One from many: estimating a function of many parameters
Jonathan A. Gross, Carlton M. Caves
Abstract
Abstract Difficult it is to formulate achievable sensitivity bounds for quantum multiparameter estimation. Consider a special case, one parameter from many: many parameters of a process are unknown; estimate a specific linear combination of these parameters without having the ability to control any of the parameters. Superficially similar to single-parameter estimation, the problem retains genuinely multiparameter aspects. Geometric reasoning demonstrates the conditions, necessary and sufficient, for saturating the fundamental and attainable quantum-process bound in this context.
Topics & Concepts
Sensitivity (control systems)Context (archaeology)Process (computing)Estimation theoryQuantumFunction (biology)MathematicsComputer scienceApplied mathematicsMathematical optimizationAlgorithmPhysicsEngineeringQuantum mechanicsOperating systemEvolutionary biologyElectronic engineeringBiologyPaleontologyQuantum Information and CryptographyQuantum Mechanics and ApplicationsQuantum Computing Algorithms and Architecture