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

We provide generalized entanglement constraints in multi-qubit systems in terms of Tsallis entropy. Using quantum Tsallis entropy of order qq, we first provide a generalized monogamy inequality of multi-qubit entanglement for q=2q=2 or 33. This generalization encapsulates the multi-qubit CKW-type inequality as a special case. We further provide a generalized polygamy inequality of multi-qubit entanglement in terms of Tsallis-qq entropy for 1≤q≤21≤q≤2 or 3≤q≤43≤q≤4, which also contains the multi-qubit polygamy inequality as a special case.