1973
DOI: 10.1109/tit.1973.1055103
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Multiple-parameter quantum estimation and measurement of nonselfadjoint observables

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Cited by 238 publications
(311 citation statements)
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“…Quantum versions for inequalities under the smoothness assumptions, i.e., Quantum Cramér-Rao (QCR) inequality ( [12], [15], [24]) and Quantum Bhattacharyya (QB) inequality ( [5]), have already been studied a lot.…”
Section: Quantum Estimation Theory With Smoothness Assumptions (I)mentioning
confidence: 99%
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“…Quantum versions for inequalities under the smoothness assumptions, i.e., Quantum Cramér-Rao (QCR) inequality ( [12], [15], [24]) and Quantum Bhattacharyya (QB) inequality ( [5]), have already been studied a lot.…”
Section: Quantum Estimation Theory With Smoothness Assumptions (I)mentioning
confidence: 99%
“…We consider singular submodels of Gaussian state model, whose theory ( [24,15]) is reviewed in the next subsection. In last subsection of this section, we study a vector valued submodel of Gaussian state model, to see the effect of non-commutativity explicitly.…”
Section: Submodels Of Gaussian State Modelmentioning
confidence: 99%
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“…It was extended to a quantum mechanical formalism in the 1960's by Helstrom [9] and later by Yuen and Lax [28], see [10] for the rigorous version.…”
Section: Introductionmentioning
confidence: 99%
“…The first papers dealing with quantum statistical problems appeared in the seventies [23,56,55,6,24] and tackled issues such as quantum Cramér-Rao bounds for unbiased estimators, optimal estimation for families of states possessing a group symmetry, estimation of Gaussian states, optimal discrimination between non-commuting states. In recent years there has been a renewed interest in the field [21,22,36,5] and the advances in quantum engineering have led to the first practical implementations of theoretical methods [1,16,43].…”
Section: Introductionmentioning
confidence: 99%