Discrete energy level form in quantum mechanical systems and if carefully measured the population density of the levels can be probed and manipulated. The consequence of this idea is that it should be possible to build quantum computers by manipulating these levels. However the population density is difficult to measure, we propose to use the commonly formed F-mu-F state in PTFE to form an entangled state using muons. The population of the entangled states can be controlled with RF excitation and importantly the states formed are truly isolated. We will exploit the intensity of the muon beam to create an isolated system and probe the population with high statistics, this is a combination difficult to achieve with other techniques. This is a new technique to investigate a timely and fascinating problem with eventual real world applications.