Entanglement generation in a quantum network at distance-independent rate

Abstract

We develop a protocol for entanglement generation in the quantum internet that allows a repeater node to use $n$-qubit Greenberger-Horne-Zeilinger (GHZ) projective measurements that can fuse $n$ successfully-entangled {\em links}, i.e., two-qubit entangled Bell pairs shared across $n$ network edges, incident at that node. Implementing $n$-fusion, for $n\ge 3$, is in principle not much harder than $2$-fusions (Bell-basis measurements) in solid-state qubit memories. If we allow even $3$-fusions at the nodes, we find---by developing a connection to a modified version of the site-bond percolation problem---that despite lossy (hence probabilistic) link-level entanglement generation, and probabilistic success of the fusion measurements at nodes, one can generate entanglement between end parties Alice and Bob at a rate that stays constant as the distance between them increases. We prove that this powerful network property is not possible to attain with any quantum networking protocol built with Bell measurements and multiplexing alone. We also design a two-party quantum key distribution protocol that converts the entangled states shared between two nodes into a shared secret, at a key generation rate that is independent of the distance between the two parties.

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• Influence of noise in entanglement-based quantum networks
• Distance-Independent Entanglement Generation in a Quantum Network using Space-Time Multiplexed Greenberger-Horne-Zeilinger (GHZ) Measurements
• Quantum Internet: Technologies, Protocols, and Research Challenges
• On the Bipartite Entanglement Capacity of Quantum Networks
• Quantum Routing with Teleportation
• Fidelity-Aware Multipath Routing for Multipartite State Distribution in Quantum Networks
• Service Differentiation and Fair Sharing in Distributed Quantum Computing
• Clifford Manipulations of Stabilizer States: A graphical rule book for Clifford unitaries and measurements on cluster states, and application to photonic quantum computing
• Quantum Simulation via Stochastic Combination of Unitaries
• Simulation of entanglement based quantum networks for performance characterization
• Reshaping coupled bosonic networks: A bipartite-graph framework for optimal quantum excitation transfer
• Routing Entanglement in Complex Quantum Networks Using GHZ States
• Entanglement percolation enhanced by the power of choice