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I review the ideas and main results in the derivation of security bounds in quantum key distribution for keys of finite length. In particular, all the detailed studies on specific protocols and implementations indicate that no secret key…

Quantum Physics · Physics 2010-10-05 Valerio Scarani

In this paper, an extension of raptor codes is introduced which keeps all the desirable properties of raptor codes, including the linear complexity of encoding and decoding per information bit, unchanged. The new design, however, improves…

Information Theory · Computer Science 2016-11-17 Kaveh Mahdaviani , Masoud Ardakani , Chintha Tellambura

Quantum communication is an important application that derives from the burgeoning field of quantum information and quantum computation. Focusing on secure communication, quantum cryptography has two major directions of development, namely…

Quantum Physics · Physics 2021-08-31 Junxu Li , Zixuan Hu , Sabre Kais

This article provides a tool for analyzing mechanisms that aim to achieve resilience against stealthy, or undetectable, attacks on cyber-physical systems (CPSs). We consider attackers who are able to corrupt all of the inputs and outputs of…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Paul Griffioen , Bruce H. Krogh , Bruno Sinopoli

Recently, Pareek et al. proposed a symmetric key block cipher using multiple one-dimensional chaotic maps. This paper reports some new findings on the security problems of this kind of chaotic cipher: 1) a number of weak keys exists; 2)…

Chaotic Dynamics · Physics 2010-06-23 Chengqing Li , Shujun Li , Gonzalo Álvarez , Guanrong Chen , Kwok-Tung Lo

The quantum security of lightweight block ciphers is receiving more and more attention. However, the existing quantum attacks on lightweight block ciphers mainly focused on the quantum exhaustive search, while the quantum dedicated attacks…

Quantum Physics · Physics 2021-06-03 Hui Liu , Li Yang

The block maximum method, which is widely used in extreme value analysis, uses a generalized extreme value distribution to approximate that of the maximum of m observations. The quality of this approximation depends on the value of m and…

Methodology · Statistics 2026-05-14 Léo R. Belzile , Anthony C. Davison

A novel fast recursive coding technique is proposed. It operates with only integer values not longer 8 bits and is multiplication free. Recursion the algorithm is based on indirectly provides rather effective coding of symbols for very…

Information Theory · Computer Science 2007-08-22 Nikolay Ponomarenko , Vladimir Lukin , Karen Egiazarian , Jaakko Astola , Boris Y Ryabko

Quantum devices capable of breaking the public-key cryptosystems that Bitcoin relies on to secure its transactions are expected with reasonable probability within a decade. Quantum attacks would put at risk the entire Bitcoin network, which…

Quantum Physics · Physics 2024-10-23 Jamie J. Pont , Joseph J. Kearney , Jack Moyler , Carlos A. Perez-Delgado

We obtain a lower bound on the maximum number of qubits, $Q^{n, \epsilon}(\mathcal{N})$, which can be transmitted over $n$ uses of a quantum channel $\mathcal{N}$, for a given non-zero error threshold $\epsilon$. To obtain our result, we…

Quantum Physics · Physics 2024-12-31 Salman Beigi , Nilanjana Datta , Felix Leditzky

Spatially-Coupled LDPC (SC-LDPC) ensembles achieve the capacity of binary memoryless channels (BMS), asymptotically, under belief-propagation (BP) decoding. In this paper, we study the BP decoding of these code ensembles over a BMS channel…

Information Theory · Computer Science 2016-07-05 Vahid Aref , Narayanan Rengaswamy , Laurent Schmalen

Several upper bounds on the size of quantum codes are derived using the linear programming approach. These bounds are strengthened for the linear quantum codes.

Quantum Physics · Physics 2008-02-03 Alexei Ashikhmin , Simon Litsyn

An unknown vector f in R^n can be recovered from corrupted measurements y = Af + e where A^(m*n)(m>n) is the coding matrix if the unknown error vector e is sparse. We investigate the relationship of the fraction of errors and the recovering…

Information Theory · Computer Science 2010-06-03 Meng Wang , Weiyu Xu , Ao Tang

Random linear network coding can be used in peer-to-peer networks to increase the efficiency of content distribution and distributed storage. However, these systems are particularly susceptible to Byzantine attacks. We quantify the impact…

Networking and Internet Architecture · Computer Science 2016-11-17 MinJi Kim , Luísa Lima , Fang Zhao , Joao Barros , Muriel Medard , Ralf Koetter , Ton Kalker , Keesook Han

Many proposals for quantum information processing are subject to detectable loss errors. In this paper, we show that topological error correcting codes, which protect against computational errors, are also extremely robust against losses.…

Quantum Physics · Physics 2015-05-13 Thomas M. Stace , Sean D. Barrett , Andrew C. Doherty

Literature provides several bounds for quantum local recovery, which essentially consider the number of message qudits, the distance, the length, and the locality of the involved codes. We give a family of $J$-affine variety codes that…

Information Theory · Computer Science 2026-04-07 Carlos Galindo , Fernando Hernando , Helena Martín-Cruz , Ryutaroh Matsumoto

Quantum error correction works effectively only if the error rate of gate operations is sufficiently low. However, some rare physical mechanisms can cause a temporary increase in the error rate that affects many qubits; examples include…

Quantum Physics · Physics 2024-06-28 Shi Jie Samuel Tan , Christopher A. Pattison , Matt McEwen , John Preskill

We consider the problem of communicating over a channel that breaks the message block into fragments of random lengths, shuffles them out of order, and deletes a random fraction of the fragments. Such a channel is motivated by applications…

Information Theory · Computer Science 2024-07-09 Aditya Narayan Ravi , Alireza Vahid , Ilan Shomorony

We present a quantum error correction code which protects three quantum bits (qubits) of quantum information against one erasure, i.e., a single-qubit arbitrary error at a known position. To accomplish this, we encode the original state by…

Quantum Physics · Physics 2007-05-23 Chui-Ping Yang , Shih-I Chu , Siyuan Han

Given a ciphertext, is it possible to prove the deletion of the underlying plaintext? Since classical ciphertexts can be copied, clearly such a feat is impossible using classical information alone. In stark contrast to this, we show that…

Quantum Physics · Physics 2021-01-20 Anne Broadbent , Rabib Islam
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