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In this paper, we propose a new class of bit flipping algorithms for low-density parity-check (LDPC) codes over the binary symmetric channel (BSC). Compared to the regular (parallel or serial) bit flipping algorithms, the proposed…

Information Theory · Computer Science 2016-11-17 Dung Viet Nguyen , Bane Vasic , Michael W. Marcellin

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…

Information Theory · Computer Science 2016-03-22 Ya Meng , Liping Li , Yanjun Hu

Practical implementations of secret-key generation are often based on sequential strategies, which handle reliability and secrecy in two successive steps, called reconciliation and privacy amplification. In this paper, we propose an…

Information Theory · Computer Science 2015-08-07 Remi A. Chou , Matthieu R. Bloch , Emmanuel Abbe

This article presents a novel enhancement to the random spreading based coding scheme developed by Pradhan et al.\ for the unsourced multiple access channel. The original coding scheme features a polar outer code in conjunction with a…

Information Theory · Computer Science 2021-05-31 Asit Kumar Pradhan , Vamsi K. Amalladinne , Krishna R. Narayanan , Jean-Francois Chamberland

In this paper, a new method for decoding Low Density Parity Check (LDPC) codes, based on Multi-Layer Perceptron (MLP) neural networks is proposed. Due to the fact that in neural networks all procedures are processed in parallel, this method…

Information Theory · Computer Science 2014-11-14 Alireza Karami , Mahmoud Ahmadian Attari

In energy-time entanglement Quantum Key Distribution (QKD), two users extract a shared secret key from the arrival times (discretized as symbols) of entangled photon pairs. In prior work, Zhou et al. proposed a multi-level coding (MLC)…

Information Theory · Computer Science 2023-05-02 Debarnab Mitra , Lev Tauz , Murat Can Sarihan , Chee Wei Wong , Lara Dolecek

We present an experimental demonstration of a quantum key distribution protocol using coherent polarization states. Post selection is used to ensure a low error rate and security against beam splitting attacks even in the presence of high…

Quantum Physics · Physics 2007-05-23 Stefan Lorenz , Natalia Korolkova , Gerd Leuchs

High-rate quantum error correcting (QEC) codes with moderate overheads in qubit number and control complexity are highly desirable for achieving fault-tolerant quantum computing. Recently, quantum error correction has experienced…

Quantum Physics · Physics 2025-01-31 Laura Pecorari , Sven Jandura , Gavin K. Brennen , Guido Pupillo

We present two polarization-based protocols for quantum key distribution. The protocols encode key bits in noiseless subspaces or subsystems, and so can function over a quantum channel subjected to an arbitrary degree of collective noise,…

Quantum Physics · Physics 2009-11-10 J. -C. Boileau , D. Gottesman , R. Laflamme , D. Poulin , R. W. Spekkens

In this paper, a new decoding scheme for low-density parity-check (LDPC) codes using the concept of simple product code structure is proposed based on combining two independently received soft-decision data for the same codeword. LDPC codes…

Information Theory · Computer Science 2024-10-30 Beomkyu Shin , Seokbeom Hong , Hosung Park , Jong-Seon No , Dong-Joon Shin

We introduce new quantum key distribution protocols using quantum continuous variables, that are secure against individual attacks for any transmission of the optical line between Alice and Bob. In particular, it is not required that this…

Quantum Physics · Physics 2016-09-08 Frédéric Grosshans , Philippe Grangier

Quantum low-density parity-check (QLDPC) codes have been proven to achieve higher minimum distances at higher code rates than surface codes. However, this family of codes imposes stringent latency requirements and poor performance under…

Information Theory · Computer Science 2024-06-26 Dimitris Chytas , Nithin Raveendran , Bane Vasić

Low-Density Parity-Check (LDPC) codes received much attention recently due to their capacity-approaching performance. The iterative message-passing algorithm is a widely adopted decoding algorithm for LDPC codes \cite{Kschischang01}. An…

Information Theory · Computer Science 2009-08-27 Xudong Ma , En-hui Yang

This paper develops a general method for constructing entanglement-assisted quantum low-density parity-check (LDPC) codes, which is based on combinatorial design theory. Explicit constructions are given for entanglement-assisted quantum…

Information Theory · Computer Science 2012-08-28 Yuichiro Fujiwara , David Clark , Peter Vandendriessche , Maarten De Boeck , Vladimir D. Tonchev

We propose a quantized decoding algorithm for low- density parity-check codes where the variable node update rule of the standard min-sum algorithm is replaced with a look-up table (LUT) that is designed using an information-theoretic…

Information Theory · Computer Science 2015-12-02 Michael Meidlinger , Alexios Balatsoukas-Stimming , Andreas Burg , Gerald Matz

Reconciliation is a mechanism allowing to weed out the discrepancies between two correlated variables. It has great role in every Quantum Key Distribution protocol where the key has to be transmitted through a noisy channel or as in our…

Cryptography and Security · Computer Science 2020-02-20 Nedra Benletaief , Houria Rezig , Ammar Bouallegue

Identifying the best families of quantum error correction (QEC) codes for near-term experiments is key to enabling fault-tolerant quantum computing. Ideally, such codes should have low overhead in qubit number, high physical error…

Quantum Physics · Physics 2025-11-17 Laura Pecorari , Guido Pupillo

Quantum key distribution (QKD) is a cryptographic protocol to enable two parties to share a secure key string, which can be used in one-time pad cryptosystem. There has been an ongoing surge of interest in implementing long-haul…

Quantum Physics · Physics 2022-08-22 Sourav Chatterjee , Kaumudibikash Goswami , Rishab Chatterjee , Urbasi Sinha

We propose an Iterative Detection and Decoding (IDD) scheme with Low Density Parity Check (LDPC) codes for Multiple Input Multiple Output (MIMO) systems for block-fading $F = 2$ and fast fading Rayleigh channels. An IDD receiver with soft…

Information Theory · Computer Science 2014-04-09 A. G. D. Uchoa , C. T. Healy , R. C. de Lamare , P. Li

Blind equalization is a classic yet open problem. Statistic-based algorithms, such as constant modulus (CM), were widely investigated. One inherent issue with blind algorithms is the phase ambiguity of equalized signals. In this letter, we…

Information Theory · Computer Science 2018-10-31 Kun Wang
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