NASA NTRS · 19720005959
Noncommuting observables in quantum detection and estimation theory
Abstract
In quantum detection theory, the optimum detection operators must commute; admitting simultaneous approximate measurement of noncommuting observables cannot yield a lower Bayes cost. In addition, the lower bounds on mean square errors of parameter estimates, predicted by the quantum mechanical Cramer-Rao inequality, cannot be reduced by such means.
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Helstrom, C. W.. 1971-01-01. Noncommuting observables in quantum detection and estimation theory. https://ntrs.nasa.gov/citations/19720005959
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