Any entanglement of assistance is polygamous
arXiv:1710.06048 · doi:10.1007/s11128-018-1996-5
Abstract
We propose a condition for a measure of quantum correlation to be polygamous without the traditional polygamy inequality. It is shown to be equivalent to the standard polygamy inequalities for any continuous measure of quantum correlation with the polygamy power. We then show that any entanglement of assistance is polygamous but not monogamous and any faithful entanglement measure is not polygamous.
5 pages
References in corpus (21)
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- General Monogamy Inequality for Bipartite Qubit Entanglement
- On the quantum, classical and total amount of correlations in a quantum state
- Monogamy Inequality in terms of Negativity for Three-Qubit States
- Entanglement monogamy of multipartite higher-dimensional quantum systems using convex-roof extended negativity
- Entanglement monogamy relations of qubit systems
- Duality for monogamy of entanglement
- Correlations in local measurements on a quantum state, and complementarity as an explanation of nonclassicality
- Deterministic Entanglement of Assistance and Monogamy Constraints
- Schur complement inequalities for covariance matrices and monogamy of quantum correlations
- Monogamy of entanglement without inequalities
- Polygamy of Distributed Entanglement
- Monogamy equalities for qubit entanglement from Lorentz invariance
- Monogamy of Quantum Discord by Multipartite Correlations
- General polygamy inequality of multi-party quantum entanglement
- Anisotropic invariance and the distribution of quantum correlations
- Entangled bases with fixed Schmidt number
- Quantum correlation exists in any non-product state
- Monogamy Relation in No-disturbance Theories
- Quantum correlation induced by the average distance between the reduced states
- Polygamy of Entanglement in Multipartite Quantum Systems
Cited by in corpus (17)
- Monogamy of the Entanglement of Formation
- Superactivation of monogamy relations for nonadditive quantum correlation measures
- Complementary Quantum Correlations among Multipartite Systems
- Monogamy of entanglement for tripartite systems
- Tighter monogamy and polygamy relations of multiparty quantum entanglement
- On monogamy and polygamy relations of multipartite systems
- Generalized Entanglement Monogamy and Polygamy Relations for N -Qubit Systems
- Polygamy relations of multipartite systems
- Tighter generalized monogamy and polygamy relations for multiqubit systems
- Polygamy relations of multipartite entanglement beyond qubits
- Polygamy relation of quantum correlations with equality
- Parameterized bipartite entanglement measures and entanglement constraints
- Polygamy Inequalities for Qubit Systems
- Entanglement of Assistance as a measure of multiparty entanglement
- Superior monogamy and polygamy relations and estimates of concurrence
- Monogamy and polygamy for multi-qudit generalized -class states based on concurrence of assistance and Tsallis- entanglement of assistance
- Unified monogamy and polygamy relations for multipartite systems