Quantum thermodynamic uncertainty relation for continuous measurement

Understand

We use quantum estimation theory to derive a thermodynamic uncertainty relation in Markovian open quantum systems, which bounds the fluctuation of continuous measurements.

• The derived quantum thermodynamic uncertainty relation holds for arbitrary continuous measurements satisfying a scaling condition.
• We derive two relations; the first relation bounds the fluctuation by the dynamical activity and the second one does so by the entropy production.
• We apply our bounds to a two-level atom driven by a laser field and a three-level quantum thermal machine with jump and diffusion measurements.