Polygamy of multi-party $q$-expected quantum entanglement

Abstract

We characterize the polygamy nature of quantum entanglement in multi-party systems in terms of $q$-expectation value for the full range of $q\ge 1$. By investigating some properties of generalized quantum correlations in terms of $q$-expectation value and Tsallis $q$-entropy, we establish a class of polygamy inequalities of multi-party quantum entanglement in arbitrary dimensions based on $q$-expected entanglement measure. As Tsallis $q$-entropy is reduced to von Neumann entropy, and $q$-expectation value becomes the ordinary expectation value when $q$ tends to $1$, our results encapsulate previous results of polygamy inequalities based on von Neumann entropy as special cases.

8 pages, no figure

References in corpus (8)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Is Entanglement Monogamous?
• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
• Duality for monogamy of entanglement
• Unified entropy, entanglement measures and monogamy of multi-party entanglement
• Generalized entropic criterion for separability
• Polygamy of Distributed Entanglement
• General polygamy inequality of multi-party quantum entanglement

Cited by in corpus (1)

• Polygamy relation of quantum correlations with equality