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

We identify five selected open problems in the theory of quantum information, which are
rather simple to formulate, are well studied in the literature, but are technically not easy. As …

We identify five selected open problems in the theory of quantum information, which are
rather simple to formulate, were well-studied in the literature, but are technically not easy. As …

We introduce the study of frames and equiangular lines in classical geometries over finite
fields. After developing the basic theory, we give several examples and demonstrate finite …

We study lines through the origin of finite-dimensional complex vector spaces that enjoy a
doubly transitive automorphism group. In doing so, we make fundamental connections with …

We analyze tight informationally complete measurements for arbitrarily large multipartite
systems and study their configurations of entanglement. We demonstrate that tight …

We consider the problem of finding the smallest rank of a complex matrix whose absolute
values of the entries are given. We call this minimum the phaseless rank of the matrix of the …

We take a tour of a set of equiangular lines in eight-dimensional Hilbert space. This structure
defines an informationally complete measurement, that is, a way to represent all quantum …

A set of vectors of equal norm in C^ d C d represents equiangular lines if the magnitudes of
the Hermitian inner product of every pair of distinct vectors in the set are equal. The …

Roman Stanisław Ingarden, one of the founding fathers of the field, wrote in 1975:'The aim of
the present paper was only to give a general formulation of the quantum information theory …