Quantum dynamical maps provide suitable mathematical representation of quantum
evolutions. When representing quantum states by density operators, the evident …

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 an elementary treatment of the basic material about graph spectra, both for
ordinary, and Laplace and Seidel spectra. The text progresses systematically, by covering …

Quantum information theory is a branch of science at the frontier of physics, mathematics,
and information science, and offers a variety of solutions that are impossible using classical …

In the quantum-Bayesian interpretation of quantum theory (or QBism), the Born rule cannot
be interpreted as a rule for setting measurement-outcome probabilities from an objective …

We report on a new computer study of the existence of d 2 equiangular lines in d complex
dimensions. Such maximal complex projective codes are conjectured to exist in all finite …

We describe the structure of the extended Clifford group [defined to be the group consisting
of all operators, unitary and antiunitary, which normalize the generalized Pauli group (or …

We introduce a class of informationally complete positive-operator-valued measures which
are, in analogy with a tight frame,'as close as possible'to orthonormal bases for the space of …

Complex Hadamard matrices, consisting of unimodular entries with arbitrary phases, play an
important role in the theory of quantum information. We review basic properties 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 …