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In this study, we report that quantum quasi-cyclic low-density parity-check codes decoded via joint belief propagation (BP) exhibit steep error-rate curves, despite the presence of error floors. To the best of our knowledge, this is the…

量子物理 · 物理学 2025-07-17 Daiki Komoto , Kenta Kasai

Quantum error-correcting codes protect fragile quantum information by encoding it redundantly, but identifying codes that perform well in practice with minimal overhead remains difficult due to the combinatorial search space and the high…

量子物理 · 物理学 2026-01-27 Yihua Chengyu , Richard Meister , Conor Carty , Sheng-Ku Lin , Roberto Bondesan

Federated Learning (FL) is an exciting new paradigm that enables training a global model from data generated locally at the client nodes, without moving client data to a centralized server. Performance of FL in a multi-access edge computing…

分布式、并行与集群计算 · 计算机科学 2021-05-11 Saurav Prakash , Sagar Dhakal , Mustafa Akdeniz , A. Salman Avestimehr , Nageen Himayat

Recently, we introduced a new class of finite alphabet iterative decoders (FAIDs) for low-density parity-check (LDPC) codes. These decoders are capable of surpassing belief propagation in the error floor region on the Binary Symmetric…

信息论 · 计算机科学 2016-11-17 David Declercq , Bane Vasic , Shiva Kumar Planjery , Erbao Li

For polar codes, successive cancellation list (SCL) decoding algorithm significantly improves finite-length performance compared to SC decoding. SCL-flip decoding can further enhance the performance but the gain diminishes as code length…

信息论 · 计算机科学 2024-07-08 Xianbin Wang , Huazi Zhang , Jiajie Tong , Jun Wang , Wen Tong

The development and use of large-scale quantum computers relies on integrating quantum error-correcting (QEC) schemes into the quantum computing pipeline. A fundamental part of the QEC protocol is the decoding of the syndrome to identify a…

Our main technical result is that, in the coset leader graph of a linear binary code of block length n, the metric balls spanned by constant-weight vectors grow exponentially slower than those in $\{0,1\}^n$. Following the approach of…

信息论 · 计算机科学 2014-12-17 Eran Iceland , Alex Samorodnitsky

Applying single-qubit Clifford unitaries to a Pauli stabilizer code produces a Clifford-deformed variant whose stabilizers remain Pauli operators, but with locally rotated Pauli axes. Such deformations provide a simple way to tailor a fixed…

量子物理 · 物理学 2026-05-18 Jagannath Das , Sayandip Dhara , Pedro Medina , Arthur Pesah , Arpit Dua

We investigate error propagation in sliding window decoding of braided convolutional codes (BCCs). Previous studies of BCCs have focused on iterative decoding thresholds, minimum distance properties, and their bit error rate (BER)…

信息论 · 计算机科学 2020-04-30 Min Zhu , David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello, , Baoming Bai

Quantum error correction is an important ingredient for scalable quantum computing. Stabilizer codes are one of the most promising and straightforward ways to correct quantum errors, are convenient for logical operations, and improve…

量子物理 · 物理学 2025-02-07 Ilya. A. Simakov , Ilya. S. Besedin

In practice, LDPC codes are decoded using message passing methods. These methods offer good performance but tend to converge slowly and sometimes fail to converge and to decode the desired codewords correctly. Recently, tree-reweighted…

信息论 · 计算机科学 2014-03-05 J. Li , R. C. de Lamare , H. Wymeersch

It's known that the bit errors of polar codes with successive cancellation (SC) decoding are coupled. We call the coupled information bits the correlated bits. In this paper, concatenation schemes are studied for polar codes (as inner…

信息论 · 计算机科学 2016-03-22 Ya Meng , Liping Li , Yanjun Hu

This paper consists of three parts. The first part presents a large class of new binary quasi-cyclic (QC)-LDPC codes with girth of at least 6 whose parity-check matrices are constructed based on cyclic subgroups of finite fields.…

信息论 · 计算机科学 2015-03-14 Li Zhang , Shu Lin , Khaled Abdel-Ghaffar , Zhi Ding , Bo Zhou

In this work we propose RELDEC, a novel approach for sequential decoding of moderate length low-density parity-check (LDPC) codes. The main idea behind RELDEC is that an optimized decoding policy is subsequently obtained via reinforcement…

信息论 · 计算机科学 2023-07-28 Salman Habib , Allison Beemer , Joerg Kliewer

Spatially coupled turbo-like codes (SC-TCs) have been shown to have excellent decoding thresholds due to the threshold saturation effect. Furthermore, even for moderate block lengths, simulation results demonstrate very good bit error rate…

信息论 · 计算机科学 2018-04-06 Saeedeh Moloudi , Michael Lentmaier , Alexandre Graell i Amat

The uplink of a cloud radio access network architecture is studied in which decoding at the cloud takes place via network function virtualization on commercial off-the-shelf servers. In order to mitigate the impact of straggling decoders in…

信息论 · 计算机科学 2018-08-29 Malihe Aliasgari , Jörg Kliewer , Osvaldo Simeone

In order to protect intellectual property against untrusted foundry, many logic-locking schemes have been developed. The main idea of logic locking is to insert a key-controlled block into a circuit to make the circuit function incorrectly…

硬件体系结构 · 计算机科学 2022-11-04 Jingbo Zhou , Xinmiao Zhang

This paper presents a combinatorial construction of low-density parity-check (LDPC) codes from difference covering arrays. While the original construction by Gallagher was by randomly allocating bits in a sparse parity-check matrix, over…

组合数学 · 数学 2017-01-23 D. Donovan , A. Rao , E. Şule Yazıcı

Color codes are promising quantum error correction (QEC) codes because they have an advantage over surface codes in that all Clifford gates can be implemented transversally. However, thresholds of color codes under circuit-level noise are…

量子物理 · 物理学 2024-09-18 Yugo Takada , Keisuke Fujii

We investigate practical finite-blocklength classical-quantum channel coding over the quantum amplitude damping channel (ADC), aiming to transmit classical information reliably through quantum outputs. Our findings indicate that for any…

信息论 · 计算机科学 2025-09-19 Tamás Havas , Hsuan-Yin Lin , Eirik Rosnes , Ching-Yi Lai