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  1. Fidelity and Mistaken Identity for Symplectic Quantum States.Andreas Henriksson - manuscript
    The distinguishability between pairs of quantum states, as measured by quantum fidelity, is formulated on phase space. The fidelity is physically interpreted as the probability that the pair are mistaken for each other upon an measurement. The mathematical representation is based on the concept of symplectic capacity in symplectic topology. The fidelity is the absolute square of the complex-valued overlap between the symplectic capacities of the pair of states. The symplectic capacity for a given state, onto any conjugate plane of (...)
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  • On the Second Law of Thermodynamics.Andreas Henriksson - manuscript
    In this article, it is argued that, given an initial uncertainty in the state of a system, the information possessed about the system, by any given observer, tend to decrease exponentially until there is none left. By linking the subjective, i.e. observer dependent, concepts of information and entropy, the statement of information decrease represent an alternative formulation of the second law of thermodynamics. With this reformulation, the connection between the foundations of statistical mechanics and classical mechanics is clarified. In conclusion, (...)
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