Starting from the famous Pauli problem on the possibility of associating quantum states with
probabilities, the formulation of quantum mechanics in which quantum states are described …

We introduce the notion of maximally multipartite entangled states of n qubits as a
generalization of the bipartite case. These pure states have a bipartite entanglement that …

We review the matrix bases for a family of noncommutative $\star $ products based on a
Weyl map. These products include the Moyal product, as well as the Wick-Voros products …

The review of new formulation of conventional quantum mechanics where the quantum
states are identified with probability distributions is presented. The invertible map of density …

The superposition principle is one of the landmarks of quantum mechanics. The importance
of quantum superpositions provokes questions about the limitations that quantum …

A short description of the notion of states of quantum systems in terms of conventional
probability distribution function is presented. The notion and the structure of entangled …

We map the density matrix of the qubit (spin-1/2) state associated with the Bloch sphere and
given in the tomographic probability representation onto vertices of a triangle determining …

We show a sample of some relevant developments in classical and quantum tomography
that have taken place over the last twenty years. We will present a general conceptual …

We introduce the probability distributions describing quantum observables in conventional
quantum mechanics and clarify their relations to the tomographic probability distributions …

Quantization of classical systems using the star-product of symbols of observables is
discussed. In the star-product scheme an analysis of dual structures is performed and a …