Title:	Conditional entropic uncertainty and quantum correlations
Authors:	Karthik, H.S. Usha Devi, A.R. Tej, Prabhu J. Rajagopal, A.K.
Issue Date:	15-Nov-2018
Publisher:	Elsevier B. V.
Citation:	Optics Communications, 2018, Vol.427, p 635-640
Abstract:	Uncertainty relations reflect the inevitability inbuilt within the quantum framework, preventing prediction of precise outcomes for non-commuting observables. Maassen–Uffinkentropic uncertainty relation (Maassen and Uffink, 1988) captures the trade-off in the spread of the outcomes of a pair of non-commuting observables. Entropic uncertainty relation in the presence of quantum memory (Berta et al., 2010) brought about a fascinating twist by showing that quantum side information, enabled via entanglement, helps in beating the uncertainty of non-commuting observables. In this paper we investigate conditional entropic uncertainty relation and bring out an interplay between non-classical correlations – arising from sequential measurements in a single quantum system – and the entropic uncertainty bound. Our main result is formulated as a theorem, which establishes that if correlations between outcomes of sequential measurements are classical, the uncertainty bound on the sum of conditional entropies of non-commuting observables does not get reduced below the Maassen–Uffink bound.
Description:	Restricted Access.
URI:	http://hdl.handle.net/2289/6990
ISSN:	0030-4018
Alternative Location:	https://doi.org/10.1016/j.optcom.2018.07.006
Copyright:	2018, Elsevier B.V.
Appears in Collections:	Research Papers (LAMP)

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