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 Jordan product on the self-adjoint part of a finite-dimensional C*-algebra A is shown to
give rise to Riemannian metric tensors on suitable manifolds of states on A, and the …

In view of the probabilistic quantizer–dequantizer operators introduced, the qubit states (spin-
1/2 particle states, two-level atom states) realizing the irreducible representation of the SU …

We discuss qubit-state superpositions in the probability representation of quantum
mechanics. We study probability distributions describing separable qubit states. We …

We review the geometry of the space of quantum states S (H) of a finite-level quantum
system with Hilbert space H from a group-theoretical point of view. This space carries two …

We consider the quantization procedure and investigate the application of the quantizer–
dequantizer method and star-product technique to construct associative products and the …

We develop the quantizer–dequantizer formalism for the probability and mean-value
representations of qubits and qutrits. In these representations, the elements of symbols of …

In this paper the problem of tomographic reconstruction of states is investigated within the so-
called Schwinger's picture of quantum mechanics in which a groupoid is associated with …

We review the method of quantizers and dequantizers to construct an invertible map of the
density operators onto functions including probability distributions and discuss in detail …

Magnesium ions have many cellular actions including the suppression of the excitability of
neurons; however, the depolarization effect of magnesium ions seems to be contradictory …