Negativity and tight constraints of multiqubit entanglement
Jeong San Kim · Physical Review A · 2018
We provide a characterization of multiqubit entanglement constraints in terms of negativity. By using the square of convex-roof extended negativity (SCREN) and the Hamming weight of the binary vector related with the distribution of subsystems, we show that the $\ensuremath{\alpha}\mathrm{th}$ power of SCREN provides a class of monogamy inequalities of multiqubit entanglement in a tight way for $\ensuremath{\alpha}\ensuremath{\ge}1$. We further show that the $\ensuremath{\beta}\mathrm{th}$ power of SCREN also provides a class of tight polygamy inequalities for $0\ensuremath{\le}\ensuremath{\beta}\ensuremath{\le}1$.