Noncommuting observables in quantum detection and estimation theory

@article{Helstrom1974NoncommutingOI,
  title={Noncommuting observables in quantum detection and estimation theory},
  author={Carl W. Helstrom and Robert S. Kennedy},
  journal={IEEE Trans. Information Theory},
  year={1974},
  volume={20},
  pages={16-24}
}
Basing decisions and estimates on simultaneous approximate measurements of noncommuting observables in a quantum receiver is shown to be equivalent to measuring commuting projection operators on a larger Hilbert space than that of the receiver itself. The quantum-mechanical Cramer-Rao inequalities derived from right logarithmic derivatives and symmetrized logarithmic derivatives of the density operator are compared, and it is shown that the latter give superior lower bounds on the error… CONTINUE READING

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