Drop the quantum computer
"This phenomenon, originally explored by Albert Einstein and Erwin Schrödinger, states that two or more particles can be made to exhibit certain physical properties, and the change to one particle will immediately change the other, even if they are miles apart. Einstein humorously referred to this as 'spooky action at a distance'."
If they really do have instantaneous change over 11 miles, this could be the beginnings of an ansible. They should be working on getting worldwide instantaneous communication and if it works at room temperature, will be much easier to achieve than a supercold computer.
OK a quantum computer is also a laudable aim but unhackable communications sounds much more achievable at the moment.