Monogamy of particle statistics in tripartite systems simulating bosons and fermions

TL;DR

This paper explores how the quantum property of indistinguishability, akin to entanglement monogamy, limits the ability of particles to simulate bosons and fermions simultaneously in tripartite systems.

Contribution

It introduces the concept of monogamy of indistinguishability and quantifies its restrictions in simulating different particle statistics.

Findings

Particles simulating bosons cannot perfectly imitate fermions with others.

Indistinguishability correlations are subject to monogamy constraints.

The extent of simulation limitations is quantitatively demonstrated.

Abstract

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.