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

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 expli...

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Bibliographic Details
Published in:Quantum information processing 2020, Vol.19 (3)
Main Authors: Jiang, Zhengmin, Zhang, Tinggui, Huang, Xiaofen, Fei, Shao-Ming
Format: Article
Language:English
Subjects:
Coherence
Data Structures and Information Theory
Entangled states
Lower bounds
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum entanglement
Quantum Information Technology
Quantum mechanics
Quantum Physics
Qubits (quantum computing)
Spintronics
Tradeoffs
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Summary: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.
ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-020-2588-8