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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
11/2020

Tighter constraints of multiqubit entanglement for negativity

Long-Mei Yang, Bin Chen, Shao-Ming Fei and Zhi-Xi Wang

Abstract

We provide a characterization of multiqubit entanglement monogamy and polygamy constraints in terms of negativity. Using the square of convex-roof extended negativity (SCREN) and the Hamming weight of the binary vector related with the distribution of subsystems proposed in [Phys. Rev. A 97,012334], we provide a new class of monogamy inequalities of multiqubit entanglement based on the $\alpha$th power of SCREN for $\alpha\geq1$, and polygamy inequalities for $0\leq\alpha\leq1$ in terms of squared convex-roof extended negativity of assistance (SCRENoA). For the case $\alpha<0$, we give the corresponding polygamy and monogamy relations for SCREN and SCRENoA, respectively. We also show that these new inequalities give rise to tighter constraints than the existing ones.

Received:
Jan 19, 2020
Published:
Jan 19, 2020

Related publications

inJournal
2020 Repository Open Access
Long-Mei Yang, Bin Chen, Shao-Ming Fei and Zhi-Xi Wang

Tighter constraints of multiqubit entanglement for negativity

In: Quantum information processing, 19 (2020) 1, p. 4