Środowiskowe Seminarium z Informacji i Technologii Kwantowych

The set of simultaneously attainable quantum expectation values of arbitrary k observables $F_1,\ldots,F_k$, called the numerical range, $W(F_1,…,F_k)$, can be applied to various problems in quantum theory. In this talk we establish a connection to uncertainty relations, in particular discussing the recent form of Maccone and Pati concerning the sum of variances. New results include semi-analytical bounds from below for the sum of variances with an error estimate and tight, analytical bounds for low-dimensional cases. Talk based on arXiv preprint 1707.03464.