Efficient measurements, purification, and bounds on the mutual information

@article{Jacobs2003EfficientMP,
  title={Efficient measurements, purification, and bounds on the mutual information},
  author={K. Jacobs},
  journal={Physical Review A},
  year={2003},
  volume={68},
  pages={054302}
}
  • K. Jacobs
  • Published 2003
  • Physics
  • Physical Review A
  • When a measurement is made on a quantum system in which classical information is encoded, the measurement reduces the observers' average Shannon entropy for the encoding ensemble. This reduction, being the mutual information, is always non-negative. For efficient measurements the state is also purified; that is, on average, the observers' von Neumann entropy for the state of the system is also reduced by a non-negative amount. Here we point out that by rewriting a bound derived by Hall [Phys… CONTINUE READING
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