Multipartite continuous-variable entanglement
arXiv:quant-ph/0605154 · doi:10.1103/PhysRevA.74.030302
Abstract
Necessary and sufficient observable conditions for the nonnegativity of all partial transpositions of multi-mode quantum states are derived. The result is a hierarchy of inequalities for minors in terms of moments of the given state. Violations of any inequality is a sufficient condition for entanglement. Full entanglement can be certified for a manifold of multi-mode quantum states. A \textit{Mathematica} package is given for a systematic test of the hierarchy of conditions.
4 pages, 1 figures, modified and corrected version
References in corpus (16)
- Separability Criterion for Density Matrices
- Quantum information with continuous variables
- Separability of Mixed States: Necessary and Sufficient Conditions
- Peres-Horodecki separability criterion for continuous variable systems
- Inseparability criterion for continuous variable systems
- Separability criterion and inseparable mixed states with positive partial transposition
- Unextendible Product Bases and Bound Entanglement
- Entangling macroscopic oscillators exploiting radiation pressure
- Entanglement conditions for two-mode states
- Inseparability criteria for bipartite quantum states
- Classification of multi-qubit mixed states: separability and distillability properties
- Optimal entanglement witnesses for continuous-variable systems
- Inseparability inequalities for higher-order moments for bipartite systems
- Separability criterion for separate quantum systems
- Universal measurement of quantum correlations of radiation
- Comment on ``Inseparability Criteria for Continuous Bipartite Quantum States''
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- Fidelity matters: the birth of entanglement in the interference of Gaussian states
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- Quantum Non-locality and Partial Transposition for Continuous-Variable Systems
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- Hierarchies of multipartite entanglement for continuous-variable states
- Entanglement in atomic resonance fluorescence
- Separability and entanglement of four-mode Gaussian states
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- When Non-Gaussian States are Gaussian: Generalization of Non-Separability Criterion for Continuous Variables
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