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The Einstein-Podolsky-Rosen paradox and quantum entanglement are at the heart of quantum mechanics. Here we show that single-pass traveling-wave second-harmonic generation can be used to demonstrate both entanglement and the paradox with continuous variables that are analogous to the position and momentum of the original proposal. PACS number(s): 42.50. Xa, 42.50.Lc, 42.50.Dv, 03.65.Ud FIG. 3. Variances of the combined quadratures, X − and Ŷ + , and the sum of these. The line at a value of 4 isdoi:10.1103/physreva.70.035801 fatcat:4qbhqfnxwbhlfmotgtrmlqy3za