48 citations · 160 across the 12 of their papers we have counts for
8 papers · 1 filter
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…
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…
Positive operator valued measures covariant with respect to an Abelian group
G. Cassinelli, E. De Vito, A. Toigo
Given a unitary representation of an Abelian group and a subgroup , we characterise the positive operator valued quotient group and covariant with respect to .
Teleportation of a state in view of the quantum theory of measurement
P. Busch, G. Cassinelli, E. De Vito +2
We give a description of the teleportation of an unknown quantum state which takes into account the action of the measuring device and manifestly avoids any reference to the postul…