Hey Rich,
It depends on your source material. If you're spinning a CD4 / Quadradisc record, you need* a CD4 cart and the CD4 demodulator. If your source material is SQ encoded (rear channels encoded out of phase along side the 2 front channels) then no special carts and demodulators are necessary,
*but* you do need an SQA module to decode the rear channels.
It's easy to conflate the various Quad implementations, but aside from having 4 channels, they're technically quite different (in the same way, for instance, that Betamax and VHS both displayed an NTSC video signal but utilized different hardware and media).
Because it didn't require a different cartridge and was therefore easier to use alongside your existing library of stereo media, SQ (and its derivatives) was the most popular format. Unfortunately, Marantz's SQA modules all have some limitations. The 1 has poor channel separation, but is the least failure prone. The 2B offers the best channel separation (although not as good as Sansui's excellent QRX line), but relies on an unobtanium IC, so if it dies, it's dead. 2(a) lacks some of the 2Bs superior performance and the 1's reliability, but if it's working, enjoy it!
CD4 may have achieved better channel separation on paper, but the media is fragile, with twice the amount of information in each groove of the record. *Also, while you may not absolutely need a dedicated CD4 cart, at a minimum you need one with a Shibata stylus and at frequency response up to ~40Khz to access the additional channel info. In my experience, SQ is less fussy and the media has held up a lot better over time.
For preservation's sake, I've digitized all of my SQ and CD4 media by playing it through my modified / restored QRX-9001 and recording it in 4-ch FLAC format through a 4-channel sound card. Once you get your system up and running, track down a quad copy of DSotM. It was recorded specifically for quad and mixed / mastered by Alan Parsons. It's quite different than the standard stereo recording, and (IMO) "Time" in quad is a spiritual experience

Have fun!