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To unleash the potential of quantum computers, noise effects on qubits' performance must be carefully managed. The decoders responsible for diagnosing noise-induced computational errors must use resources efficiently to enable scaling to…

Inner and outer bounds are derived on the optimal performance of fixed length block codes on discrete memoryless channels with feedback and errors-and-erasures decoding. First an inner bound is derived using a two phase encoding scheme with…

Information Theory · Computer Science 2020-01-03 Baris Nakiboglu , Lizhong Zheng

Sorting operation is one of the main bottlenecks for the successive-cancellation list (SCL) decoding. This paper introduces an improvement to the SCL decoding for polar and pre-transformed polar codes that reduces the number of sorting…

Information Theory · Computer Science 2022-07-26 Mohsen Moradi , Amir Mozammel

Quantum computing offers a promising route for tackling hard optimization problems by encoding them as Ising models. However, sparse qubit connectivity requires the use of minor-embedding, mapping logical qubits onto chains of physical…

Quantum Physics · Physics 2025-03-12 Thang N. Dinh , Cao P. Cong

Unrolling a decoding algorithm allows to achieve extremely high throughput at the cost of increased area. Look-up tables (LUTs) can be used to replace functions otherwise implemented as circuits. In this work, we show the impact of…

Information Theory · Computer Science 2024-09-04 Pascal Giard , Syed Aizaz Ali Shah , Alexios Balatsoukas-Stimming , Maximilian Stark , Gerhard Bauch

Two methods to decompose block matrices analogous to Singular Matrix Decomposition are proposed, one yielding the so called economy decomposition, and other yielding the full decomposition. This method is devised to avoid handling matrices…

Numerical Analysis · Mathematics 2008-06-07 Alvaro Francisco Huertas-Rosero

In this paper, we propose a new coded computing technique called "substitute decoding" for general iterative distributed computation tasks. In the first part of the paper, we use PageRank as a simple example to show that substitute decoding…

Information Theory · Computer Science 2018-05-17 Yaoqing Yang , Malhar Chaudhari , Pulkit Grover , Soummya Kar

Surface codes are a popular error-correction route to fault-tolerant quantum computation. The so-called exponential backlog problem that can arise when one has to do logical $T$-gates within the surface code demands real-time decoding of…

Quantum Physics · Physics 2026-01-21 Long D. H. My , Shao-Hen Chiew , Jing Hao Chai , Hui Khoon Ng

Energy and compression efficiency are two essential parts of modern video decoder implementations that have to be considered. This work comprehensively studies the following six video coding formats regarding compression and decoding energy…

Image and Video Processing · Electrical Eng. & Systems 2024-02-15 Matthias Kränzler , Christian Herglotz , André Kaup

Power is an often-cited reason for the move to advanced architectures on the path to Exascale computing. This is due to practical considerations related to delivering enough power to successfully site and operate these machines, as well as…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-31 Adam Bertsch , Michael R. Collette , Shawn A. Dawson , Si D. Hammond , Ian Karlin , M. Scott McKinley , Kevin Pedretti , Robert N. Rieben , Brian S. Ryujin , Arturo Vargas , Kenneth Weiss

A scheme for linear optical implementation of fault-tolerant quantum computation is proposed, which is based on an error-detecting code. Each computational step is mediated by transfer of quantum information into an ancilla system embedding…

Quantum Physics · Physics 2007-10-07 Jaeyoon Cho

The penalty incurred by imposing a finite delay constraint in lossless source coding of a memoryless source is investigated. It is well known that for the so-called block-to-variable and variable-to-variable codes, the redundancy decays at…

Information Theory · Computer Science 2016-11-17 Ofer Shayevitz , Eado Meron , Meir Feder , Ram Zamir

The Gilbert-Elliot (GE) channel is a commonly-accepted model for packet erasures in networks. Streaming codes are a class of packet-level erasure codes designed to provide reliable communication over the GE channel. The design of a…

Information Theory · Computer Science 2021-09-08 Myna Vajha , Vinayak Ramkumar , Mayank Jhamtani , P. Vijay Kumar

For quantum algorithms for problems in which the task is to compute an entire field of values, like e.g. computational fluid dynamics (CFD), it is often proposed amplitude encoding w.r.t. multiple qubits; however, the efforts implied by it…

Quantum Physics · Physics 2026-04-08 Hans A. Kösel , Roland Ewert , Jan W. Delfs

The increase in data storage and power consumption at data-centers has made it imperative to design energy efficient Distributed Storage Systems (DSS). The energy efficiency of DSS is strongly influenced not only by the volume of data,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-25 Akshay Kumar , Ravi Tandon , T. Charles Clancy

Multiplication is one of the most fundamental computational problems, yet its true complexity remains elusive. The best known upper bound, by F\"{u}rer, shows that two $n$-bit numbers can be multiplied via a boolean circuit of size $O(n \lg…

Data Structures and Algorithms · Computer Science 2019-03-01 Peyman Afshani , Casper Benjamin Freksen , Lior Kamma , Kasper Green Larsen

With the use of belief propagation (BP) decoding algorithm, low-density parity-check (LDPC) codes can achieve near-Shannon limit performance. In order to evaluate the error performance of LDPC codes, simulators running on CPUs are commonly…

Information Theory · Computer Science 2012-07-30 Yue Zhao , Francis C. M. Lau

An encoder observes a point pattern---a finite number of points in the interval $[0,T]$---which is to be described to a reconstructor using bits. Based on these bits, the reconstructor wishes to select a subset of $[0,T]$ that contains all…

Information Theory · Computer Science 2011-02-16 Amos Lapidoth , Andreas Malär , Ligong Wang

We consider communication over binary-input memoryless output-symmetric channels using low-density parity-check codes and message-passing decoding. The asymptotic (in the length) performance of such a combination for a fixed number of…

Information Theory · Computer Science 2008-02-12 Satish Babu Korada , Ruediger Urbanke

\emph{Resistive memories}, such as \emph{phase change memories} and \emph{resistive random access memories} have attracted significant attention in recent years due to their better scalability, speed, rewritability, and yet non-volatility.…

Information Theory · Computer Science 2021-09-22 Yeow Meng Chee , Michal Horovitz , Alexander Vardy , Van Khu Vu , Eitan Yaakobi
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