Can a nikon 35mm f1.8G lens function on Canon 600d? If yes, what adapter to use?

Some people say that most adapters don't work properly. I'm looking for an adapter that would be give loss-less outputs.

No, the lenses of the different camera manufacturers use totally different mounts. You would be better off selling the Nikon lens and using the money to buy a Canon lens rather than try to rig something that won't work as well as the lenses designed for that camera do.

Not possible. Sell the Nikon lens & buy a Canon.

The Nikon F mount is narrower than the Canon EOS mount, so an adapter is available, and there's no need for optical correction. You can't use just any Nikon lens to Canon body mount. The 35mm f1,8 G DX lens has no mechanical aperture ring, so you need to choose an adapter that has iris control.
http://www.bhphotovideo.com/...r_for.html
You will have no metering or auto focus.

It can be done, but is a total waste of time and money. An adapter that allows aperture control costs as much as the Canon 35mm f/2. A dumb adapter without aperture control is cheap, but you have no auto focus, no aperture control, and no metering.

Not worth attempting.

It's not going to work properly, even with an adapter. At the very best, you will need to manual focus and manual expose your photos. And it is very likely you will lose infinity-focus, not to mention degradation of the image quality. You are going to have to stay with a Canon EF/EF-S mount lens.