Measuring weighting factor of eigenstates in quantum superposition by classical mechanical ‘quantum’ computer

We design classical apparatuses to measure the weighting factor of eigenstates without breaking the quantum mechanical superposition state. The apparatuses work as "quantum" computer even though they follow classical physics. To do quantum computation, we need to know what percentage of a particular state is included in a superposed quantum state. However, we face difficulties that large-scale equipment, such as cryogenic temperature, is required to maintain the overlap. Combining causal formulation of quantum mechanics and mediocre classical mechanism overcomes the situation. The weighting coefficients of the superposition can be determined by monitoring the trajectory of a classical particle under quantum flucutation force. Such monitoring is possible only in macroscopic physics. Efficacy of our macroscopic apparatus model is shown in one of typical quantum algorithms, Deutsch algorithm. This classical mechanical design opens the way for "quantum mechanical" artificial intelligence to be mounted on robots in usual macroscopic world.