Renyi and Tsallis formulations of noise-disturbance trade-off relations
Keyword(s):
We address an information-theoretic approach to noise and disturbance in quantum measurements. Properties of corresponding probability distributions are characterized by means of both the R´enyi and Tsallis entropies. Related information-theoretic measures of noise and disturbance are introduced. These definitions are based on the concept of conditional entropy. To motivate introduced measures, some important properties of the conditional R´enyi and Tsallis entropies are discussed. There exist several formulations of entropic uncertainty relations for a pair of observables. Trade-off relations for noise and disturbance are derived on the base of known formulations of such a kind.
2020 ◽
Vol 34
(04)
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pp. 5908-5915
2018 ◽
1986 ◽
Vol 19
(3)
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pp. 116-130
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Keyword(s):
2021 ◽
Vol 2
(1)
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pp. 366-379