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Non-adiabatic holonomies as photonic quantum gates

2024/01/08 by Vera Neef, Julien Pinske, Neef, Vera +11
Engineering · Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #Optical Network Technologies #Optics (physics.optics) #Photonic and Optical Devices #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2401.04014

openalex publication_date 2024/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

One of the most promising nascent technologies, quantum computation faces a major challenge: The need for stable computational building blocks. We present the quantum-optical realization of non-adiabatic holonomies that can be used as single-qubit quantum gates. The hallmark topological protection of non-Abelian geometric phases reduces the need for quantum error correction on a fundamental physical level, while the inherent non-adiabaticity of the structures paves the way for unprecedented miniaturization. To demonstrate their versatility, we realize the Hadamard and Pauli-X gates, experimentally show their non-Abelian nature, and combine them into a single-qubit quantum algorithm, the PQ penny flipover. The planar geometry of such designs enables them to be substituted for the conventional directional coupler meshes currently in wide-spread use in photonic quantum architectures across all platforms.

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