Monogamy inequality for any local quantum resource and entanglement

Abstract

We derive a monogamy inequality for any local quantum resource and entanglement. It results from the fact that there is always a convex measure for a quantum resource, as shown here, and from the relation between entanglement and local entropy. One of its consequences is an entanglement monogamy different from that usually discussed. If the local resource is nonuniformity or coherence, it is satisfied by familiar resource and entanglement measures. The ensuing upper bound for the local coherence, determined by the entanglement, is independent of the basis used to define the coherence.

References in corpus (6)

• Measuring Quantum Coherence with Entanglement
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Monogamy Inequality in terms of Negativity for Three-Qubit States
• Maximal coherence in generic basis
• Monogamy inequality for entanglement and local contextuality
• Simple state preparation for contextuality tests with few observables

Cited by in corpus (20)

• Monogamy of entanglement without inequalities
• Multipartite Entanglement Measure and Complete Monogamy Relation
• Monogamy of the Entanglement of Formation
• Internal entanglement and external correlations of any form limit each other
• Measure-independent anomaly of nonlocality
• When is a Genuine Multipartite Entanglement Measure Monogamous?
• Correlation constraints and the Bloch geometry of two qubits
• Realization of the tradeoff between internal and external entanglement
• Monogamy of Logarithmic Negativity and Logarithmic Convex-Roof Extended Negativity
• Monogamy of Entanglement Measures Based on Fidelity in Multiqubit Systems
• Trade-off relations of l_1-norm coherence for multipartite systems
• Quantifying nonlocality as a resource for device-independent quantum key distribution
• Observation of the tradeoff between internal quantum nonseparability and external classical correlations
• Entanglement partners and monogamy in de Sitter universes
• Note on Product-Form Monogamy Relations for Nonlocality and Other Correlation Measures
• Existence of maximally correlated states
• Maximum Violation of Monogamy of Entanglement for Indistinguishable Particles by Measures that are Monogamous for Distinguishable Particles
• Monogamy-of-entanglement-inspired protocol to quantify bipartite entanglement using spin squeezing
• Multipartite Monogamy of Entanglement for Three Qubit States
• Experimentally realized local-global tradeoff in quantum resources