Optimization of deterministic generation of photonic graph states via local operations

Sobhan Ghanbari; Jie Lin; Benjamin MacLellan; Luc Robichaud; Piotr Roztocki; Hoi-Kwong Lo

doi:10.1117/12.3027040

2 August 2024 Optimization of deterministic generation of photonic graph states via local operations

Sobhan Ghanbari, Jie Lin, Benjamin MacLellan, Luc Robichaud, Piotr Roztocki, Hoi-Kwong Lo

Proceedings Volume PC13106, Photonics for Quantum 2024; PC1310610 (2024) https://doi.org/10.1117/12.3027040
Event: Photonics for Quantum, 2024, Waterloo, Ontario, Canada

Abstract

Photonic graph states serve as promising resources in various measurement-based quantum computation and communication protocols, such as quantum repeaters. However, their realization with linear optics poses challenges due to the absence of deterministic photon-entangling gates in such platforms. A potential solution involves leveraging quantum emitters, such as quantum dots or NV centers, to establish entanglement and subsequently transfer it to the emitted photons. The design of a quantum circuit that implements the generation of a graph state within such a framework is highly non-trivial nonetheless. Here, we introduce a generation circuit optimization approach that leverages the concept of local equivalency of graphs and employs graph theoretical correlations to explore alternative, cost-effective circuits. Obtaining a 50% reduction in the use of 2-qubit gates for preparing repeater graph states highlights the potential efficacy of our method.

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Citation Download Citation

Sobhan Ghanbari, Jie Lin, Benjamin MacLellan, Luc Robichaud, Piotr Roztocki, and Hoi-Kwong Lo "Optimization of deterministic generation of photonic graph states via local operations", Proc. SPIE PC13106, Photonics for Quantum 2024, PC1310610 (2 August 2024); https://doi.org/10.1117/12.3027040

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KEYWORDS

Quantum gates

Quantum operations

Quantum entanglement

Quantum emitters

Quantum numbers

Quantum protocols

Quantum repeaters

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