Instruments and mutual entropies in quantum information

  title={Instruments and mutual entropies in quantum information},
  author={Alberto Barchielli and G. Lupieri},
  journal={Banach Center Publications},
  • Alberto Barchielli, G. Lupieri
  • Published 2004
  • Mathematics, Physics
  • Banach Center Publications
  • General quantum measurements are represented by instruments. In this paper the mathematical formalization is given of the idea that an instrument is a channel which accepts a quantum state as input and produces a probability and an a posteriori state as output. Then, by using mutual entropies on von Neumann algebras and the identification of instruments and channels, many old and new informational inequalities are obtained in a unified manner. Such inequalities involve various quantities which… CONTINUE READING
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