Distributing Multipartite Entanglement over Noisy Quantum Networks

Abstract

A quantum internet aims at harnessing networked quantum technologies, namely by distributing bipartite entanglement between distant nodes. However, multipartite entanglement between the nodes may empower the quantum internet for additional or better applications for communications, sensing, and computation. In this work, we present an algorithm for generating multipartite entanglement between different nodes of a quantum network with noisy quantum repeaters and imperfect quantum memories, where the links are entangled pairs. Our algorithm is optimal for GHZ states with 3 qubits, maximising simultaneously the final state fidelity and the rate of entanglement distribution. Furthermore, we determine the conditions yielding this simultaneous optimality for GHZ states with a higher number of qubits, and for other types of multipartite entanglement. Our algorithm is general also in the sense that it can optimise simultaneously arbitrary parameters. This work opens the way to optimally generate multipartite quantum correlations over noisy quantum networks, an important resource for distributed quantum technologies.

Additional metrics for W-states and new numerical proofs of optimality, in comparison to other methods available. Keywords: Quantum Internet, QLANs, Multipartite Entanglement, Entanglement Distribution, Multi-objective Routing, Quantum Networks

References in corpus (10)

• Critical phenomena in complex networks
• Realization of a multi-node quantum network of remote solid-state qubits
• Entanglement purification and quantum error correction
• A Reconfigurable Quantum Local Area Network Over Deployed Fiber
• Robustness of Noisy Quantum Networks
• Optimal Measurement of Field Properties with Quantum Sensor Networks
• Practical Limits of Error Correction for Quantum Metrology
• Modeling and Designing Routing Protocols in Quantum Networks
• The Computational Power of the W and GHZ states
• Exact rate analysis for quantum repeaters with imperfect memories and entanglement swapping as soon as possible

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