Completion of a realistic theory for a two-dimensional quantum system

There exist some no-go theorems which say that it is impossible to construct a realistic theory for quantum systems without contradictions. We, however, proposed in a recent paper a method to escape the so-called Bell-style paradox. Furthermore, we could construct a two-dimensional realistic theory which could be generalized to a higher dimensional system. Now, we introduce dynamical aspects of our theory for a two-dimensional quantum system. For a given Hamiltonian, we give a rule for the dynamics of states on the hidden variable space in such a way that the time dependence of the resulting measure exactly matches that of the corresponding quantum state. We show that the time evolution of a quantum state is implemented by a corresponding rotation of particles in the hidden variable space. We also consider a mixed state described by a density matrixm, show that the ensemble of the mixed state, a mixture of two orthogonal pure states, is a linear sum of two ensembles for pure states.