Characterizing Quantum Networks: Insights from Coherence Theory

Abstract

Networks based on entangled quantum systems enable interesting applications in quantum information processing and the understanding of the resulting quantum correlations is essential for advancing the technology. We show that the theory of quantum coherence provides powerful tools for analyzing this problem. For that, we demonstrate that a recently proposed approach to network correlations based on covariance matrices can be improved and analytically evaluated for the most important cases.

6 pages, 3 figures, comments are welcome!

References in corpus (7)

• The Quantum Internet
• Entanglement detection
• Towards a global quantum network
• Information-Theoretic Implications of Quantum Causal Structures
• Genuine Network Multipartite Entanglement
• Semidefinite tests for quantum network topologies
• New Genuine Multipartite Entanglement

Cited by in corpus (21)

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• Tools for quantum network design
• Network Quantum Steering
• Semidefinite programming relaxations for quantum correlations
• Symmetries in quantum networks lead to no-go theorems for entanglement distribution and to verification techniques
• Nonlocality for Generic Networks
• Generalized $n$-locality inequalities in star-network configuration and their optimal quantum violations
• Quantum-enhanced metrology with network states
• Covariance Decomposition as a Universal Limit on Correlations in Networks
• A convergent inflation hierarchy for quantum causal structures
• Inferring Quantum Network Topology using Local Measurements
• Quantum LOSR networks cannot generate graph states with high fidelity
• Topologically Robust Quantum Network Nonlocality
• Generalized $n$-locality inequalities in linear-chain network for arbitrary inputs scenario and their quantum violations
• Construction of genuinely entangled multipartite subspaces from bipartite ones by reducing the total number of separated parties
• Characterizing arbitrary quantum networks in the noisy intermediate-scale quantum era
• Transformations in quantum networks via local operations assisted by finitely many rounds of classical communication
• Metrology-assisted entanglement distribution in noisy quantum networks
• Optimal quantum violations of n-locality inequalities with conditional dependence on inputs
• Experimental verification of multi-copy activation of genuine multipartite entanglement
• Error-mitigated inference of quantum network topology