Some of the older International machines came with what they called Fast Hitch, a two point style hitch. It's set up with lower links kind of similar to the hitch receiver tube on an automobile, but narrower. A male, barbed prong on the implement slides into each lower link and clicks into place. The advertised advantage was the ability to back up to the implement, click in, lift and drive away, without ever getting off the tractor. The Fast Hitch doesn't have a top link, the male/female connection adds the rigidity to the system.
The three point is now the standard, common system. Two lower lift arms attach to pins on the implement and provide lifting force. A top link, usually adjustable, connects the top of the implement to the tractor, and provides rigidity to the system, allowing the implement to raise at the rear as well as the front.
As California described, the two point system on Japanese compacts like your Yanmar is basically two lifting rods that lift the body of a tiller and a central connection at or near the PTO. There are different styles, some attach to a bracket on the rear of the tractor, others bolt directly onto the transmission housing.
Some, like the YM2000, have a hybrid setup where a very short rigid top link bracket attaches to the tractor, and a shorter link provides limited articulation for the top of the implement, a way to closely couple the tiller for increased maneuverability.
I don't know what the YM1600 came with for a factory tiller attachment, but, as California said, conversion parts are readily available to construct a standard 3 point hitch. If you have the implements, I see no reason why your YM 1600 wouldn't work fabulously with Fast Hitch implements for a Cub.