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Algorithms operating on real numbers are implemented as floating-point computations in practice, but floating-point operations introduce roundoff errors that can degrade the accuracy of the result. We propose $\Lambda_{num}$, a functional…

Programming Languages · Computer Science 2025-04-10 Ariel E. Kellison , Justin Hsu

In joint radar-communications (JRC) applications such as secure military receivers, often the radar and communications signals are overlaid in the received signal. In these passive listening outposts, the signals and channels of both radar…

Information Theory · Computer Science 2024-04-01 Roman Jacome , Edwin Vargas , Kumar Vijay Mishra , Brian M. Sadler , Henry Arguello

We investigate the influence of memory errors in the quantum repeater scheme for long-range quantum communication. We show that the communication distance is limited in standard operation mode due to memory errors resulting from unavoidable…

Quantum Physics · Physics 2007-05-23 L. Hartmann , B. Kraus , H. -J. Briegel , W. Dür

Quantum error correction protects the quantum state against noise and decoherence in quantum communication and quantum computation, which enables one to perform fault-torrent quantum information processing. We experimentally demonstrate a…

Quantum Physics · Physics 2015-11-23 Shuhong Hao , Xiaolong Su , Caixing Tian , Changde Xie , Kunchi Peng

We present sparse graph codes appropriate for use in quantum error-correction. Quantum error-correcting codes based on sparse graphs are of interest for three reasons. First, the best codes currently known for classical channels are based…

Quantum Physics · Physics 2016-11-17 David J. C. MacKay , Graeme Mitchison , Paul L. McFadden

Quantum error correction codes (QECCs) play a central role in both quantum communications and quantum computation. Practical quantum error correction codes, such as stabilizer codes, are generally structured to suit a specific use, and…

Quantum Physics · Physics 2023-10-30 Diogo Cruz , Francisco A. Monteiro , Bruno C. Coutinho

We present a novel method for error correction in the presence of fading channel estimation errors (CEE). When such errors are significant, considerable performance losses can be observed if the wireless transceiver is not adapted. Instead…

Information Theory · Computer Science 2025-06-18 Charles Wiame , Ken R. Duffy , Muriel Médard

High-rate and large-distance quantum codes are expected to make fault-tolerant quantum computing more efficient, but most of them lack efficient fault-tolerant encoded-state preparation methods. We propose such a fault-tolerant encoder for…

Quantum Physics · Physics 2025-09-22 Naoyuki Kanomata , Hayato Goto

We derive a new upper bound on the reliability function for channel coding over discrete memoryless channels. Our bounding technique relies on two main elements: (i) adding an auxiliary genie-receiver that reveals to the original receiver a…

Information Theory · Computer Science 2022-09-05 Anelia Somekh-Baruch

The weighted-Hamming metric generalizes the Hamming metric by assigning different weights to blocks of coordinates. It is well-suited for applications such as coding over independent parallel channels, each of which has a different level of…

Information Theory · Computer Science 2026-01-21 Sebastian Bitzer , Alberto Ravagnani , Violetta Weger

Quantum error correction plays a critical role in enabling fault-tolerant quantum computing by protecting fragile quantum information from noise. While general-purpose quantum error correction codes are designed to address a wide range of…

Quantum Physics · Physics 2025-08-26 Nirupam Basak , Andrew Tanggara , Ankith Mohan , Goutam Paul , Kishor Bharti

Quantum Communications on planetary scale require complementary channels including ground and satellite links. The former have progressed up to commercial stage using fiber-cables, while for satellite links, the absence of terminals in…

Quantum error correction requires the use of error syndromes derived from measurements that may be unreliable. Recently, quantum data-syndrome (QDS) codes have been proposed as a possible approach to protect against both data and syndrome…

Quantum Physics · Physics 2023-02-06 Andrew Nemec

Error control is significant to network coding, since when unchecked, errors greatly deteriorate the throughput gains of network coding and seriously undermine both reliability and security of data. Two families of codes, subspace and rank…

Information Theory · Computer Science 2012-05-04 Zhiyuan Yan , Hongmei Xie

This paper develops a channel estimation technique for millimeter wave (mmWave) communication systems. Our method exploits the sparse structure in mmWave channels for low training overhead and accounts for the phase errors in the channel…

Signal Processing · Electrical Eng. & Systems 2023-10-12 Weijia Yi , Nitin Jonathan Myers , Geethu Joseph

Quantum insertion errors are a class of errors that increase the number of qubits in a quantum system. Despite a wealth of research on classical insertion errors, there has been limited progress towards a general framework for correcting…

Quantum Physics · Physics 2025-09-04 Lewis Bulled , Yingkai Ouyang

A continuous aperture array (CAPA)-based secure communication system is investigated, where a base station equipped with a CAPA transmits signals to a legitimate user under the existence of an eavesdropper. For improving the secrecy…

Signal Processing · Electrical Eng. & Systems 2025-04-16 Jingjing Zhao , Haowen Song , Xidong Mu , Kaiquan Cai , Yanbo Zhu , Yuanwei Liu

We propose a new approach to implement quantum repeaters for long distance quantum communication. Our protocol generates a backbone of encoded Bell pairs and uses the procedure of classical error correction during simultaneous entanglement…

The theory of quantum error correction is a cornerstone of quantum information processing. It shows that quantum data can be protected against decoherence effects, which otherwise would render many of the new quantum applications…

Quantum Physics · Physics 2009-11-07 M. Keyl , R. F. Werner

We consider the problem of correcting the errors incurred from sending classical or quantum information through a noisy quantum environment by schemes using classical information obtained from a measurement on the environment. We give a…

Quantum Physics · Physics 2015-06-26 M. Gregoratti , R. F. Werner
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