Monogamy of particle statistics in tripartite systems simulating bosons and fermions. (arXiv:1802.02404v1 [quant-ph])

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

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