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We propose and demonstrate a quantum key distribution scheme in higher-order $d$-dimensional alphabets using spatial degrees of freedom of photons. Our implementation allows for the transmission of 4.56 bits per sifted photon, while…

Quantum Physics · Physics 2009-11-11 S. P. Walborn , D. S. Lemelle , M. P. Almeida , P. H. Souto Ribeiro

Quantum key distribution (QKD) allows two distant parties to share encryption keys with security based on laws of quantum mechanics. In order to share the keys, the quantum bits have to be transmitted from the sender to the receiver over a…

Information Theory · Computer Science 2019-09-09 Sathwik Chadaga , Mridul Agarwal , Vaneet Aggarwal

In quantum key distribution (QKD), protocols are tailored to adopt desirable experimental attributes, including high key rates, operation in high noise levels, and practical security considerations. The round-robin differential phase shift…

A decoding algorithm for $q$-ary low-density parity-check codes over the $q$-ary symmetric channel is introduced. The exchanged messages are lists of symbols from $\Fq$. A density evolution analysis for maximum list sizes $1$ and $2$ is…

Information Theory · Computer Science 2021-04-14 Emna Ben Yacoub

The coherent one-way (COW) quantum key distribution (QKD) is a highly practical quantum communication protocol that is currently deployed in off-the-shelves products. However, despite its simplicity and widespread use, the security of…

Quantum Physics · Physics 2022-12-26 Emilien Lavie , Charles C. -W. Lim

Since the introduction of quantum computation by Richard Feynman in 1982, Quantum computation has shown exemplary results in various applications of computer science including unstructured database search, factorization, molecular…

Quantum Physics · Physics 2020-07-29 Hemant Rana , Nitin Verma

Binary LDPC coded relay systems have been well studied previously with the assumption of infinite codeword length. In this paper, we deal with non-binary LDPC codes which can outperform their binary counterpart especially for practical…

Information Theory · Computer Science 2011-08-17 Puripong Suthisopapan , Kenta Kasai , Anupap Meesomboon , Virasit Imtawil , Kohichi Sakaniwa

We present security proofs for a protocol for Quantum Key Distribution (QKD) based on encoding in finite high-dimensional Hilbert spaces. This protocol is an extension of Bennett's and Brassard's basic protocol from two bases, two state…

Quantum Physics · Physics 2009-11-07 Mohamed Bourennane , Anders Karlsson , Gunnar Bjork , Nicolas Gisin , Nicolas Cerf

High-capacity NAND flash memories use multi-level cells (MLCs) to store multiple bits per cell and achieve high storage densities. Higher densities cause increased raw bit error rates (BERs), which demand powerful error correcting codes.…

Information Theory · Computer Science 2012-02-08 Jiadong Wang , Guiqiang Dong , Tong Zhang , Richard Wesel

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

This paper uses the reconstruction-computation-quantization (RCQ) paradigm to decode low-density parity-check (LDPC) codes. RCQ facilitates dynamic non-uniform quantization to achieve good frame error rate (FER) performance with very low…

Signal Processing · Electrical Eng. & Systems 2022-02-10 Linfang Wang , Caleb Terrill , Maximilian Stark , Zongwang Li , Sean Chen , Chester Hulse , Calvin Kuo , Richard Wesel , Gerhard Bauch , Rekha Pitchumani

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

In this paper, we present a novel log-log domain sum-product algorithm (SPA) for decoding low-density parity-check (LDPC) codes in continuous-variable quantum key distribution (CV-QKD) systems. This algorithm reduces the fractional bit…

Information Theory · Computer Science 2024-01-26 Erdem Eray Cil , Laurent Schmalen

In this paper, we give a distributed joint source channel coding scheme for arbitrary correlated sources for arbitrary point in the Slepian-Wolf rate region, and arbitrary link capacities using LDPC codes. We consider the Slepian-Wolf…

Information Theory · Computer Science 2008-02-20 Vaneet Aggarwal

With the advent of quantum key distribution (QKD) systems, perfect (i.e. information-theoretic) security can now be achieved for distribution of a cryptographic key. QKD systems and similar protocols use classical error-correcting codes for…

Information Theory · Computer Science 2007-07-13 Andrew Thangaraj , Souvik Dihidar , A. R. Calderbank , Steven McLaughlin , Jean-Marc Merolla

Improvement in secure transmission of information is an urgent practical need for governments, corporations and individuals. Quantum key distribution (QKD) promises security based on the laws of physics and has rapidly grown from…

Quantum low-density parity-check (QLDPC) codes are promising candidates for error correction in quantum computers. One of the major challenges in implementing QLDPC codes in quantum computers is the lack of a universal decoder. In this…

Quantum Physics · Physics 2025-02-18 Sisi Miao , Alexander Schnerring , Haizheng Li , Laurent Schmalen

Quantum Key Distribution, as a branch of quantum mechanics in cryptography, can distribute keys between legal communication parties in an unconditionally secure manner, thus can realize in transmitting confidential information with…

Quantum Physics · Physics 2020-03-10 Han Duo , Li Zhihui , Liu Chengji , Gao Feifei

Combined with one-time pad encryption scheme, quantum key distribution guarantees the unconditional security of communication in theory. However, error correction and privacy amplification in the post-processing phase of quantum key…

Quantum Physics · Physics 2021-12-21 Junbing Fang , Zhengzhong Yi , Jin Li , Zhipeng Liang , Yulin Wu , Wen Lei , Zoe Lin Jiang , Xuan Wang

Quantum key distribution (QKD) exploits the quantum nature of light to share provably secure keys, allowing secure communication in the presence of an eavesdropper. The first QKD schemes used photons encoded in two states, such as…