Tight bound on finite-resolution quantum thermometry at low temperatures
Jørgensen, Mathias R., Potts, Patrick P., Paris, Matteo G. A., Brask, Jonatan Bohr
2020Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)46 citationsOpen Access PDF
Abstract
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.
Topics & Concepts
ScalingResolution (logic)Upper and lower boundsQuantumTemperature measurementWork (physics)Variance (accounting)Zero temperaturePhysicsStatistical physicsMathematicsQuantum mechanicsComputational physicsMaterials scienceMathematical analysisComputer scienceGeometryArtificial intelligenceBusinessAccountingQuantum Information and CryptographyAdvanced Thermodynamics and Statistical MechanicsCold Atom Physics and Bose-Einstein Condensates