High fidelity GHZ generation within nearby nodes
Valentina Caprara Vivoli, J\'er\'emy Ribeiro, Stephanie Wehner

TL;DR
This paper presents a linear optics protocol for high-fidelity GHZ state generation in nearby quantum network nodes, achieving optimal success probability and providing analytical and numerical tools for entanglement generation.
Contribution
It introduces a novel linear optics scheme for GHZ generation with highest success probability and analytical/numerical methods for optimization in quantum networks.
Findings
Achieves high-fidelity GHZ states with linear optics.
Provides analytical proof of optimal success probability.
Offers numerical optimization tools for entanglement generation.
Abstract
Generating entanglement in a distributed scenario is a fundamental task for implementing the quantum network of the future. We here report a protocol that uses only linear optics for generating GHZ states with high fidelities in a nearby node configuration. Moreover, we analytically show that the scheme provides the highest success probability, and, then, the highest generation rate for sequential protocols. We furthermore show how to retrieve the same results using a numerical approach. Both the analytical proof and the numerical optimization represent a novelty in the field of entanglement generation in quantum networks and are tools for further investigation. Finally, we give some estimates for the generation rate in a real scenario.
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