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The ability to control and hence to realize a given number of photons is ofmajor interest from a fundamental point of view, e.g. Bell inequalities,photons bunching. In recent years this interest has grown by the so-called the"Second Quantum Revolution" where such an ability is needed for quantumcomputers, etc. In this paper, we show that such a realization can not be doneby a unitary process. Therefore, a non-unitary interferometer is given to builda full realization of the tensor product space for two photons at two states.Finally, by modifying the previous interferometer, the full tonsorial productspace of N photons in two states is shown.

Full Realization Scheme of the Tensor Product Space of N Distinguishable Photons in Two States