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The work presents the recent developments in Quantum Monte Carlo calculationsfor nuclear systems including strange degrees of freedom. The Auxiliary FieldDiffusion Monte Carlo algorithm has been extended to the strange sector by theinclusion of the lightest among the hyperons, the $\Lambda$ particle. Thisallows to perform detailed calculations for $\Lambda$ hypernuclei, providing amicroscopic framework for the study of the hyperon-nucleon interaction inconnection with the available experimental information. The extension of themethod for strange neutron matter, put the basis for the first Diffusion MonteCarlo analysis of the hypernuclear medium, with the derivation of neutron starobservables of great astrophysical interest.

From Hypernuclei to Hypermatter: a Quantum Monte Carlo Study of Strangeness in Nuclear Structure and Nuclear Astrophysics