48 citations · 160 across the 12 of their papers we have counts for
12 papers
Constructing extremal compatible quantum observables by means of two mutually unbiased bases
Claudio Carmeli, Gianni Cassinelli, Alessandro Toigo
We describe a particular class of pairs of quantum observables which are extremal in the convex set of all pairs of compatible quantum observables. The pairs in this class are cons…
An axiomatic basis for quantum mechanics
Gianni Cassinelli, Pekka Lahti
In this paper we use the framework of generalized probabilistic theories to present two sets of basic assumptions, called axioms, for which we show that they lead to the Hilbert sp…
Super G-spaces
Luigi Balduzzi, Claudio Carmeli, Gianni Cassinelli
We review the basic theory of super -spaces. We prove a theorem relating the action of a super Harish-Chandra pair on a supermanifold to the action of the…
Unitary representations of super Lie groups and applications to the classification and multiplet structure of super particles
C. Carmeli, G. Cassinelli, A. Toigo +1
It is well known that the category of super Lie groups (SLG) is equivalent to the category of super Harish-Chandra pairs (SHCP). Using this equivalence, we define the category of u…
A complete characterization of phase space measurements
C. Carmeli, G. Cassinelli, E. DeVito +2
We characterize all the phase space measurements for a non-relativistic particle.
Positive operator valued measures covariant with respect to an irreducible representation
G. Cassinelli, E. De Vito, A. Toigo
Given an irreducible representation of a group G, we show that all the covariant positive operator valued measures based on G/Z, where Z is a central subgroup, are described by tra…