  We present a formalism to derive entanglement criteria beyond the Gaussian
regime that can be readily tested by only homodyne detection. The measured
observable is the Einstein-Podolsky-Rosen (EPR) correlation. Its arbitrary
functional form enables us to detect non-Gaussian entanglement even when an
entanglement test based on second-order moments fails. We illustrate the power
of our experimentally friendly criteria for a broad class of non-Gaussian
states under realistic conditions. We also show rigorously that quantum
teleportation for continuous variables employs a specific functional form of
EPR correlation.
