  This paper presents a quantum approach for the formulation and solution of
the prosumer problem, i.e., the problem of minimizing the energy cost incurred
by a number of users in an energy community, while addressing the constraints
given by the balance of energy and the user requirements. As the problem is
NP-complete, a hybrid quantum/classical algorithm could help to acquire a
significant speedup, which is particularly useful when the problem size is
large. This work describes the steps through which the problem can be
transformed, reformulated and given as an input to Quantum Approximate
Optimization Algorithm (QAOA), and reports some experimental results, in terms
of the quality of the solution and time to achieve it, obtained with a quantum
simulator, when varying the number of constraints and, correspondingly, the
number of qubits.
