Tight bound on finite-resolution quantum thermometry at low temperatures
Mathias R. Jørgensen, Patrick P. Potts, Matteo G. A. Paris, Jonatan Bohr Brask · Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU) · 2020
This work analyzes the fundamental precision limits for thermometry on cold quantum systems, taking into account constraints due to finite measurement resolution. It derives a tight bound on the optimal precision scaling with temperature, as the temperature approaches zero, showing that the variance in any temperature estimate must decrease slower than linearly.