NASA NTRS ยท 19720014025
Noncommunting 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. The lower bounds on mean square errors of parameter estimates predicted by the quantum-mechanical Cramer-Rao inequality can also not be reduced by such means.
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Helstrom, C. W.. 1971-12-10. Noncommunting observables in quantum detection and estimation theory. https://ntrs.nasa.gov/citations/19720014025
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