English

Tighter generalized monogamy and polygamy relations for multiqubit systems

Quantum Physics 2020-10-14 v2

Abstract

We present a different kind of monogamy and polygamy relations based on concurrence and concurrence of assistance for multiqubit systems. By relabeling the subsystems associated with different weights, a smaller upper bound of the α\alphath (0α20\leq\alpha\leq2) power of concurrence for multiqubit states is obtained. We also present tighter monogamy relations satisfied by the α\alphath (0α20\leq\alpha\leq2) power of concurrence for NN-qubit pure states under the partition ABAB and C1...CN2C_1 . . . C_{N-2}, as well as under the partition ABC1ABC_1 and C2CN2C_2\cdots C_{N-2}. These inequalities give rise to the restrictions on entanglement distribution and the trade off of entanglement among the subsystems. Similar results are also derived for negativity.

Keywords

Cite

@article{arxiv.1912.05076,
  title  = {Tighter generalized monogamy and polygamy relations for multiqubit systems},
  author = {Zhi-Xiang Jin and Shao-Ming Fei},
  journal= {arXiv preprint arXiv:1912.05076},
  year   = {2020}
}

Comments

8 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:1905.01613

R2 v1 2026-06-23T12:42:13.919Z