Trade-off relations of \(l_1\)-norm coherence for multipartite systems

  title={Trade-off relations of \(l\_1\)-norm coherence for multipartite systems},
  author={Zhengmin Jiang and Tinggui Zhang and Xiaofen Huang and S. M. Fei},
  journal={Quantum Inf. Process.},
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. 
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