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- W2897716590 abstract "We provide a unified and strengthened framework for the product form and the sum form variance-based uncertainty relations by constructing a unified uncertainty relation. In the unified framework, we deduce that the uncertainties of the incompatible observables are bounded by not only the commutator of themselves, but also the quantities related with the other operator. This operator can provide information so that we can capture the uncertainty of the measurement result more accurately, and thus is named as the information operator. The introduction of the information operator can fix the deficiencies in both the product form and the sum form uncertainty relations, and provides a more accurate description of the quantum uncertainty relation. The unified framework also proposes a new interpretation of the uncertainty relation for non-Hermitian operators; i.e., the observable second-order origin moments of the non-Hermitian operators cannot be arbitrarily small at the same time when they are generalized-incompatible on the new definition of the generalized commutator." @default.
- W2897716590 created "2018-10-26" @default.
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- W2897716590 date "2018-03-23" @default.
- W2897716590 modified "2023-09-26" @default.
- W2897716590 title "A Unified and Strengthened Framework for the Uncertainty Relation" @default.
- W2897716590 hasPublicationYear "2018" @default.
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