Matrixed quad systems like SQ, QS, and EV-4 work over any two-channel stereo format, so any stereo radio station that plays one of those recordings instantly become a "quadraphonic radio station", even today. But the front-to-rear separation isn't nearly as good as discrete quad systems, in which the four channels of audio are kept separate.
Various methods of using a subcarrier to transmit discrete rear channel audio were experimented with in the 1970s, but none became a standard. Lou Dorren, who worked with JVC and RCA to develop the CD-4 Quadradisc system, claims the FCC chose his method of discrete quad FM in 1983, but actually all the Reagan-era FCC did was deregulate FM subcarriers and allow stations to use them for anything as long as it doesn't cause any interference.