Abstract
Some aspects of the transition probability P(ω, ν) between states ω, ν on unital *-algebras are discussed. It is shown that P increases under the action of any stochastic linear map T, i.e., P(Tω, Tν)⩾P(ω, ν). Some properties of P are derived in starting from a recently-proved characterization of the quantity in question.
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Alberti, P.M., Uhlmann, A. Stochastic linear maps and transition probability. Lett Math Phys 7, 107–112 (1983). https://doi.org/10.1007/BF00419927
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DOI: https://doi.org/10.1007/BF00419927