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Qudits offer significant advantages over qubit-based architectures, including more efficient gate compilation, reduced resource requirements, improved error-correction primitives, and enhanced capabilities for quantum communication and…

Quantum Physics · Physics 2026-03-18 Daniel J. Spencer , Andrew Tanggara , Tobias Haug , Derek Khu , Kishor Bharti

In this work, we present an adaptive reliability-driven conditional innovation (AR-CID) decoding algorithm for low-density parity check (LDPC) codes. The proposed AR-CID decoding algorithm consists of one stage of message quality checking…

Information Theory · Computer Science 2026-01-13 Hassan Touati , Rodrigo C. de Lamare

Computing the key rate in quantum key distribution (QKD) protocols is a long standing challenge. Analytical methods are limited to a handful of protocols with highly symmetric measurement bases. Numerical methods can handle arbitrary…

Quantum Physics · Physics 2023-05-25 Mateus Araújo , Marcus Huber , Miguel Navascués , Matej Pivoluska , Armin Tavakoli

There exist several initiatives worldwide to deploy quantum key distribution (QKD) over existing fibre networks and achieve quantum-safe security at large scales. To understand the overall QKD network performance, it is required to…

Quantum computers hold the potential to surpass classical computers in solving complex computational problems. However, the fragility of quantum information and the error-prone nature of quantum operations make building large-scale,…

Protograph low-density-parity-check (LDPC) are considered to design near-capacity low-rate codes over the binary erasure channel (BEC) and binary additive white Gaussian noise (BIAWGN) channel. For protographs with degree-one variable nodes…

Information Theory · Computer Science 2018-05-03 Asit Kumar Pradhan , Andrew Thangaraj

Most low-density parity-check (LDPC) code constructions are considered over finite fields. In this work, we focus on regular LDPC codes over integer residue rings and analyze their performance with respect to the Lee metric. Their…

Information Theory · Computer Science 2024-08-01 Jessica Bariffi , Hannes Bartz , Gianluigi Liva , Joachim Rosenthal

We present an efficient decoding algorithm for constant rate quantum hypergraph-product LDPC codes which provably corrects adversarial errors of weight $\Omega(\sqrt{n})$ for codes of length $n$. The algorithm runs in time linear in the…

Quantum Physics · Physics 2015-12-29 Anthony Leverrier , Jean-Pierre Tillich , Gilles Zémor

We introduce a new continuous-variable quantum key distribution (CV-QKD) protocol, self-referenced CV-QKD, that eliminates the need for transmission of a high-power local oscillator between the communicating parties. In this protocol, each…

Twin-field quantum key distribution (TF-QKD) and its variant protocols are highly attractive due to the advantage of overcoming the rate-loss limit for secret key rates of point-to-point QKD protocols. For variations of TF-QKD, the key…

Quantum key distribution (QKD) is a promising technique for secure communication based on quantum mechanical principles. To improve the secure key rate of a QKD system, most studies on reconciliation primarily focused on improving the…

Quantum Physics · Physics 2021-09-21 Hao-Kun Mao , Qiong Li , Peng-Lei Hao , Bassem Abd-El-Atty , Abdullah M. Iliyasu

Quantum error correction is the building block for constructing fault-tolerant quantum processors that can operate reliably even if its constituting elements are corrupted by decoherence. In this context, real-time decoding is a necessity…

Quantum Physics · Physics 2024-02-15 Antonio deMarti iOlius , Josu Etxezarreta Martinez

With the development of quantum error correction techniques, quantum low density parity check (QLDPC) codes become a promising area in quantum error correction codes. In this paper, the requirements of QLDPC codes based on points except the…

Quantum Algebra · Mathematics 2023-10-04 Ya'nan Feng , Chuchen Tang , Chenming Bai

Digital data transfer can be protected by means of suitable error correcting codes. Among the families of state-of-the-art codes, LDPC (Low Density Parity-Check) codes have received a great deal of attention recently, because of their…

Information Theory · Computer Science 2022-10-10 Massimo Battaglioni , Giovanni Cancellieri

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

Multi-carrier continuous-variable quantum key distribution (CV-QKD) is considered to be a promising way to boost the secret key rate (SKR) over the existing single-carrier CV-QKD scheme. However, the extra excess noise induced in the…

Quantum Physics · Physics 2023-03-22 Heng Wang , Yan Pan , Yun Shao , Yaodi Pi , Ting Ye , Yang Li , Tao Zhang , Jinlu Liu , Jie Yang , Li Ma , Wei Huang , Bingjie Xu

We introduce and study a family of rate-compatible Low-Density Parity-Check (LDPC) codes characterized by very simple encoders. The design of these codes starts from simplex codes, which are defined by parity-check matrices having a…

Information Theory · Computer Science 2023-09-27 Massimo Battaglioni , Marco Baldi , Franco Chiaraluce , Giovanni Cancellieri

In this paper, we propose a finite alphabet message passing algorithm for LDPC codes that replaces the standard min-sum variable node update rule by a mapping based on generic look-up tables. This mapping is designed in a way that maximizes…

Information Theory · Computer Science 2015-10-16 Alexios Balatsoukas-Stimming , Michael Meidlinger , Reza Ghanaatian , Gerald Matz , Andreas Burg

We develop novel protocols for generating loss-tolerant quantum codes; these are central for safeguarding information against qubit losses, with most crucial applications in quantum communications. Contrary to current proposals, our method…

Quantum Physics · Physics 2025-03-31 Francesco Cesa , Tommaso Feri , Angelo Bassi

Forward error correcting (FEC) codes are used in many communication standards with a wide range of re quirements. FEC codes should work close to capacity, achieve low error floors, and have low decoding complexity. In this paper, we propose…

Information Theory · Computer Science 2025-05-26 Vincent Wüst , Erdem Eray Cil , Laurent Schmalen