Super-Additivity Relations and Decay of the rong class="a-plus-plus">lrong> _{rong class="a-plus-plus">1rong>} Norm of Coherence

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• 作者：Feng Liu ; Fei Li
• 关键词：Quantum coherence ; Noisy quantum channel ; Relative entropy
• 刊名：International Journal of Theoretical Physics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：56
• 期：2
• 页码：494-502
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics, general; Quantum Physics; Elementary Particles, Quantum Field Theory; Theoretical, Mathematical and Computational Physics;
• 出版者：Springer US
• ISSN：1572-9575
• 卷排序：56

文摘

The l₁ norm of coherence and the relative entropy of coherence are the most general and easy to use quantifiers. Based on the l₁ norm of coherence, we discuss the super-additivity inequalities and then give the explicit characterization of three-qubit pure states saturating these relations. We also prove that the l₁ norm of coherence is super-additive for all pure states and qubit states. Further, we use the measure of the decay of quantum coherence to discuss how well ideal models of noise preserve the relative entropy of coherence on pure single-qubit sysrems.