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Geometric Formulation of Universally Valid Uncertainty Relation for Error by Lee, Jaeha; Tsutsui, Izumi is a scholarly article available to read on EtoBox.

What is Geometric Formulation of Universally Valid Uncertainty Relation for Error about?

We present a new geometric formulation of uncertainty relation valid for any quantum measurements of statistical nature. Owing to its simplicity and tangibility, our relation is universally valid and experimentally viable. Although our relation violates the na{\"i}ve non-commutativity bound $\hbar/2$ for the measurement of position and momentum, the spirit of the uncertainty principle still stands strong. Our relation entails, among others, the Ozawa relation as a corollary, and also reduces seamlessly to the standard Kennard-Robertson relation when the measurement is non-informative.

Author

Lee, Jaeha; Tsutsui, Izumi

Published

2020

Language

EN