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 …

The Paulsen problem is a basic open problem in operator theory: Given vectors u 1,…, un∈
ℝ d that are є-nearly satisfying the Parseval's condition and the equal norm condition, is it …

Let $ K $ be a compact group, and let $\rho $ be a representation of $ K $ on a Hilbert space
$\mathcal {H} _\rho $. We classify invariant subspaces of $\mathcal {H} _\rho $ in terms of …

We show that much of the theory of finite tight frames can be generalised to vector spaces
over the quaternions. This includes the variational characterisation, group frames, and the …

In this paper, we study (G, α)-frames for finite dimensional Hilbert spaces, where G is a finite
group and α is a unitary Schur multiplier of G. We apply the characterizations for tight (G, α) …

Frame theory has been a popular subject in the design of structured signals and codes in
recent years, with applications ranging from the design of measurement matrices in …

We discuss the dependence of the Shannon entropy of normalized finite rank-1 POVMs on
the choice of the input state, looking for the states that minimize this quantity. To distinguish …

The problem of discriminating between many quantum channels with certainty is analyzed
under the assumption of prior knowledge of algebraic relations among possible channels. It …

In many radar scenarios, the radar target or the medium is assumed to possess randomly
varying parts. The properties of the target are described by a random process known as the …