The usual formulation of quantum theory is based on rather obscure axioms (employing
complex Hilbert spaces, Hermitean operators, and the trace rule for calculating …

The state of a physical system is the mathematical description that provides complete
information on the system. Its knowledge is equivalent to knowing the result of any possible …

We present an elementary proof of the quantum de Finetti representation theorem, a
quantum analog of de Finetti's classical theorem on exchangeable probability assignments …

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 …

Invertible maps from operators of quantum observables onto functions of c-number
arguments and their associative products are first assessed. Different types of maps such as …

In the framework of quantum information geometry, we derive, from quantum relative Tsallis
entropy, a family of quantum metrics on the space of full rank, N level quantum states, by …

The state of a physical system is the mathematical object that provides a complete
information on the system. The knowledge of the state is equivalent to know the result of any …

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

We propose an approach to reconstruct any superconducting charge qubit state by using
quantum state tomography. This procedure requires a series of measurements on a large …