Monogamy properties of qubit systems

Abstract

We investigate monogamy relations related to quantum entanglement for $n-$qubit quantum systems. General monogamy inequalities are presented to the $\beta$th $(\beta \in (0,2))$ power of concurrence, negativity and the convex-roof extended negativity, as well as the $\beta$th $(\beta \in (0,\sqrt{2}))$ power of entanglement of formation. These monogamy relations are complementary to the existing ones with different regions of parameter $\beta$. In additions, new monogamy relations are also derived which include the existing ones as special cases.

13pages, 2 figures

References in corpus (7)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Concurrence of arbitrary dimensional bipartite quantum states
• Optimal entanglement criterion for mixed quantum states
• Entanglement monogamy relations of qubit systems
• Lower bounds on concurrence and separability conditions
• Optimal entanglement witnesses based on local orthogonal observables
• Tighter monogamy relations in multipartite systems

Cited by in corpus (8)

• Monogamy relations for generalized W class states in terms of Tsallis entropy beyond qubits
• Complementary Quantum Correlations among Multipartite Systems
• Tightening monogamy and polygamy relations of unified entanglement in multipartite systems
• On monogamy and polygamy relations of multipartite systems
• Monogamy and polygamy relations of quantum correlations for multipartite systems
• General Monogamy and polygamy properties of quantum systems
• General monogamy and polygamy relations of arbitrary quantum correlations for multipartite systems
• Monogamous nature of symmetric multiqubt states with distinct spinors