Research

Scientific interests: 

-) Mathematical foundations of quantum mechanics.

-) Quantum Information and computation.

-) Optimization.

-) Quantum machine learning.

-) Quantum communication and cryptography.

-) Quantum logic.

-) Information geometry.

Main results concern:

-) Complete characterization of states and observables within geometric Hamiltonian formulation of quantum mechanics with applications to quantum information.

-) Geometric description of quantum mutual information.

-) Geometric characterization of quantum controllability.

-) QKD based two-way transmission of entangled states.

-) Quantization prescription of a fuzzy logic deforming the product t-norm. 

-) Definition of a hybrid quantum-classical algorithm for quantum annealers.

-) A hybrid procedure for learning "problem Hamiltonians" in adiabatic quantum computing.

-) Implementation and testing of hybrid quantum-classical algortihms.

-) Models of quantum-inspired classification. 

-) Quantum optimal mass trasport theory applied to quantum tomography and quantum statistical mechanics. 

-) Definition of a learning model for classical and quantum Ising machine. 

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