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

Reconstructing quantum states is an important task for various emerging quantum
technologies. The process of reconstructing the density matrix of a quantum state is known …

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 …

The famous combinatorial problem of Euler concerns an arrangement of 36 officers from six
different regiments in a 6× 6 square array. Each regiment consists of six officers each …

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 …

Symmetric Informationally Complete Positive Operator Valued Measures (usually referred to
as SIC-POVMs or simply as SICS) have been constructed in every dimension up to 67 …

Discrete structures in Hilbert space play a crucial role in finding optimal schemes for
quantum measurements. We solve the problem of whether a complete set of five …

Symmetric informationally complete measurements (SICs in short) are highly symmetric
structures in the Hilbert space. They possess many nice properties which render them an …

We show that the Clifford group-the normaliser of the Weyl-Heisenberg group-can be
represented by monomial phase-permutation matrices if and only if the dimension is a …

Symmetric informationally complete measurements (SICs) are elegant, celebrated, and
broadly useful discrete structures in Hilbert space. We introduce a more sophisticated …