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MiS Preprint
28/2020
Trade-off relations of $l_1$-norm coherence for multipartite systems
Zhengmin Jiang, Ting-Gui Zhang, Xiaofen Huang and Shao-Ming Fei
Abstract
We study the trade-off relations given by the $l_{1}$-norm coherence of general multipartite states. Explicit trade-off inequalities are derived with lower bounds given by the coherence of either bipartite or multipartite reduced density matrices. In particular, for pure three-qubit states, it is explicitly shown that the trade-off inequality is lower bounded by the three tangle of quantum entanglement.
