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Entropic measures of joint uncertainty: Effects of lack of majorization

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Luis Aina, Alfredo and Martín Bosyk, Gustavo and Portesi, Mariela (2016) Entropic measures of joint uncertainty: Effects of lack of majorization. Physica A-statistical mechanics and its applications, 444 . pp. 905-913. ISSN 0378-4371

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Official URL: http://dx.doi.org/10.1016/j.physa.2015.10.097


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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.


Item Type:Article
Additional Information:

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.

Uncontrolled Keywords:Quantum uncertainty; Renyi entropies; Majorization; Complementarity
Subjects:Sciences > Physics > Optics
ID Code:35653
Deposited On:11 Feb 2016 18:39
Last Modified:12 Feb 2016 09:17

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