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Typically, fault-tolerant operations and code concatenation are reserved for quantum error correction due to their resource overhead. Here, we show that fault tolerant operations have a large impact on the performance of symmetry based…

Quantum Physics · Physics 2024-07-19 Alvin Gonzales , Anjala M Babu , Ji Liu , Zain Saleem , Mark Byrd

A securely maintained key is the premise upon which data stored and transmitted by ubiquitously deployed resource limited devices, such as those in the Internet of Things (IoT), are protected. However, many of these devices lack a secure…

Cryptography and Security · Computer Science 2019-02-11 Yansong Gao , Yang Su , Wei Yang , Shiping Chen , Surya Nepal , Damith C. Ranasinghe

In cloud computing, storage area networks, remote backup storage, and similar settings, stored data is modified with updates from new versions. Representing information and modifying the representation are both expensive. Therefore it is…

Information Theory · Computer Science 2011-05-11 Lav R. Varshney , Julius Kusuma , Vivek K Goyal

Error-correcting codes are usually envisioned to counter errors by operating unitary corrections depending on the projective measurement results of some syndrome observables. We here propose a way to use them in a more integrated way, where…

Quantum Physics · Physics 2020-10-07 Vincent Martin , Alain Sarlette

List recovery is a fundamental task for error-correcting codes, vastly generalizing unique decoding from worst-case errors and list decoding. Briefly, one is given ''soft information'' in the form of input lists S_1,...,S_n of bounded size,…

Information Theory · Computer Science 2025-10-10 Nicolas Resch , S. Venkitesh

This paper presents and analyzes a novel concatenated coding scheme for enabling error resilience in two distributed storage settings: one being storage using existing regenerating codes and the second being storage using locally repairable…

Information Theory · Computer Science 2013-12-12 Natalia Silberstein , Ankit Singh Rawat , Sriram Vishwanath

We show that every correctable subsystem for an arbitrary noise operation can be recovered by a unitary operation, where the notion of recovery is more relaxed than the notion of correction insofar as it does not protect the subsystem from…

Quantum Physics · Physics 2007-05-23 David W. Kribs , Robert W. Spekkens

Quantum cryptographic definitions are often sensitive to the number of copies of the cryptographic states revealed to an adversary. Making definitional changes to the number of copies accessible to an adversary can drastically affect…

Quantum Physics · Physics 2026-03-10 Prabhanjan Ananth , Eli Goldin

Generating secure random numbers is a central problem in cryptography that needs a reliable source of enough computing entropy. Without enough entropy available - meaning no good source of secure random numbers - a device is susceptible to…

Cryptography and Security · Computer Science 2018-10-02 JV Roig

Convolutional codes are constructed, designed and analysed using row and/or block structures of unit algebraic schemes. Infinite series of such codes and of codes with specific properties are derived. Properties are shown algebraically and…

Rings and Algebras · Mathematics 2018-04-04 Ted Hurley

Entropy or randomness represents a foundational security property in security-related operations, such as key generation. Key generation in turn is central to security protocols such as authentication and encryption. Physical unclonable…

Cryptography and Security · Computer Science 2024-08-14 Jenilee Jao , Kristi Hoffman , Cheryl Reid , Ryan Thomson , Michael Thompson , Jim Plusquellic

In order to achieve fault tolerance, highly reliable system often require the ability to detect errors as soon as they occur and prevent the speared of erroneous information throughout the system. Thus, the need for codes capable of…

Information Theory · Computer Science 2010-02-08 Muzhir Al-Ani , Qeethara Al-Shayea

Unary coding has found applications in data compression, neural network training, and in explaining the production mechanism of birdsong. Unary coding is redundant; therefore it should have inherent error correction capacity. An expression…

Information Theory · Computer Science 2014-12-01 Pushpa Sree Potluri

Quantum error-correcting codes (QECCs) and decoherence-free subspace (DFS) codes provide active and passive means, respectively, to address certain types of errors that arise during quantum computation. The latter technique is suitable to…

Quantum Physics · Physics 2024-07-02 Nihar Ranjan Dash , Sanjoy Dutta , R. Srikanth , Subhashish Banerjee

Fractional repetition (FR) codes are a class of regenerating codes for distributed storage systems with an exact (table-based) repair process that is also uncoded, i.e., upon failure, a node is regenerated by simply downloading packets from…

Information Theory · Computer Science 2016-02-09 Oktay Olmez , Aditya Ramamoorthy

It has been found that an algorithm can generate true random numbers on classical computer. The algorithm can be used to generate unbreakable message PIN (personal identification number) and password.

Cryptography and Security · Computer Science 2007-08-23 Arindam Mitra

With the advent of Physical Unclonable Functions (PUFs), PUF-based quantum authentication systems (QAS) have been proposed for security purposes and recently proof-of-principle experiment has been demonstrated. As a further step towards…

Quantum Physics · Physics 2016-12-15 Yao Yao , Ming Gao , Mo Li , Jian Zhang

Quantum error correction is expected to be essential in large-scale quantum technologies. However, the substantial overhead of qubits it requires is thought to greatly limit its utility in smaller, near-term devices. Here we introduce a new…

Quantum Physics · Physics 2020-01-20 David Layden , Mo Chen , Paola Cappellaro

Program obfuscation is a widely employed approach for software intellectual property protection. However, general obfuscation methods (e.g., lexical obfuscation, control obfuscation) implemented in mainstream obfuscation tools are heuristic…

Cryptography and Security · Computer Science 2017-10-04 Hui Xu , Yangfan Zhou , Yu Kang , Michael R. Lyu

In this paper we study codes for correcting deletable errors in binary words, where each bit is either retained, substituted, erased or deleted and the total number of errors is much smaller compared to the length of the codeword. We…

Information Theory · Computer Science 2021-03-02 Ghurumuruhan Ganesan