Abstract
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 e ciency and delity. 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.