Recent years have seen significant advances in the study of symmetric informationally
complete (SIC) quantum measurements, also known as maximal sets of complex …

This book gives a unified introduction to the rapidly developing area of finite tight frames.
Fifteen years ago, the existence of equal-norm tight frames of n> d vectors for Rd and Cd …

For certain real quadratic fields $ K $ with sufficiently small discriminant we produce explicit
unit generators for specific ray class fields of $ K $ using a numerical method that arose in …

These are notes from a course I gave at MIT on the Fall of 2015 entitled:“18. S096: Topics in
Mathematics of Data Science”. These notes are not in final form and will be continuously …

In this survey, we relate frame theory and quantum information theory, focusing on quantum
2-designs. These are arrangements of weighted subspaces which are in a specific sense …

We operationally introduce mixed quantum t-designs as the most general arbitrary-rank
extension of projective quantum t-designs which preserves indistinguishability from the …

Collections of time-and frequency-shifts of suitably chosen generators (Alltop or random
vectors) proved successful for many applications in sparse recovery and related fields. It is …

To each finite frame $\varphi $ in an inner product space $\mathcal {H} $ we associate a
simple graph $ G (\varphi) $, called {\it frame graph}, with the vectors of the frame as vertices …

Compressed Sensing ist eine neuartige Methode in der Datenverarbeitung, welche einen
Vorteil aus der Tatsache zieht, dass viele Signale dünnbesetzt (engl.: sparse) sind oder …