Uncertainty relations for noise and disturbance in generalized quantum measurements
نویسندگان
چکیده
منابع مشابه
Uncertainty Relations for Noise and Disturbance in Generalized Quantum Measurements
Heisenberg’s uncertainty relation for measurement noise and disturbance states that any position measurement with noise ǫ brings the momentum disturbance not less than h̄/2ǫ. This relation holds only for restricted class of measuring apparatuses. Here, Heisenberg’s uncertainty relation is generalized to a relation that holds for all the possible quantum measurements, from which conditions are ob...
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We consider two variants of a quantum-statistical generalization of the Cramér-Rao inequality that establishes an invariant lower bound on the mean square error of a generalized quantum measurement. The proposed complex variant of this inequality leads to a precise formulation of a generalized uncertainty principle for arbitrary states, in contrast to Helstroms variant [1] in which these relat...
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We derive entropic uncertainty relations for successive generalized measurements by using general descriptions of quantum measurement within two distinctive operational scenarios. In the first scenario, by merging two successive measurements into one we consider successive measurement scheme as a method to perform an overall composite measurement. In the second scenario, on the other hand, we c...
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Heisenberg's uncertainty principle is one of the main tenets of quantum theory. Nevertheless, and despite its fundamental importance for our understanding of quantum foundations, there has been some confusion in its interpretation: Although Heisenberg's first argument was that the measurement of one observable on a quantum state necessarily disturbs another incompatible observable, standard unc...
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ژورنال
عنوان ژورنال: Annals of Physics
سال: 2004
ISSN: 0003-4916
DOI: 10.1016/j.aop.2003.12.012