Quantum Magellan Effect

Physics – Quantum Physics

Scientific paper

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8 pages, no figures

Scientific paper

In this work we consider remarkable experiment of the quantum dynamical interaction between a photon and fixed beam splitter with additional two optical fibers. Given fibers, having "circular", almost completely closed loop forms, admit that both superposition terms, corresponding to reflecting and passing photon, interact unlimitedly periodically with splitter. For increasing number of given interactions final state of the photon tends to superposition of reflecting and passing photon with equivalent superposition coefficients quite independently of their initial values. So, many time repeated unitary quantum dynamical evolution implies an unexpected degeneration. Feynman ingeniously observed that a time of the degeneration of the ideas will come, known to any great geographer-explorer (e.g. Magellan that first circumnavigate Earth), when he thinks about the army of the tourists that will come after him. For this reason mentioned dynamical degeneration will be called quantum Magellan effect. Also, we consider quantum Magellan effect with measurements realized on the photon by movable beam splitter. For increasing number of given measurements photon finally, but slower that by effect without any measurement, tends to mixed state of reflecting and passing photon with equivalent statistical weights quite independently of the initial statistical weights. So, there is again an unexpected quantum dynamical degeneration done slower by frequent measurements. All this is discussed from different aspects including principles of quantum computing.

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