Instruments and channels in quantum information theory |
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Authors: | A Barchielli G Lupieri |
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Institution: | (1) Dipartimento di Matematica, Politecnico di Milano, I-20133 Milano, Italy;(2) Dipartimento di Fisica, Università degli Studi di Milano, I-20133 Milano, Italy |
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Abstract: | While a positive operator valued measure gives the probabilities in a quantum measurement, an instrument gives both the probabilities and the a posteriori states. By interpreting the instrument as a quantum channel and by using the typical inequalities for the quantum and classical relative entropies, many bounds on the classical information extracted in a quantum measurement, of the type of the Holevo bound, are obtained in a unified manner. |
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