Quantum dynamical maps provide suitable mathematical representation of quantum
evolutions. When representing quantum states by density operators, the evident …

All our former experience with application of quantum theory seems to say that what is
predicted by quantum formalism must occur in the laboratory. But the essence of quantum …

The tomographic picture of quantum mechanics has brought the description of quantum
states closer to that of classical probability and statistics. On the other hand, the geometrical …

Motivated by a geometric decomposition of the vector field associated with the Gorini–
Kossakowski–Lindblad–Sudarshan (GKLS) equation for finite-level open quantum systems …

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 …

Important properties of a quantum system are not directly measurable, but they can be
disclosed by how fast the system changes under controlled perturbations. In particular …

The ability to track and control the dynamics of a quantum system is the key to quantum
technology. Despite its central role, the quantitative reconstruction of the dynamics of a …

We show that various descriptions of quantum mechanics can be represented in geometric
terms. In particular, starting with the space of observables and using the momentum map …

The set of quantum states consists of density matrices of order N, which are hermitian,
positive and normalized by the trace condition. We analyze the structure of this set in the …

The problem of whether or not the equations of motion of a quantum system determine the
commutation relations was posed by EP Wigner in 1950. A similar problem (known as “The …