Simulating and executing circuits employing the quantum computing paradigm

Although Quantum Computing was introduced several decades ago, today is a hot-topic under research and development. Due to the technological difficulties to fabricate this type of computers, the employment of simulators become critical in order to allow researchers developing algorithms that can leverage the unique features of quantum computers, such as the case of Shor's or Grover's algorithms. Then, it is essential for these simulations to be as close as possible to the real results. In this paper we present a comparison between simulations and real executions of a 2-qubit adder. As the experiments show, the backends provided by IBM are able to obtain comparable simulated results to those obtained in real quantum computers.