Earlier quoted context omitted.
Communism is an anarchist philosophy, at it's root. If it seems a bit weird because (IIRC) this historical dialectic goes: - bourgeois revolution - Workers revolution - Bigger state - Even bigger state - Underpants gnomes - Anarchist utopia Only half joking... this is what turn of the last century communists believed.
anarchists (well maybe except for insurrectionist anarchists) believe in communism as an outcome, but they most definitely do not agree with vanguardism as a means of achieving it. vanguardism is just a kind of elitist authoritarianism.
Aware that this isn't historically accurate terminology but very few people will appreciate the nuances your definitions requires, as the modern meanings have diverged