Shen, Y.Assad, S. M.Grosse, N. B.Li, X. Y.Reid, M. D.Lam, P. K.2015-05-152015-05-150031-9007http://hdl.handle.net/1885/13489The Einstein-Podolsky-Rosen (EPR) paradox, which was formulated to argue for the incompleteness of quantum mechanics, has since metamorphosed into a resource for quantum information. The EPR entanglement describes the strength of linear correlations between two objects in terms of a pair of conjugate observables in relation to the Heisenberg uncertainty limit. We propose that entanglement can be extended to include nonlinear correlations. We examine two driven harmonic oscillators that are coupled via third-order nonlinearity can exhibit quadraticlike nonlinear entanglement which, after a projective measurement on one of the oscillators, collapses the other into a cat state of tunable size.This research is supported by the Australian Research Council (Projects No. CE110001027 and No. DP1092891).5 pages© 2015 American Physical Societyhttp://www.sherpa.ac.uk/romeo/issn/0031-9007/..."Publisher's version/PDF may be used. On author's personal website, employer's website or institutional repository" from SHERPA/RoMEO site (as at 15/05/15)2015-03-1310.1103/PhysRevLett.114.1004032016-06-14