Special Pizza Seminar

Polygamy of Entanglement of Assistance: Dual Monogamy Inequality for Entanglement

Som Bandyopadhyay

Université de Montréal

A fundemantal property of entanglement is that it is monogamous. That is, if two quantum systems A and B are strongly entangled then neither of them can be strongly entangled to a third system C. Monogamy inequalities capture this necessary trade-off between the amount of entanglement A can share with B and A can share with C.

We will first discuss the general monogamy inequalitiy (Coffman-Kundu-Wootters) pertaining to N qubits (spin 1/2 particles). Next we will present a dual monogamy inequality based on entanglement of assistance. While monogamy inequalities provide an upper bound for bipartite sharability of entanglement in multipartite systems, we will show that the same quantity is also a lower bound for distribution of bipartite entanglement.