Monogamy inequality in terms of entanglement measures based on distance for pure multiqubit states

Abstract

Using very general arguments, we prove that any entanglement measures based on distance must be maximal on pure states. Furthermore, we show that Bures measure of entanglement and geometric measure of entanglement satisfy the monogamy inequality on all pure multiqubit states. Finally, using the power of Bures measure of entanglement and geometric measure of entanglement, we present a class of tight monogamy relations for pure states of multiqubit systems.

7 pages

References in corpus (6)

• General Monogamy Inequality for Bipartite Qubit Entanglement
• Monogamy Inequality in terms of Negativity for Three-Qubit States
• Is Entanglement Monogamous?
• Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
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Cited by in corpus (5)

• Monogamy of Entanglement Measures Based on Fidelity in Multiqubit Systems
• Tighter parameterized monogamy relations
• Tighter monogamy relations in multiparty quantum systems
• Tighter monogamy relations of entanglement measures based on fidelity
• Emergence of Monogamy under Static and Dynamic Scenarios