Volume 132, Number 5, December 2020
|Number of page(s)||7|
|Published online||24 February 2021|
Lower and upper bounds for unilateral coherence and applying them to the entropic uncertainty relations
1 Department of Physics, University of Kurdistan - P.O.Box 66177-15175, Sanandaj, Iran
2 Faculty of Physics, Urmia University of Technology - Urmia, Iran
Received: 10 July 2020
Accepted: 9 November 2020
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.
PACS: 03.65.-w – Quantum mechanics / 03.67.-a – Quantum information
© 2021 EPLA
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.