Entropic uncertainty relations from equiangular tight frames and their applications

Finite tight frames are interesting in various topics including questions of quantum information. Each complex frame leads to a resolution the identity Hilbert space. Symmetric informationally complete measurements special class equiangular frames. Applications such physics deserve more attention than they have obtained. We derive uncertainty relations for measurement assigned an frame. Main results follow from estimation corresponding index coincidence. State-dependent and state-independent formulations both addressed. Also, we discuss applications considered detect entanglement other correlations.