Using a Kerr interaction for GKP magic state preparation

Jérémie Boudreault · Ross Shillito · Jean-Baptiste Bertrand · Baptiste Royer · 2025 · arXiv 预印本

| 编号 QCV015 | 主题 连续变量与玻色子算术 | 链接 arXiv:2507.09684 |

摘要

摘要保留原文（英文）

摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。

Magic state distillation and injection is a promising strategy towards universal fault tolerant quantum computation, especially in architectures based on the bosonic Gottesman-Kitaev-Preskill (GKP) codes where non-Clifford gates remain challenging to implement. Here we address GKP magic state preparation by studying a non-Gaussian unitary mediated by a Kerr interaction which realizes a logical gate ${\sqrt{H}}_L$ for square GKP codes. This gate does not directly involve an auxiliary qubit and is compatible with finite energy constraints on the code. Fidelity can be further enhanced using the small-Big-small (SBS) error correction protocol and post-selection, making the scheme robust against a single photon loss event. We finally propose a circuit QED implementation to operate the Kerr interaction.

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