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The Entropic Uncertainty Relation for Two Qubits in the Cavity‐Based Architecture
Authors:Xue‐Min Bai  Nai‐Tao Xue  Ni Liu  Jun‐Qi Li  Jiu‐Qing Liang
Abstract: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.
Keywords:cavity‐engineered architecture  dynamics  entropic uncertainty relation  mixedness
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