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Trade-off relations of l_1-norm coherence for multipartite systems

Quantum Physics 2020-02-04 v1

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.

Keywords

Cite

@article{arxiv.2002.00165,
  title  = {Trade-off relations of l_1-norm coherence for multipartite systems},
  author = {Zhengmin Jiang and Tinggui Zhang and Xiaofen Huang and Shao-Ming Fei},
  journal= {arXiv preprint arXiv:2002.00165},
  year   = {2020}
}

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6 pages