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Shahriar Salimi

Shahriar Salimi

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId: 56208254700
Faculty: Faculty of Science
Address:
Phone: 4258

Research

Title
Lower and upper bounds for unilateral coherence and applying them to the entropic uncertainty relations
Type
JournalPaper
Keywords
Entropic uncertainty relations; Quantum coherence
Year
2020
Journal Europhysics Letters
DOI
Researchers Haziar Dolatkhah ، Sorosh Haseli ، Shahriar Salimi ، Arash Sorouri-Khorashad

Abstract

In this paper, a method is provided for obtaining the entropic uncertainty relations in the presence of a quantum memory by using quantum coherence. In the method, firstly, one can use the quantum relative entropy of quantum coherence to obtain the uncertainty relations. Secondly, these relations are applied to obtain the entropic uncertainty relations in the presence of a quantum memory. In comparison with other methods this approach is much simpler. Also, for a given state, the upper bounds on the sum of the relative entropies of unilateral coherences are provided, and it is shown which one is tighter. In addition, using the upper bound obtained for unilateral coherence, the nontrivial upper bound on the sum of the entropies for different observables is derived in the presence of a quantum memory