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Quantum Information Processing
Erschienen in: Quantum Information Processing 1/2019

01.01.2019

Finer distribution of quantum correlations among multiqubit systems

verfasst von: Zhi-Xiang Jin, Shao-Ming Fei

Erschienen in: Quantum Information Processing | Ausgabe 1/2019

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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 (\(\alpha \ge 2\)) power of concurrence, and a class of polygamy inequalities for multiqubit entanglement in terms of the \(\beta \)th (\(0\le \beta \le 2\)) 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, 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.
Vorheriger Artikel Monogamy properties of qubit systems
Nächster Artikel Separability of multi-qubit states in terms of diagonal and anti-diagonal entries

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Metadaten
Titel
Finer distribution of quantum correlations among multiqubit systems
verfasst von
Zhi-Xiang Jin
Shao-Ming Fei
Publikationsdatum
01.01.2019
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 1/2019
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-018-2137-x

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