As has been reported in the media, there are some diets based on severe calorie restriction such as Newcastle, or the 8 week blood sugar diet from Michael Mosley and others based on slimfast shakes such as the Cambridge Diet. These are not low carb, but do have a good level of scientific / medical success in reducing Insulin Resistance to the point where there are valid claims for remission.
I personally try to follow the Pioppi diet from Dr Aseem Malhotra who is a reknowned cardiologist in the UK - his diet is based on the Mediterranean Diet but with an LC slant, and it works well for me, The Med diet has also been associated with good bgl control, but is not particularly noted for remission success per se.