Uncertainty relations for approximation and estimation

• Published in: Physics letters. A Vol. 380; no. 24; pp. 2045 - 2048
• Main Authors: Lee, Jaeha, Tsutsui, Izumi
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 27.05.2016
• Subjects: Approximation; Estimation theory; Inequalities; Mathematical analysis; Optimization; Parameter estimation; Physical properties; Solid state physics; Uncertainty; Uncertainty relation; Weak value; Weak value; Uncertainty relation; Estimation theory

We present a versatile inequality of uncertainty relations which are useful when one approximates an observable and/or estimates a physical parameter based on the measurement of another observable. It is shown that the optimal choice for proxy functions used for the approximation is given by Aharono...