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Stochastic Isometries in Quantum Mechanics
Published 26 Mar 2013 in math-ph and math.MP | (1303.6624v1)
Abstract: The class of stochastic maps, that is, linear, trace-preserving, positive maps between the self-adjoint trace class operators of complex separable Hilbert spaces plays an important role in the representation of reversible dynamics and symmetry transformations. Here a characterization of the isometric stochastic maps is given and possible physical applications are indicated.
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