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We present a constraint-coding scheme to correct asymmetric magnitude-$1$ errors in multi-level non-volatile memories. For large numbers of such errors, the scheme is shown to deliver better correction capability compared to known…

Information Theory · Computer Science 2017-09-12 Evyatar Hemo , Yuval Cassuto

Utility-scale quantum computing requires quantum error correction (QEC) to protect quantum information against noise. Currently, superconducting hardware is a promising candidate for achieving fault tolerance due to its fast gate times and…

Quantum Physics · Physics 2025-08-06 György P. Gehér , David Byfield , Archibald Ruban

Quantum error correction (QEC) is essential for scalable quantum computing, yet decoding errors via conventional algorithms result in limited accuracy (i.e., suppression of logical errors) and high overheads, both of which can be alleviated…

Quantum Physics · Physics 2025-10-09 Xiangjun Mi , Frank Mueller

Quantum error correction is a fundamental primitive of fault-tolerant quantum computing. But in order for error correction to proceed, one must first prepare the codespace of the underlying error-correcting code. A popular method for…

Quantum Physics · Physics 2025-10-08 Yifan Hong

Quantum repeater is the key technology enabler for long-distance quantum communication. To date, most of the existing quantum repeater protocols are designed based on specific quantum codes or graph states. In this paper, we propose a…

Quantum Physics · Physics 2022-10-20 Daoheng Niu , Yuxuan Zhang , Alireza Shabani , Hassan Shapourian

In this paper, we design a deep learning-based convolutional autoencoder for channel coding and modulation. The objective is to develop an adaptive scheme capable of operating at various signal-to-noise ratios (SNR)s without the need for…

Signal Processing · Electrical Eng. & Systems 2025-07-01 Ahmad Abdel-Qader , Anas Chaaban , Mohamed S. Shehata

Traditional quantum error-correcting codes are designed for the depolarizing channel modeled by generalized Pauli errors occurring with equal probability. Amplitude damping channels model, in general, the decay process of a multilevel atom…

Quantum Physics · Physics 2018-05-29 Markus Grassl , Linghang Kong , Zhaohui Wei , Zhang-Qi Yin , Bei Zeng

For integrated sensing and communications, an intriguing question is whether information-bearing channel-coded signals can be reused for sensing - specifically ranging. This question forces the hitherto non-overlapping fields of channel…

Signal Processing · Electrical Eng. & Systems 2025-04-01 Sundar Aditya , Morteza Varasteh , Bruno Clerckx

Secure quantum networks are a bedrock requirement for developing a future quantum internet. However, quantum channels are susceptible to channel noise that introduce errors in the transmitted data. The traditional approach to providing…

Quantum Physics · Physics 2025-05-30 Nitin Jha , Abhishek Parakh , Mahadevan Subramaniam

Standard approaches to quantum error correction for fault-tolerant quantum computing are based on encoding a single logical qubit into many physical ones, resulting in asymptotically zero encoding rates and therefore huge resource…

Quantum Physics · Physics 2024-09-06 Hayato Goto

We propose iterative detection and decoding (IDD) algorithms with Low-Density Parity-Check (LDPC) codes for Multiple Input Multiple Output (MIMO) systems operating in block-fading and fast Rayleigh fading channels. Soft-input soft-output…

Information Theory · Computer Science 2016-11-17 André Uchoa , Cornelius T. Healy , Rodrigo C. de Lamare

Quantum low-density parity-check (LDPC) codes are a promising family of quantum error-correcting codes for fault tolerant quantum computing with low overhead. Decoding quantum LDPC codes on quantum erasure channels has received more…

Information Theory · Computer Science 2024-11-20 Mert Gökduman , Hanwen Yao , Henry D. Pfister

It is known belief propagation decoding variants of LDPC codes can be unrolled easily as neural networks after assigning differed weights to message passing edges flexibly. In this paper we focus on how to determine these weights, in the…

Information Theory · Computer Science 2022-08-10 Guangwen Li , Xiao Yu

Training deep neural networks on large datasets containing high-dimensional data requires a large amount of computation. A solution to this problem is data-parallel distributed training, where a model is replicated into several…

Machine Learning · Computer Science 2021-03-18 Lusine Abrahamyan , Yiming Chen , Giannis Bekoulis , Nikos Deligiannis

Quantum computers have shown promise in improving algorithms in a variety of fields. The realization of these advancements is limited by the presence of noise and high error rates, which become prominent especially with increasing system…

Quantum Physics · Physics 2025-06-05 Melody Lee

Local decoders, also known as cellular-automaton decoders, offer a promising path toward real-time quantum error correction by replacing centralized classical decoding, with inherent hardware constraints, by a natively parallel and…

Quantum Physics · Physics 2025-09-17 Louis Paletta , Anthony Leverrier , Mazyar Mirrahimi , Christophe Vuillot

Quantum low-density parity-check (QLDPC) codes have emerged as a promising technique for quantum error correction. A variety of decoders have been proposed for QLDPC codes and many of them utilize belief propagation (BP) decoding in some…

Information Theory · Computer Science 2024-06-25 Hanwen Yao , Waleed Abu Laban , Christian Häger , Alexandre Graell i Amat , Henry D. Pfister

Quantum error correction (QEC) is essential for enabling quantum advantages, with decoding as a central algorithmic primitive. Owing to its importance and intrinsic difficulty, substantial effort has been made to QEC decoder design, among…

Quantum Physics · Physics 2026-05-13 Ge Yan , Shanchuan Li , Yuxuan Du

A protograph-based low-density parity-check (LDPC) code design technique for bandwidth-efficient coded modulation is presented. The approach jointly optimizes the LDPC code node degrees and the mapping of the coded bits to the…

Information Theory · Computer Science 2015-01-23 Fabian Steiner , Georg Böcherer , Gianluigi Liva

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…

Quantum Physics · Physics 2025-02-07 Ilya. A. Simakov , Ilya. S. Besedin