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

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.

6 pages

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Cited by in corpus (2)

• Monogamy and trade-off relations for correlated quantum coherence
• Tighter superadditivity relations for $l_1$-norm coherence measure