The Restricted Boltzmann Machine Ansatz through Adiabiatic Routes

We discuss the expressive power of the quantum restricted Boltzmann machine Ansatz in order to represent faithfully the operation process of a quantum spin-glass system undergoing an adiabatic quantum computation process. We address both the representability and the trainability problems associated to the restricted Boltzmann machine Ansatz when we try to describe the ground state of a quantum Ising spin-glass in a transverse field. In our approach, we obtain the ground state of the system using exact diagonalization and find the optimal restricted Boltzman machine. Our preliminary results show that due to the complex spin-glass landscape, for some topologies of the restricted Bolztmann machine, the parameters of the representation are hard to be found.

The Restricted Boltzmann Machine Ansatz through Adiabiatic Routes Articles