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The Entropic Uncertainty Relation for Two Qubits in the Cavity‐Based Architecture
Author(s) -
Bai XueMin,
Xue NaiTao,
Liu Ni,
Li JunQi,
Liang JiuQing
Publication year - 2019
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.201900098
Subject(s) - qubit , entropic uncertainty , coupling (piping) , physics , oscillation (cell signaling) , statistical physics , relation (database) , asynchronous communication , quantum , uncertainty principle , quantum mechanics , state (computer science) , value (mathematics) , coupling strength , mathematics , condensed matter physics , materials science , computer science , algorithm , statistics , chemistry , computer network , biochemistry , database , metallurgy
Based on a simple cavity‐engineered architecture, the dynamics of quantum memory–assisted entropic uncertainty relation (QMA‐EUR) for two qubits initially prepared in a generic Werner state is investigated. The effects of cavity decay rate, qubit–cavity couplings, and cavity–cavity couplings on the uncertainty are explored. It is found that the damped oscillation of uncertainty can be induced by the increase of two types of coupling strengths mentioned above. It is demonstrated that the maximum value of uncertainty is closely related to the purity of the initial state. The uncertainty can be either increased or decreased, depending on the threshold value of coupling strength between the two cavities. Finally, in agreement with a recent observation, an asynchronous relation between uncertainty and mixedness is found during the initial time evolution.