18 citations · 21 across the 5 of their papers we have counts for
8 papers
On the Multiplicity of Density Operator Representation
Gianfranco Cariolaro, Edi Ruffa
The density operator is usually defined starting from a set of kets in the Hilbert space and a probability distribution. From this definition it is easy to obtain a factorization o…
On the role of Hermite-like polynomials in the Fock representations of Gaussian states
Gianfranco Cariolaro, Giuseppe Dattoli, Gianfranco Pierobon
The expansion of quantum states and operators in terms of Fock states plays a fundamental role in the field of continuous-variable quantum mechanics. In particular, for general sin…
From Hamiltonians to complex symplectic transformations
Gianfranco Cariolaro, Gianfranco Pierobon
Gaussian unitaries are specified by a second order polynomial in the bosonic operators, that is, by a quadratic polynomial and a linear term. From the Hamiltonian other equivalent…
Gaussian states and geometrically uniform symmetry
Gianfranco Cariolaro, Roberto Corvaja, Gianfranco Pierobon
Quantum Gaussian states can be considered as the majority of the practical quantum states used in quantum communications and more generally in quantum information. Here we consider…
Helstrom's Theory on Quantum Binary Decision Revisited
Gianfranco Cariolaro, Alberto Vigato
For a binary system specified by the density operators r0 and r1 and by the prior probabilities q0 and q1, Helstrom's theory permits the evaluation of the optimal measurement opera…
Efficient Optimal Minimum Error Discrimination of Symmetric Quantum States
Antonio Assalini, Gianfranco Cariolaro, Gianfranco Pierobon
This paper deals with the quantum optimal discrimination among mixed quantum states enjoying geometrical uniform symmetry with respect to a reference density operator . It is…