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- W2117537314 abstract "We demonstrate a fundamental principle of disturbance tradeoff for incompatible observables in quantum theory, along the lines of the celebrated uncertainty principle. Given a set of observables which do not have any common eigenvector, not all disturbances associated with measurements of such observables -- measured on distinct yet identically prepared copies of a system in a pure state -- can be arbitrarily small. Indeed, we show that the average of the disturbances associated with such a set of observables is strictly greater than zero. We show an exact equivalence between disturbance tradeoff and the entropic uncertainty principle formulated in terms of the Tsallis entropy ($T_{2}$). We also derive an optimal $T_{2}$ entropic uncertainty relation for a pair of qubit observables and thereby arrive at an optimal disturbance tradeoff bound for such observables." @default.
- W2117537314 created "2016-06-24" @default.
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- W2117537314 date "2014-02-28" @default.
- W2117537314 modified "2023-09-27" @default.
- W2117537314 title "A disturbance tradeoff principle for incompatible quantum observables" @default.
- W2117537314 hasPublicationYear "2014" @default.
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