Generalized entanglement constraints in multi-qubit systems in terms of Tsallis entropy

Abstract

We provide generalized entanglement constraints in multi-qubit systems in terms of Tsallis entropy. Using quantum Tsallis entropy of order $q$, we first provide a generalized monogamy inequality of multi-qubit entanglement for $q=2$ or $3$. This generalization encapsulates multi-qubit CKW-type inequality as a special case. We further provide a generalized polygamy inequality of multi-qubit entanglement in terms of Tsallis-$q$ entropy for $1\le q\le 2$ or $3\le q\le 4$, which also contains the multi-qubit polygamy inequality as a special case.

arXiv comment6 pages, no figure