I think there are many studies which prove that a low carb diet causes candida to become more severe but this is because the candida starves so it embeds deeper looking for food. The theory was that starving the candida while taking anti-fungals though is the only way to get rid of the problem.
I myself have actually started taking a ton of natural antifungals and cut out all carbs and since then I've had a sore throat to the point of coughing blood and now in day 16 I had some blood leak out my ear, so I am definitely concerned.