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In the quantum world correlations can take form of entanglement which isknown to be monogamous. In this work we show that another type of correlations,indistinguishability, is also restricted by some form of monogamy. Namely, ifparticles A and B simulate bosons, then A and C cannot perfectly imitatefermions. Our main result consists in demonstrating to what extent it ispossible.

Monogamy of particle statistics in tripartite systems simulating bosons and fermions