Quantum physics isn’t illogical. If it were illogical then there wouldn’t be any point in trying to study it scientifically, or model it with mathematics. Indeed, many aspects of quantum physics were derived mathematically (that is to say, using logic) before they were tested and verified experimentally.
Quantum physics is just very counter-intuitive, because matter on that very small scale doesn’t behave in ways that we’re used to dealing with in the every-day world that we perceive.
