Detecting genuine multipartite entanglement of pure states with bipartite correlations
arXiv:1210.5530 · doi:10.1103/PhysRevA.87.034301
Abstract
Monogamy of bipartite correlations leads, for arbitrary pure multi-qubit states, to simple conditions able to indicate various types of multipartite entanglement by being capable to exclude the possibility of k-separability.
arXiv commentjournal version
References in corpus (18)
- Quantum entanglement
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- The classical-quantum boundary for correlations: discord and related measures
- Multi-photon entanglement and interferometry
- Entanglement Detection in the Stabilizer Formalism
- Quantum Communication between N partners and Bell's inequalities
- Detection of multipartite entanglement in the vicinity of symmetric Dicke states
- Quantum Correlation Without Classical Correlations
- Postulates for measures of genuine multipartite correlations
- Correlation complementarity yields Bell monogamy relations
- Quantum Key Distribution between N partners: optimal eavesdropping and Bell's inequalities
- Higher entropic uncertainty relations for anti-commuting observables
- N-Qubit W States are Determined by their Bipartite Marginals
- Useful multipartite correlations from useless reduced states
- Local Realism of Macroscopic Correlations
- Experimental Schmidt Decomposition and Entanglement Detection
- N-particle nonclassicality without N-particle correlations
- Reducible Correlations in Dicke States
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- Shareability of Quantum Steering and its Relation with Entanglement
- Characterizing quantum states via sector lengths
- Complementarity between Tripartite Quantum Correlation and Bipartite Bell Inequality Violation in Three Qubit States
- Genuine -partite entanglement without -partite correlation functions
- Some Ulam's reconstruction problems for quantum states
- Genuinely entangled symmetric states with no -partite correlations
- Detection of genuine tripartite entanglement based on Bloch representation of densitymatrices
- Correlation-based entanglement criterion in bipartite multiboson systems
- Unified approach to geometric and positive-map-based non-linear entanglement identifiers
- A Sharp Geometric Measure of Entanglement
- Uniform Entanglement Frames
- Planar k-Uniform States: a Generalization of Planar Maximally Entangled States
- Characterizing multipartite entanglement by violation of CHSH inequalities
- Multiqubit monogamy relations beyond shadow inequalities
- Conditions for 3-partite and 4-partite genuine entanglement
- Graph connectivity based strong quantum nonlocality with genuine entanglement