Publication: Entropic measures of joint uncertainty: Effects of lack of majorization
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2016-02-15
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Abstract
We compute Renyi entropies for the statistics of a noisy simultaneous observation of two complementary observables in two-dimensional quantum systems. The relative amount of uncertainty between two states depends on the uncertainty measure used. These results are not reproduced by a more standard duality relation. We show that these behaviors are consistent with the lack of majorization relation between the corresponding statistics.
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A.L. acknowledges support from Facultad de Ciencias Exactas de la Universidad Nacional de La Plata (Argentina), as well as Programa de Intercambio Profesores de la Universidad Complutense and projects FIS2012- 35583 of Ministerio de Economía y Competitividad, QUITEMAD S2009-ESP-1594 of Comunidad de Madrid (Spain). G.M.B. and M.P. acknowledge financial support from CONICET (Argentina). M.P. is also grateful to Région Rhône-Alpes (France) and Universidad Complutense de Madrid (Spain). A.L. acknowledges Th. Seligman for valuable suggestions.
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