We establish a characterization of multi-qubit entanglement constraints in terms of non-negative power of entanglement measures based on unified- $(q,s)$ entropy. Using the Hamming weight of the binary vector related with the distribution of subsystems, we establish a class of tight monogamy inequalities of multi-qubit entanglement based on the $α$ th-power of unified- $(q,s)$ entanglement for $α\geq 1$ . For $0 \leq β\leq 1$ , we establish a class of tight polygamy inequalities of multi-qubit entanglement in terms of the $β$ th-power of unified- $(q,s)$ entanglement of assistance. Thus our results characterize the monogamy and polygamy of multi-qubit entanglement for the full range of non-negative power of unified entanglement.We establish a characterization of multi-qubit entanglement constraints in terms of non-negative power of entanglement measures based on unified-$(q,s)$ entropy. Using the Hamming weight of the binary vector related with the distribution of subsystems, we establish a class of tight monogamy inequalities of multi-qubit entanglement based on the $α$th-power of unified-$(q,s)$ entanglement for $α\geq 1$. For $0 \leq β\leq 1$, we establish a class of tight polygamy inequalities of multi-qubit entanglement in terms of the $β$th-power of unified-$(q,s)$ entanglement of assistance. Thus our results characterize the monogamy and polygamy of multi-qubit entanglement for the full range of non-negative power of unified entanglement.

arXiv:1801.09882Jan 30, 201820 citations

Hamming weight and tight constraints of multi-qubit entanglement in terms of unified entropy

Jeong San Kim

We establish a characterization of multi-qubit entanglement constraints in terms of non-negative power of entanglement measures based on unified-(q, s) entropy. Using the Hamming weight of the binary vector related with the distribution of subsystems, we establish a class of tight monogamy inequalities of multi-qubit entanglement based on the αth-power of unified-(q, s) entanglement for α ≥ 1. For 0 ≤ β ≤ 1, we establish a class of tight polygamy inequalities of multi-qubit entanglement in terms of the βth-power of unified-(q, s) entanglement of assistance. Thus our results characterize the monogamy and polygamy of multi-qubit entanglement for the full range of non-negative power of unified entanglement.We establish a characterization of multi-qubit entanglement constraints in terms of non-negative power of entanglement measures based on unified-(q, s) entropy. Using the Hamming weight of the binary vector related with the distribution of subsystems, we establish a class of tight monogamy inequalities of multi-qubit entanglement based on the αth-power of unified-(q, s) entanglement for α ≥ 1. For 0 ≤ β ≤ 1, we establish a class of tight polygamy inequalities of multi-qubit entanglement in terms of the βth-power of unified-(q, s) entanglement of assistance. Thus our results characterize the monogamy and polygamy of multi-qubit entanglement for the full range of non-negative power of unified entanglement.

Scientific ReportsAug 10, 20180 citations

Entanglement dynamics of qubits in a common environment

Jun‐Hong An, Shun-Jin Wang, Hong‐Gang Luo

arXiv:quant-ph/0604020Physica A Statistical Mechanics and its ApplicationsApr 20, 200731 citations

Pairwise entanglement in symmetric multi-qubit systems

X. Wang, Klaus Mølmer

arXiv:quant-ph/0106145The European Physical Journal DMar 1, 200264 citations

We establish a characterization of multi-qubit entanglement constraints in terms of non-negative power of entanglement measures based on unified-

(q,s)

entropy. Using the Hamming weight of the binary vector related with the distribution of subsystems, we establish a class of tight monogamy inequalities of multi-qubit entanglement based on the

α

th-power of unified-

(q,s)

entanglement for

α\geq 1

. For

0 \leq β\leq 1

, we establish a class of tight polygamy inequalities of multi-qubit entanglement in terms of the

β

th-power of unified-

(q,s)

entanglement of assistance. Thus our results characterize the monogamy and polygamy of multi-qubit entanglement for the full range of non-negative power of unified entanglement.