This project grew from lecture notes prepared for courses on group theory taught by the
authors a long time ago. They were recovered and put in their present form because of the …

The concept of quantum computing has evolved over nearly a century to a point now where
it is no longer science-fiction. However, conceptual extensions of quantum computation and …

Schwinger's algebra of selective measurements has a natural interpretation in the formalism
of groupoids. Its kinematical foundations, as well as the structure of the algebra of …

In this paper, we review Schwinger's formulation of Quantum Mechanics and argue that the
mathematical structure behind Schwinger's “Symbolism of Atomic Measurements” is that of a …

The kinematical foundations of Schwinger's algebra of selective measurements were
discussed in [FM Ciaglia, A. Ibort and G. Marmo, Schwinger's picture of quantum mechanics …

In this paper, we will present the main features of what can be called Schwinger's
foundational approach to Quantum Mechanics. The basic ingredients of this formulation are …

The groupoid description of Schwinger's picture of quantum mechanics is continued by
discussing the closely related notions of composition of systems, subsystems, and their …

In this Article we analyze the algebraic properties of the asymptotic dynamics of finite-
dimensional open quantum systems in the Heisenberg picture. In particular, a natural …

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 …

It is well known that certain features of a quantum theory cannot be described in the
standard picture on a Hilbert space. In particular, this happens when we try to formally frame …