Features of preparable entangled states in Gaussian quantum networks

Abstract

Large-scale quantum networks have been employed to overcome practical constraints on transmission and storage for single entangled systems. The deterministic preparation of entangled states is one of the key factors for realization of quantum networks. There is no efficient method to verify whether single multipartite entanglement can be prepared by multisource quantum networks. Here, we theoretically analysize under what conditions entangled states can be prepared in three kinds of basic Gaussian quantum networks, named triangle networks, star-shaped networks and chain-type networks. Some necessity criteria are derived for all preparable entangled Gaussian states in such networks. It shows that the network structure imposes strong constraints on the set of preparable entangled Gaussian states, which is fundamentally different with the standard single multipartite entanglement. This takes the first step towards understanding network mechanism for preparing entangled Gaussian states.

8 pages, 3 figures, 63 references

References in corpus (47)

• The Quantum Internet
• Gaussian Quantum Information
• Long-distance quantum communication with atomic ensembles and linear optics
• Distributed Entanglement
• Quantum state transfer and entanglement distribution among distant nodes in a quantum network
• Experimental demonstration of long-distance continuous-variable quantum key distribution
• Storage and retrieval of single photons transmitted between remote quantum memories
• A quantum network of clocks
• General Monogamy Inequality for Bipartite Qubit Entanglement
• Secure quantum key distribution over 421 km of optical fiber
• Experimental entanglement of six photons in graph states
• Detecting genuine multipartite continuous-variable entanglement
• "Squashed Entanglement" - An Additive Entanglement Measure
• A photonic quantum information interface
• Symmetry implies independence
• High-rate quantum key distribution exceeding 110 Mb/s
• Characterizing the nonlocal correlations of particles that never interacted
• Beyond Bell's Theorem: Correlation Scenarios
• Entanglement Percolation in Quantum Networks
• Measuring Gaussian quantum information and correlations using the Renyi entropy of order 2
• Exponential Communication Complexity Advantage from Quantum Superposition of the Direction of Communication
• Quantum Information Theory of Entanglement and Measurement
• General monogamy relation for the entanglement of formation in multiqubit systems
• Information-Theoretic Implications of Quantum Causal Structures
• Theory-independent limits on correlations from generalised Bayesian networks
• A multinode quantum network over a metropolitan area
• Nonlinear Bell inequalities tailored for quantum networks
• Unitarily localizable entanglement of Gaussian states
• The Inflation Technique for Causal Inference with Latent Variables
• Genuine Network Multipartite Entanglement
• Entanglement Distribution in Pure-State Quantum Networks
• Quantification and scaling of multipartite entanglement in continuous variable systems
• Monogamy of entanglement of formation
• Computationally Efficient Nonlinear Bell Inequalities for General Quantum Networks
• Limits on correlations in networks for quantum and no-signaling resources
• Emergence of Quantum Correlations from Non-Locality Swapping
• Quantum entanglement in the triangle network
• Bounding the sets of classical and quantum correlations in networks
• Characterizing Genuine Multilevel Entanglement
• Monogamy of the Entanglement of Formation
• One-shot entanglement generation over long distances in noisy quantum networks
• Quantum-enhanced metrology with network states
• Squashed entanglement in infinite dimensions
• Certifying the Topology of Quantum Networks: Theory and Experiment
• Composable end-to-end security of Gaussian quantum networks with untrusted relays
• Quantum LOSR networks cannot generate graph states with high fidelity
• A Survey on Continuous Variable Quantum Key Distribution for Secure Data Transmission: Toward the Future of Secured Quantum-Networks