Non-Markovianity Measure Based on Brukner-Zeilinger Invariant Information for Unital Quantum Dynamical Maps

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2017,（3）
• 页码范围: 255-260
• 页数: 6页
• 语种: 英文
• DOI: 10.1088/0253-6102/67/3/255

摘要

A non-Markovianity measure based on Brukner-Zeilinger invariant information to characterize nonMarkovian effect of open systems undergoing unital dynamical maps is proposed.The method takes advantage of non-increasing property of the Brukner-Zeilinger invariant information under completely positive and trace-preserving unital maps.The simplicity of computing the Brukner-Zeilinger invariant information is the advantage of the proposed measure because of mainly depending on the purity of quantum state.The measure effectively captures the characteristics of non-Markovianity of unital dynamical maps.As some concrete application,we consider two typical non-Markovian noise channels,i.e.,the phase damping channel and the random unitary channel to show the sensitivity of the proposed measure.By investigation,we find that the conditions of detecting the non-Markovianity for the phase damping channel are consistent with the results of existing measures for non-Markovianity,i.e.,information flow,divisibility and quantum mutual information.However,for the random unitary channel non-Markovian conditions are same to that of the information flow,but is different from that of the divisibility and quantum mutual information.