Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint
14/2019

Finer Distribution of Quantum Correlations among Multiqubit Systems

Zhi-Xiang Jin and Shao-Ming Fei

Abstract

We study the distribution of quantum correlations characterized by monogamy relations in multipartite systems. By using the Hamming weight of the binary vectors associated with the subsystems, we establish a class of monogamy inequalities for multiqubit entanglement based on the $\alpha$th ($\alpha\geq 2$) power of concurrence, and a class of polygamy inequalities for multiqubit entanglement in terms of the $\beta$th ($0\leq \beta\leq2$) power of concurrence and concurrence of assistance. Moveover, we give the monogamy and polygamy inequalities for general quantum correlations.

Application of these results to quantum correlations like squared convex-roof extended negativity (SCREN), entanglement of formation and Tsallis-$q$ entanglement gives rise to either tighter inequalities than the existing ones for some classes of quantum states or less restrictions on the quantum states. Detailed examples are presented.

Received:
Feb 11, 2019
Published:
Feb 14, 2019

Related publications

inJournal
2019 Repository Open Access
Zhi-Xiang Jin and Shao-Ming Fei

Finer distribution of quantum correlations among multiqubit systems

In: Quantum information processing, 18 (2019) 1, p. 21