Multipartite continuous-variable entanglement

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 (2)

• Universal measurement of quantum correlations of radiation
• Comment on ``Inseparability Criteria for Continuous Bipartite Quantum States''

Cited by in corpus (7)

• Entanglement in continuous variable systems: Recent advances and current perspectives
• Entanglement conditions for two-mode states: Applications
• Nonclassical correlation properties of radiation fields
• Inseparability criteria based on matrices of moments
• Quantum Non-locality and Partial Transposition for Continuous-Variable Systems
• Entanglement conditions for multi-mode states
• Separability and entanglement of four-mode Gaussian states