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Paper Abstract and Keywords
Presentation 2026-01-15 10:25
An overview of the hyperbolic color Floquet code
Hideyuki Ozawa, Isamu Kudo, Yuki Takeuchi, Tsuyoshi Yoshida (Mitsubishi Electric) CS2025-61
Abstract (in Japanese) (See Japanese page) 
(in English) In quantum networks, such as quantum repeater networks and long-distance QKD/distributed synchronization, there is a need for technologies that can operate with high throughput and low latency even under high loss and noise. To this end,efficient quantum error correction is expected to help ensure end-to-end performance. Furthermore, because of the no-cloning theorem and destructive measurement, qubit information cannot be read out directly; instead, one must rely on stabilizer (syndrome) measurements mediated by ancillary qubits. This necessitates repeatedly applying numerous interactions (high-weight parity checks), which increases circuit depth and raises implementation cost. This work proposes a Floquet quantum error correcting code, the hyperbolic color Floquet code, based on the 3-colorable structure of the hyperbolic tiling {????, 3}. Low-weight Pauli two-body XX/ZZ measurements generate ”graph-edge” syndromes, enabling highly efficient decoding via minimum-weight perfect matching. Due to properties of hyperbolic geometry, the code achieves a finite coding rate ????/???? = O (1) (e.g., 1/8 for the {8, 3} tiling), and numerical experiments under circuit-level independent Pauli noise show that the logical error rate decreases as the code size increases. These results indicate the feasibility of combining low-weight, simple measurements with low-latency, high-throughput decoding, marking an important step toward practical QEC operation in quantum networks.
Keyword (in Japanese) (See Japanese page) 
(in English) quantum error correction / hyperbolic tilings / minimum-weight matching / Floquet codes / / / /  
Reference Info. IEICE Tech. Rep., vol. 125, no. 315, CS2025-61, pp. 17-22, Jan. 2026.
Paper # CS2025-61 
Date of Issue 2026-01-08 (CS) 
ISSN Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee OCS CS  
Conference Date 2026-01-15 - 2026-01-16 
Place (in Japanese) (See Japanese page) 
Place (in English) Hakodate Chamber of Commerce and Industry 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To CS 
Conference Code 2026-01-OCS-CS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) An overview of the hyperbolic color Floquet code 
Sub Title (in English)  
Keyword(1) quantum error correction  
Keyword(2) hyperbolic tilings  
Keyword(3) minimum-weight matching  
Keyword(4) Floquet codes  
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1st Author's Name Hideyuki Ozawa  
1st Author's Affiliation Mitsubishi Electric Corporation (Mitsubishi Electric)
2nd Author's Name Isamu Kudo  
2nd Author's Affiliation Mitsubishi Electric Corporation (Mitsubishi Electric)
3rd Author's Name Yuki Takeuchi  
3rd Author's Affiliation Mitsubishi Electric Corporation (Mitsubishi Electric)
4th Author's Name Tsuyoshi Yoshida  
4th Author's Affiliation Mitsubishi Electric Corporation (Mitsubishi Electric)
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Speaker Author-1 
Date Time 2026-01-15 10:25:00 
Presentation Time 25 minutes 
Registration for CS 
Paper # CS2025-61 
Volume (vol) vol.125 
Number (no) no.315 
Page pp.17-22 
#Pages 6 
Date of Issue 2026-01-08 (CS) 

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