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• W3103025498 startingPage "113103" @default.
• W3103025498 abstract "This work is devoted to explore fundamental aspects of the spectral properties of few-body general operators. We first consider the following question: when we know the probability distributions of a set of observables, what can we way on the probability distribution of the summation of them? In considering arbitrary operators, we could not obtain a useful information over third order moment, while under the assumption of the few-body operators, we can rigorously prove a much stronger bound on the moment generating function for arbitrary quantum states. Second, by the use of this bound, we generalize the Chernoff inequality (or the Hoeffding inequality), which characterizes the asymptotic decay of the probability distribution for the product states by the Gaussian decay. In the present form, the Chernoff inequality can be applied to a summation of independent local observables (e.g., single-site operators). We extend the range of application of the Chernoff inequality to the generic few-body observables." @default.
• W3103025498 created "2020-11-23" @default.
• W3103025498 creator A5035528658 @default.
• W3103025498 date "2016-11-16" @default.
• W3103025498 modified "2023-10-14" @default.
• W3103025498 title "Connecting the probability distributions of different operators and generalization of the Chernoff–Hoeffding inequality" @default.
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• W3103025498 doi "https://doi.org/10.1088/1742-5468/2016/11/113103" @default.
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