6533b7d5fe1ef96bd126496c
RESEARCH PRODUCT
On quantumness in multi-parameter quantum estimation
Bernardo SpagnoloBernardo SpagnoloAngelo CarolloAlexander A. DubkovDavide Valentisubject
Statistics and ProbabilitySettore FIS/02 - Fisica Teorica Modelli E Metodi Matematiciquantum criticality quantum information statistical inferenceMeasure (physics)Physical systemFOS: Physical sciencesCurvature01 natural sciences010305 fluids & plasmassymbols.namesake0103 physical sciencesFigure of meritStatistical physics010306 general physicsFisher informationQuantumCondensed Matter - Statistical MechanicsMathematicsPhase diagramThermal equilibriumQuantum PhysicsStatistical Mechanics (cond-mat.stat-mech)Statistical and Nonlinear PhysicssymbolsStatistics Probability and UncertaintyQuantum Physics (quant-ph)description
In this article we derive a measure of quantumness in quantum multi-parameter estimation problems. We can show that the ratio between the mean Uhlmann Curvature and the Fisher Information provides a figure of merit which estimates the amount of incompatibility arising from the quantum nature of the underlying physical system. This ratio accounts for the discrepancy between the attainable precision in the simultaneous estimation of multiple parameters and the precision predicted by the Cram\'er-Rao bound. As a testbed for this concept, we consider a quantum many-body system in thermal equilibrium, and explore the quantum compatibility of the model across its phase diagram.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-09-04 | Journal of Statistical Mechanics: Theory and Experiment |