Trade-off relations of l₁-norm coherence for multipartite systems

Zhengmin Jiang, Ting-Gui Zhang, Xiaofen Huang, and Shao-Ming Fei

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Submission date: 26. Feb. 2020
Pages: 8
published in: Quantum information processing, 19 (2020) 3, art-no. 92 
DOI number (of the published article): 10.1007/s11128-020-2588-8
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Abstract:
We study the trade-off relations given by the l₁-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.