Authors: T Pramanik S Mal A S Majumdar
Publish Date: 2015/11/26
Volume: 15, Issue: 2, Pages: 981-999
Abstract
The sum of entropic uncertainties for the measurement of two noncommuting observables is not always reduced by the amount of entanglement quantum memory between two parties and in certain cases may be impacted by quantum correlations beyond entanglement discord An optimal lower bound of entropic uncertainty in the presence of any correlations may be determined by finegraining Here we express the uncertainty relation in a new form where the maximum possible reduction in uncertainty is shown to be given by the extractable classical information We show that the lower bound of uncertainty matches with that using finegraining for several examples of twoqubit pure and mixed entangled states and also separable states with nonvanishing discord Using our uncertainty relation we further show that even in the absence of any quantum correlations between the two parties the sum of uncertainties may be reduced with the help of classical correlations
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