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Photonic graph states constitute important resources in quantum information processing. They are used in measurement-based and fusion-based quantum computing and in all-photonic repeaters for quantum networks. However, generating such highly entangled states is challenging due to the fact that photons do not interact with each other. We propose a protocol for generating arbitrary graph states using matter qubits as quantum emitters. Our approach guarantees the minimal number of emitters and provides in polynomial time the quantum circuit for the graph state generation (which includes the non-unitary process of photon emission). We find that the quantum circuit depth for general graphs also scale polynomially with system size.
Sophia E. Economou
"Efficient deterministic generation of photonic graph states", Proc. SPIE PC12446, Quantum Computing, Communication, and Simulation III, PC124460V (9 March 2023); https://doi.org/10.1117/12.2656532
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Sophia E. Economou, "Efficient deterministic generation of photonic graph states," Proc. SPIE PC12446, Quantum Computing, Communication, and Simulation III, PC124460V (9 March 2023); https://doi.org/10.1117/12.2656532