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

@article{Jiang2020TradeoffRO, 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.}, year={2020}, volume={19}, pages={92} }

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.

## 3 Citations

Notes on quantum coherence with l1-norm and convex-roof l1-norm

- PhysicsQuantum Inf. Process.
- 2021

This work provides some new general triangle-like inequalities of quantum coherence, with results better than existing ones, and offers distinct upper bounds in the l1-norm measure of coherence based on the quantum state itself.

Attainable and usable coherence in X states over Markovian and non-Markovian channels

- PhysicsQuantum Inf. Process.
- 2022

The relations between the resource theoretic measures of quantum coherence are rigorously investigated for various Markovian and non-Markovian channels for the two-qubit X states with specific…

Monogamy and trade-off relations for correlated quantum coherence

- Physics
- 2020

One of the fundamental differences between classical and quantum mechanics is in the ways correlations can be distributed among the many parties that compose a system. While classical correlations…

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