Certifying dimension of quantum systems by sequential projective measurements

This work analyzes correlations arising from quantum systems subject to sequential projective measurements certify that the system in question has a dimension greater than somed. We refine previous known methods and show two can be certified scenarios which are considerably simpler ones presented before and, for first time this scenario, we with strictly three. also perform systematic numerical analysis terms of robustness conclude performing random on pure qutrit states allows robust certification dimensions very high probability.