Does Monogamy of Entanglement hold universally? By Goutam Paul

Описание: Monogamy of entanglement is considered a fundamental property in the quantum regime. Though not all measures of entanglement are monogamous, still, typically the monogamy property holds for all reasonable measures. However, if we shift our focus from the typical distinguishable particles to the indistinguishable ones, some counter-intuitive results emerge. They obey monogamy at the particle level, but can violate the same at the degree-of-freedom (DoF) level with respect to the same measure. For distinguishable particles, there is no essential difference between a particle and its DoF, from the point of view of the Hilbert space structure. On the other hand, as our results indicate, DoFs of indistinguishable particles behave differently from particles and more investigations are needed to unveil their inner nature.