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Repair operations in distributed storage systems potentially expose the data to malicious acts of passive eavesdroppers or active adversaries, which can be detrimental to the security of the system. This paper presents erasure codes and…

Information Theory · Computer Science 2015-08-18 Nihar B. Shah , K. V. Rashmi , Kannan Ramchandran , P. Vijay Kumar

We discuss the security implications of noise for quantum coin tossing protocols. We find that if quantum error correction can be used, so that noise levels can be made arbitrarily small, then reasonable security conditions for coin tossing…

Quantum Physics · Physics 2009-11-10 Jonathan Barrett , Serge Massar

Sensitivity to noise makes most of the current quantum computing schemes prone to error and nonscalable, allowing only for small proof-of-principle devices. Topologically-protected quantum computing aims at solving this problem by encoding…

Disordered Systems and Neural Networks · Physics 2013-12-17 Helmut G. Katzgraber , Ruben S. Andrist

This is an expository article aiming to introduce the reader to the underlying mathematics and geometry of quantum error correction. Information stored on quantum particles is subject to noise and interference from the environment. Quantum…

Quantum Physics · Physics 2024-01-10 Simeon Ball , Aina Centelles , Felix Huber

Regenerating codes are a class of codes proposed for providing reliability of data and efficient repair of failed nodes in distributed storage systems. In this paper, we address the fundamental problem of handling errors and erasures during…

Information Theory · Computer Science 2015-03-20 K. V. Rashmi , Nihar B. Shah , Kannan Ramchandran , P. Vijay Kumar

Proposals for quantum computing devices are many and varied. They each have unique noise processes that make none of them fully reliable at this time. There are several error correction/avoidance techniques which are valuable for reducing…

Quantum Physics · Physics 2015-06-26 Mark S. Byrd , Daniel A. Lidar

We present the first protocol for oblivious transfer that can be implemented with an optical continuous-variable system, and prove its security in the noisy-storage model. This model allows security to be achieved by sending more quantum…

Quantum Physics · Physics 2015-10-01 Fabian Furrer , Christian Schaffner , Stephanie Wehner

Noise causes severe difficulties in implementing quantum computing and quantum cryptography. Several schemes have been suggested to reduce this problem, mainly focusing on quantum computation. Motivated by quantum cryptography, we suggest a…

Quantum Physics · Physics 2007-05-23 T. Mor

Protecting data from malicious computer users continues to grow in importance. Whether preventing unauthorized access to personal photographs, ensuring compliance with federal regulations, or ensuring the integrity of corporate secrets, all…

Operating Systems · Computer Science 2007-05-23 Paul Stanton

Data-driven software engineering processes, such as vulnerability prediction heavily rely on the quality of the data used. In this paper, we observe that it is infeasible to obtain a noise-free security defect dataset in practice. Despite…

Software Engineering · Computer Science 2022-04-04 Roland Croft , M. Ali Babar , Huaming Chen

Ongoing research and experiments have enabled quantum memory to realize the storage of qubits. On the other hand, interleaving techniques are used to deal with burst of errors. Effective interleaving techniques for combating burst of errors…

Due to the fragility of quantum mechanical effects, real quantum computers are plagued by frequent noise effects that cause errors during computations. Quantum error-correcting codes address this problem by providing means to identify and…

Quantum Physics · Physics 2023-01-18 Thomas Grurl , Christoph Pichler , Jürgen Fuß , Robert Wille

We show how to implement cryptographic primitives based on the realistic assumption that quantum storage of qubits is noisy. We thereby consider individual-storage attacks, i.e. the dishonest party attempts to store each incoming qubit…

Quantum Physics · Physics 2008-06-20 Stephanie Wehner , Christian Schaffner , Barbara Terhal

The theory of stabilizer quantum error correction allows us to actively stabilize quantum states and simulate ideal quantum operations in a noisy environment. It is critical is to correctly diagnose noise from its syndrome and nullify it…

Quantum Physics · Physics 2014-12-03 Yuichiro Fujiwara

Quantum error correction protects quantum information against environmental noise. When using qubits, a measure of quality of a code is the maximum number of errors that it is able to correct. We show that a suitable notion of ``number of…

Quantum Physics · Physics 2007-05-23 Emanuel Knill , Raymond Laflamme , Lorenza Viola

We construct two-dimensional codes for correcting burst errors using the finite field Fourier transform. The encoding procedure is performed in the transformed domain using the conjugacy property of the finite field Fourier transform. The…

Information Theory · Computer Science 2015-08-04 Shounak Roy , Shayan G. Srinivasa

Quantum computation holds the promise of solving certain complex problems exponentially faster than classical computers. However, the high prevalent noise in current quantum devices impedes the accurate execution of even basic algorithms.…

Quantum Physics · Physics 2026-05-13 Prithviraj Prabhu

This paper reviews and highlights how coding schemes have been used to solve various problems in blockchain systems. Specifically, these problems relate to scaling blockchains in terms of their data storage, computation and communication…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-22 Changlin Yang , Kwan-Wu Chin , Jiguang Wang , Xiaodong Wang , Ying Liu , Zibin Zheng

This is an introduction to software methods of quantum fault tolerance. Broadly speaking, these methods describe strategies for using the noisy hardware components of a quantum computer to perform computations while continually monitoring…

Quantum Physics · Physics 2013-12-06 Panos Aliferis

Quantum error correction is capable of digitizing quantum noise and increasing the robustness of qubits. Typically, error correction is designed with the target of eliminating all errors - making an error so unlikely it can be assumed that…

Quantum Physics · Physics 2022-05-20 Salonik Resch , Ulya R. Karpuzcu