Tight bound on finite-resolution quantum thermometry at low temperatures
Mathias R. Jørgensen, Patrick P. Potts, Matteo G. A. Paris, Jonatan B. Brask
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
ScalingQuantumWork (physics)PhysicsUpper and lower boundsTemperature measurementStatistical physicsQuantum mechanicsQuantum measurementTight bindingScale (ratio)Variance (accounting)Measure (data warehouse)Condensed matter physicsComputational physicsQuantum systemMathematicsQuantum dotObservational errorMaterials scienceQuantum fluctuationMeasurement uncertaintyCold Atom Physics and Bose-Einstein CondensatesQuantum Information and CryptographyAtomic and Subatomic Physics Research