The detection and quantification of quantum coherence play significant roles in quantum information processing. We present an efficient way of tomographic witnessing for both theoretical and experimental detection of coherence. We prove that a coherence witness is optimal if and only if all of its diagonal elements are zero. Naturally, we obtain a bona fide homographic measure of coherence given by the sum of the absolute values of the real and the imaginary parts of the non-diagonal entries of a density matrix, together with its interesting relations with other coherence measures like \(l_1\) norm coherence and robust of coherence.

中文翻译：

---

断层扫描的目击和全息量化

量子相干的检测和量化在量子信息处理中起着重要作用。我们为相干的理论和实验检测提供了一种有效的层析成像见证方法。我们证明，当且仅当其所有对角元素均为零时，连贯见证才是最优的。自然地，我们获得了由密度矩阵非对角项的实部和虚部的绝对值之和给出的相干性的纯正单应性度量，以及其与其他相干性度量的有趣关系，例如\（l_1 \）规范的连贯性和强大的连贯性。