A quantum circuit to generate random numbers within a specific interval

Abstract Random numbers are of vital importance in fields such as cyptography and scientific simulations. However, it is well known how difficult for classical computers to generate random numbers. This not the case quantum computers, which able genuinely thanks property superposition their counter-intuitive concept measurement. despite simplicity designing a circuit that generates number between 0 $2^{N}-1$ 2 N − 1 (being N available qubits), within specific interval far from trivial. paper proposes customizable design The non- hardware dependent, allows fault-tolerance, can be used by current devices. Therefore, valuable tool all those applications algorithms need work with Moreover, comparator has also been designed part this work. best currently literature terms qubits, T-count, T-depth. It therefore useful any other or algorithm where operation needed.