Monogamy of Particle Statistics in Tripartite Systems Simulating Bosons and Fermions

Marcin Karczewski, Dagomir Kaszlikowski, Paweł Kurzyński · Physical Review Letters · 2018

In the quantum world, correlations can take the form of entanglement which is known to be monogamous. In this Letter we show that another type of correlation, 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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