Stochastic linear maps and transition probability |
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Authors: | Peter M Alberti Armin Uhlmann |
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Institution: | (1) Sektion Physik und Naturwissenschaftlich-Theoretisches Zentrum, Karl-Marx-Universität leipzig, Karl-Marx-Platz 10, DDR-7010 Leipzig, Germany |
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Abstract: | Some aspects of the transition probability P(, ) between states , on unital *-algebras are discussed. It is shown that P increases under the action of any stochastic linear map T, i.e., P(T, T)P(, ). Some properties of P are derived in starting from a recently-proved characterization of the quantity in question. |
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