Computational Mathematics and Mathematical Physics
Efficient Machine Learning Generation of Target Quantum Processes
I. T. Russkikh, Boris Olegovich Volkov, Alexander Nikolaevich Pechen
Abstract
Abstract This work addresses the problem of developing a machine-learning approach for the generation of a desired quantum process, i.e., a predefined trajectory in the set of quantum channels. To this end, a physical model of N-level quantum systems driven by coherent and incoherent controls is constructed, in which both Hamiltonian and dissipative dynamics are controlled. The main challenge in generating a target quantum process is the high complexity of finding optimal controls with conventional local-search optimization methods. To efficiently solve this problem, we develop a machine learning method that leverages a special representation of the dynamics. The proposed machine learning method achieves high efficiency and fast execution times: it delivers significantly higher accuracy (by an order of magnitude) and accelerates the generation of target quantum processes compared to standard local search methods for qubit, qutrit, and qudit (five-level) systems.