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 $1 \leq q \leq2$ or $3 \leq q \leq 4$ , which also contains the multi-qubit polygamy inequality as a special case.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 $1 \leq q \leq2$ or $3 \leq q \leq 4$, which also contains the multi-qubit polygamy inequality as a special case.

arXiv:1603.02760Mar 9, 20160 citations

Quantum information entropy and multi-qubit entanglement

Mahmoud Abdel‐Aty

Progress in Quantum ElectronicsJan 1, 200758 citations

Quantum entanglement in multi-qubit systems

최정운

Jan 1, 20040 citations

Tsallis entropy and entanglement constraints in multiqubit systems

Jeong San Kim

We show that the restricted shareability and distribution of multiqubit entanglement can be characterized by Tsallis- $q$ entropy. We first provide a class of bipartite entanglement measures named Tsallis- $q$ entanglement, and provide its analytic formula in two-qubit systems for $1\ensuremath{\leqslant}q\ensuremath{\leqslant}4$. For $2\ensuremath{\leqslant}q\ensuremath{\leqslant}3$, we show a monogamy inequality of multiqubit entanglement in terms of Tsallis- $q$ entanglement, and we also provide a polygamy inequality using Tsallis- $q$ entropy for $1\ensuremath{\leqslant}q\ensuremath{\leqslant}2$ and $3\ensuremath{\leqslant}q\ensuremath{\leqslant}4$.We show that the restricted shareability and distribution of multiqubit entanglement can be characterized by Tsallis-$q$ entropy. We first provide a class of bipartite entanglement measures named Tsallis-$q$ entanglement, and provide its analytic formula in two-qubit systems for $1\ensuremath{\leqslant}q\ensuremath{\leqslant}4$. For $2\ensuremath{\leqslant}q\ensuremath{\leqslant}3$, we show a monogamy inequality of multiqubit entanglement in terms of Tsallis-$q$ entanglement, and we also provide a polygamy inequality using Tsallis-$q$ entropy for $1\ensuremath{\leqslant}q\ensuremath{\leqslant}2$ and $3\ensuremath{\leqslant}q\ensuremath{\leqslant}4$.

arXiv:0911.5181Physical Review AJun 21, 2010135 citations

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

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 \leq q \leq2

3 \leq q \leq 4

, which also contains the multi-qubit polygamy inequality as a special case.

We show that the restricted shareability and distribution of multiqubit entanglement can be characterized by Tsallis-

q

entropy. We first provide a class of bipartite entanglement measures named Tsallis-

q

entanglement, and provide its analytic formula in two-qubit systems for $1\ensuremath{\leqslant}q\ensuremath{\leqslant}4$. For $2\ensuremath{\leqslant}q\ensuremath{\leqslant}3$, we show a monogamy inequality of multiqubit entanglement in terms of Tsallis-

q

entanglement, and we also provide a polygamy inequality using Tsallis-

q

entropy for $1\ensuremath{\leqslant}q\ensuremath{\leqslant}2$ and $3\ensuremath{\leqslant}q\ensuremath{\leqslant}4$.