Quantum coherence, coming from quantum superposition, occupies a significant position in the field of physics. We put forward a lower bound of the robustness of multilevel coherence mathematically by optimizing the coherence witnesses via semi-definite programming, which can be direct and easy to evaluate and experimentally accessible. A numerical example is supplemented to illustrate the efficiency of the presented bound.

中文翻译：

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下界确保多级连贯性的鲁棒性

来自量子叠加的量子相干性在物理学领域中占有重要地位。通过半定性程序优化相干见证，我们在数学上提出了多级相干鲁棒性的下界，它可以直接，容易地进行评估并且可以通过实验进行访问。补充了一个数值示例来说明所提出边界的效率。