Quantum distinguishability and symplectic topology

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SUMMARY

    What are the key character traits of quantum mechanics which distinguish it from classical mechanics? Several features could be mentioned, including e_g the quantum indeterminacy relation, the superposition of complexvalued probability amplitudes, quantum entanglement, and non-locality, to mention some. To the best of the author`s knowledge, there is no wellknown definition of fidelity in the other most commonly used mathematical representations of non-relativistic quantum mechanics, e_g the phase-space formulation or the spacetime approach by Feynman. Given the existence of well-defined mathematical representations of the concept of quantum distinguishability, given . . .

     

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