even in the limiting case.
corrections, however the quantum regime shows classical contributions even in the limiting case.
Files
Collection
Citation
Max Jackson, “A Finite Time Quantum Thermodynamic Uncertainty Relation for Continuous Measurement in Open Quantum Systems
,” URSS Showcase, accessed May 4, 2024, https://urss.warwick.ac.uk/items/show/333.
,” URSS Showcase, accessed May 4, 2024, https://urss.warwick.ac.uk/items/show/333.