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

Packing problems have been a source of fascination for millennia and their study has
produced a rich literature that spans numerous disciplines. Investigations of hard-particle …

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 …

Mutually unbiased bases (MUBs) and symmetric informationally complete projectors (SICs)
are crucial to many conceptual and practical aspects of quantum theory. Here, we develop …

We give details of the 1-1 correspondence between equiangular frames of n vectors for Rd
and graphs with n vertices. This has been studied recently for tight equiangular frames …

Although symmetric informationally complete positive operator valued measures (SIC
POVMs, or SICs for short) have been constructed in every dimension up to 67, a general …

We find many tight codes in compact spaces, in other words, optimal codes whose optimality
follows from linear programming bounds. In particular, we show the existence (and …

Recently there has been much effort in the quantum information community to prove (or
disprove) the existence of symmetric informationally complete (SIC) sets of quantum states …

Quantum state estimation is a procedure for inferring the state of a quantum system from
generalized measurements, known as probability operator measurements (POMs). It is a …

We exhibit an infinite family of triplets of mutually unbiased bases (MUBs) in dimension 6.
These triplets involve the Fourier family of Hadamard matrices, F (a, b). However, in the main …