Approximate Quantum Adders with Genetic Algorithms: An IBM Quantum   Experience
  It has been proven that quantum adders are forbidden by the laws of quantum mechanics. We analyze theoretical proposals for the implementation of approximate quantum adders and optimize them by means of genetic algorithms, improving previous protocols in terms of efficiency and fidelity. Furthermore, we experimentally realize a suitable approximate quantum adder with the cloud quantum computing facilities provided by IBM Quantum Experience. The development of approximate quantum adders enhances the toolbox of quantum information protocols, paving the way for novel applications in quantum technologies. 
Rui Li, Unai Alvarez-Rodriguez, Lucas Lamata, and Enrique Solano
quant-ph cond-mat.mes-hall cond-mat.supr-con