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    Linear optical quantum computing with a hybrid squeezed-cat code

    Shohei Kiryu1, Kosuke Fukui2, Atsushi Okamoto1, and Akihisa Tomita1,*

    • 1Graduate School of Information Science and Technology, Hokkaido University, Kita14-Nishi9, Kita-ku, Sapporo 060-0814, Japan
    • 2Department of Applied Physics, School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan

    • *Contact author: tomita@ist.hokudai.ac.jp

    Phys. Rev. A 112, 042615 – Published 23 October, 2025

    DOI: https://doi.org/10.1103/jxbx-75m9

    Abstract

    In recent years, squeezed-cat codes with resilience to specific types of loss have been proposed as a step toward realizing fault-tolerant optical quantum computers. However, error correction for squeezed-cat codes requires a strong nonlinearity, which makes its implementation challenging with current technology. We propose a novel hybrid code that combines the squeezed-cat code and the polarization qubit. First, we propose a generation method and a universal gate set that can be implemented with a linear optical system. Then we show the superiority of the hybrid squeezed-cat code over the hybrid cat code and the squeezed-cat code through numerical simulations. These results demonstrate that the hybrid squeezed-cat code is a promising candidate as a new resource for optical quantum information processing.

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