Separability of Two-Party Gaussian States

Abstract

We investigate the separability properties of quantum two-party Gaussian states in the framework of the operator formalism for the density operator. Such states arise as natural generalizations of the entangled state originally introduced by Einstein, Podolsky, and Rosen. We present explicit forms of separable and nonseparable Gaussian states.

Brief Report submitted to Physical Review A, 4 pages, 1 figure

References in corpus (1)

• Quantum versus Classical Domains for Teleportation with Continuous Variables

Cited by in corpus (19)

• Inseparability inequalities for higher-order moments for bipartite systems
• Quantitative measures of entanglement in pair coherent states
• Separability criterion for separate quantum systems
• Entanglement of formation for an arbitrary two-mode Gaussian state
• Inflationary spectra and partially decohered distributions
• Witnessing Entanglement with Second-Order Interference
• Entanglement Witnesses and Measures for Bright Squeezed Vacuum
• Searching for extremal PPT entangled states
• Weakly coupled local particle detectors cannot harvest entanglement
• Cauchy-Schwarz inequality and particle entanglement
• On the P-representable subset of all bipartite Gaussian separable states
• Determining stationary-state quantum properties directly from system-environment interactions
• Gaussian maximally multipartite entangled states
• Characterization and quantification of symmetric Gaussian state entanglement through a local classicality criterion
• Nonlocality of Two-Mode Squeezing with Internal Noise
• Analytic solution of the separability criterion for continuous variable systems
• Separability criteria for continuous variable systems
• Explicit formula of the separability criterion for continuous variables systems
• Local Detection of Entanglement