Trade-off relations of l_1-norm coherence for multipartite systems
arXiv:2002.00165 · doi:10.1007/s11128-020-2588-8
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.
arXiv comment6 pages
References in corpus (37)
- The Quantum Internet
- Quantifying Coherence
- Distributed Entanglement
- Quantum Coherence as a Resource
- General Monogamy Inequality for Bipartite Qubit Entanglement
- Quantum coherence in multipartite systems
- Trace-distance measure of coherence
- Quantum Communication between N partners and Bell's inequalities
- Distribution of quantum coherence in multipartite systems
- Monogamy of nonlocal quantum correlations
- Multipartite Gaussian steering: monogamy constraints and quantum cryptography applications
- Are general quantum correlations monogamous?
- General monogamy relation for the entanglement of formation in multiqubit systems
- A Unified View of Quantum Correlations and Quantum Coherence
- Entanglement monogamy relations of qubit systems
- Monogamy inequalities for the EPR paradox and quantum steering
- Quantum steering ellipsoids, extremal physical states and monogamy
- Exploring multipartite quantum correlations with the square of quantum discord
- Correlation complementarity yields Bell monogamy relations
- Fundamental monogamy relation between contextuality and nonlocality
- Generalized Monogamy Relations of Concurrence for N-qubit Systems
- Volume monogamy of quantum steering ellipsoids for multi-qubit systems
- Monogamy of the Entanglement of Formation
- Anisotropic invariance and the distribution of quantum correlations
- Trade-off Relations of Bell Violations among Pairwise Qubit Systems
- Superactivation of monogamy relations for nonadditive quantum correlation measures
- Monogamy inequality for any local quantum resource and entanglement
- Error-Disturbance Trade-off in Sequential Quantum Measurements
- Polynomial Monogamy Relations for Entanglement Negativity
- Complementarity between Tripartite Quantum Correlation and Bipartite Bell Inequality Violation in Three Qubit States
- Internal entanglement and external correlations of any form limit each other
- Superadditivity of convex roof coherence measures
- Complexity of causal order structure in distributed quantum information processing and its trade-off with entanglement
- Monogamy of particle statistics in tripartite systems simulating bosons and fermions
- Trade-offs in multi-party Bell inequality violations in qubit networks
- Monogamy relations for nonclassical correlations of multi-qubit states
- Several Trade off Features of Quantum Steering in Distributed Scenario