On the contrary, both in anarchist and marxist philosophy communism is defined as a society without State and social classes. While anarchists believe (and practice!) in dismantling the established social order here and now by systematically questioning power structures, marxist-leninists promoted the idea that building a "dictatorship of the proletariat" was a necessary step for a revolution to seize the repression means of the bourgeois State to make sure to go towards communism. This disagreement is what led to the fork of the 1st Internationale in the late 19th century.

As history has shown, reestablishing the old forms of power (centralized State, political police, prisons, work) for the sake of the revolution didn't help to achieve any communism ever (USSR was profoundly anti-communist beyond the appearances: the secret police fought against all self-organized communes like Cronstadt or the peasant soviets of Ukraine). That's why anarchists to this day refer to marxism-leninism (what capitalists call "communism") as State-capitalism: it has the same structures and power balance than capitalism, with the difference that power is held not by the bourgeoisie but by a so-called avant-garde. But for the common people, the situation is very similar, as the promised Stateless/classless society is nowhere to be seen.