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The Tightness of Multipartite Coherence from Spectrum Estimation
Authors:Qi-Ming Ding  Xiao-Xu Fang  He Lu
Institution:School of Physics, Shandong University, Jinan 250100, China; (Q.-M.D.); (X.-X.F.)
Abstract:Detecting multipartite quantum coherence usually requires quantum state reconstruction, which is quite inefficient for large-scale quantum systems. Along this line of research, several efficient procedures have been proposed to detect multipartite quantum coherence without quantum state reconstruction, among which the spectrum-estimation-based method is suitable for various coherence measures. Here, we first generalize the spectrum-estimation-based method for the geometric measure of coherence. Then, we investigate the tightness of the estimated lower bound of various coherence measures, including the geometric measure of coherence, the l1-norm of coherence, the robustness of coherence, and some convex roof quantifiers of coherence multiqubit GHZ states and linear cluster states. Finally, we demonstrate the spectrum-estimation-based method as well as the other two efficient methods. We observe that the spectrum-estimation-based method outperforms other methods in various coherence measures, which significantly enhances the accuracy of estimation.
Keywords:multipartite quantum coherence  coherence measures  coherence estimation
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