Forbidden regimes in the distribution of bipartite quantum correlations due to multiparty entanglement
arXiv:1505.01748 · doi:10.1016/j.physleta.2017.03.026
Abstract
Monogamy is a nonclassical property that limits the distribution of quantum correlation among subparts of a multiparty system. We show that monogamy scores for different quantum correlation measures are bounded above by functions of genuine multipartite entanglement for a large majority of pure multiqubit states. The bound is universal for all three-qubit pure states. We derive necessary conditions to characterize the states that violate the bound, which can also be observed by numerical simulation for a small set of states, generated Haar uniformly. The results indicate that genuine multipartite entanglement restricts the distribution of bipartite quantum correlations in a multiparty system.
15 pages, 3 figures, elsarticle, this is an author-created, un-copyedited final accepted version
References in corpus (11)
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Quantifying entanglement resources
- Quantum steering ellipsoids, extremal physical states and monogamy
- Probability density function characterization of multipartite entanglement
- Entanglement in the Majumdar-Ghosh model
- Hierarchical monogamy relations for the squared entanglement of formation in multipartite systems
- Do Large Number of Parties Enforce Monogamy in All Quantum Correlations?
- Maximally dense coding capable quantum states
- Conditions for monogamy of quantum correlations in multipartite systems
- Lower bounds on violation of monogamy inequality for quantum correlation measures
- Simple Algorithms for Multi-term Bell-like Bases and Their Quantum Correlations
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- Production of genuine multimode entanglement in circular waveguides with long-range interactions
- Controlling gain with loss: Bounds on localizable entanglement in multi-qubit systems
- Distinguishing Phases via Non-Markovian Dynamics of Entanglement in Topological Quantum Codes under Parallel Magnetic Field
- Recovery of resources through sequential noisy measurements
- Emergence of Monogamy under Static and Dynamic Scenarios
- Logarithmic growth of peripheral entanglement concentrated via noisy measurements in a star network of spins