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We consider the design and analysis of coding schemes for the binary input two way relay channel with erasure noise. We are particularly interested in reliable physical layer network coding in which the relay performs perfect error…

Information Theory · Computer Science 2016-11-17 Brett Hern , Krishna Narayanan

Recently a framework for assisted quantum error correction was proposed in which a specific type of error is allowed to occur on auxiliary qubits, which is in contrast to standard entanglement assistance that requires noiseless auxiliary…

Quantum Physics · Physics 2014-07-31 Yuichiro Fujiwara

Bosonic encodings of quantum information offer hardware-efficient, noise-biased approaches to quantum error correction relative to qubit register encodings. Implementations have focused in particular on error correction of stored, idle…

Quantum Physics · Physics 2025-10-23 Owen C. Wetherbee , Saswata Roy , Baptiste Royer , Valla Fatemi

The maximum operational range of continuous variable quantum key distribution protocols has shown to be improved by employing high-efficiency forward error correction codes. Typically, the secret key rate model for such protocols is…

Calderbank-Shor-Steane (CSS) quantum error-correcting codes are based on pairs of classical codes which are mutually dual containing. Explicit constructions of such codes for large blocklengths and with good error correcting properties are…

Quantum Physics · Physics 2008-08-12 Zhicheng Luo

In the Shannon lecture at the 2019 International Symposium on Information Theory (ISIT), Ar{\i}kan proposed to employ a one-to-one convolutional transform as a pre-coding step before the polar transform. The resulting codes of this…

Information Theory · Computer Science 2024-01-19 Mohammad Rowshan , Andreas Burg , Emanuele Viterbo

An information reconciliation method for continuous-variable quantum key distribution with Gaussian modulation that is based on non-binary low-density parity-check (LDPC) codes is presented. Sets of regular and irregular LDPC codes with…

Quantum Physics · Physics 2016-03-01 Christoph Pacher , Jesus Martinez-Mateo , Jörg Duhme , Tobias Gehring , Fabian Furrer

Error-correcting codes over the real field are studied which can locate outlying computational errors when performing approximate computing of real vector--matrix multiplication on resistive crossbars. Prior work has concentrated on…

Information Theory · Computer Science 2024-02-22 Hengjia Wei , Ron M. Roth

Coherent parity check (CPC) codes are a new framework for the construction of quantum error correction codes that encode multiple qubits per logical block. CPC codes have a canonical structure involving successive rounds of bit and phase…

Quantum Physics · Physics 2018-06-08 Joschka Roffe , David Headley , Nicholas Chancellor , Dominic Horsman , Viv Kendon

Iterative decoders used for decoding low-density parity-check (LDPC) and moderate-density parity-check (MDPC) codes are not characterized by a deterministic decoding radius and their error rate performance is usually assessed through…

Information Theory · Computer Science 2020-02-27 Paolo Santini , Massimo Battaglioni , Marco Baldi , Franco Chiaraluce

Quantum error correction codes based on continuous variables play an important role for the implementation of quantum communication systems. A natural application of such codes occurs within quantum repeater systems which are used to combat…

Quantum Physics · Physics 2024-08-21 Pei-Zhe Li , Josephine Dias , William J. Munro , Peter van Loock , Kae Nemoto , Nicoló Lo Piparo

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…

Quantum Physics · Physics 2026-01-27 Yihua Chengyu , Richard Meister , Conor Carty , Sheng-Ku Lin , Roberto Bondesan

We study the performance of simple error correcting and error avoiding quantum codes together with their concatenation for correlated noise models. Specifically, we consider two error models: i) a bit-flip (phase-flip) noisy Markovian…

Quantum Physics · Physics 2011-04-05 Carlo Cafaro , Stefano Mancini

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)…

Information Theory · Computer Science 2020-04-30 Min Zhu , David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello, , Baoming Bai

Bosonic codes, leveraging infinite-dimensional Hilbert spaces for redundancy, offer great potential for encoding quantum information. However, the realization of a practical continuous-variable bosonic code that can simultaneously correct…

Quantum Physics · Physics 2026-05-19 Yexiong Zeng , Fernando Quijandría , Clemens Gneiting , Franco Nori

In this paper, we propose an efficient method to reduce error floors in quantum error correction using non-binary low-density parity-check (LDPC) codes. We identify and classify cycle structures in the parity-check matrix where estimated…

Quantum Physics · Physics 2025-04-29 Kenta Kasai

JPEG-XS offers low complexity image compression for applications with constrained but reasonable bit-rate, and low latency. Our paper explores the deployment of JPEG-XS on lossy packet networks. To preserve low latency, Forward Error…

Image and Video Processing · Electrical Eng. & Systems 2022-10-10 Antoine Legrand , Benoît Macq , Christophe De Vleeschouwer

Superdense coding promises increased classical capacity and communication security but this advantage may be undermined by noise in the quantum channel. We present a numerical study of how forward error correction (FEC) applied to the…

Quantum Physics · Physics 2016-05-25 Ronald J. Sadlier , Travis S. Humble

Quantum error-correcting codes (QECCs) and decoherence-free subspace (DFS) codes provide active and passive means, respectively, to address certain types of errors that arise during quantum computation. The latter technique is suitable to…

Quantum Physics · Physics 2024-07-02 Nihar Ranjan Dash , Sanjoy Dutta , R. Srikanth , Subhashish Banerjee

The average symbol error probability (SEP) of a 1-bit quantized single-input multiple-output (SIMO) system is analyzed under Rayleigh fading channels and quadrature phase-shift keying (QPSK) modulation. Previous studies have partially…

Signal Processing · Electrical Eng. & Systems 2025-10-03 Amila Ravinath , Minhua Ding , Bikshapathi Gouda , Italo Atzeni , Antti Tölli
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