Non-adiabatic holonomies as photonic quantum gates
arxiv(2024)
摘要
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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