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This paper presents a robust data-driven controller design based on the noisy input-output data without assumptions on the statistical properties of the noises. We start with the direct data-representation of system models that take…

Optimization and Control · Mathematics 2023-02-24 Chin-Yao Chang , Andrey Bernstein

Phased burst errors (PBEs) are bursts of errors occurring at one or more known locations. The correction of PBEs is a classical topic in coding theory, with prominent applications such as the design of array codes for memory systems or…

Information Theory · Computer Science 2025-01-29 Sebastian Bitzer , Andrea Di Giusto , Alberto Ravagnani , Eitan Yaakobi

In this work, we introduce a new concatenation scheme which aims at protecting information against the occurrence of both computational errors and quantum erasures. According to our scheme, the internal code must be a quantum…

Quantum Physics · Physics 2013-05-21 Gilson O. dos Santos , Francisco M. de Assis

When digital data are transmitted over a noisy channel, it is important to have a mechanism allowing recovery against a limited number of errors. Normally, a user string of 0's and 1's, called bits, is encoded by adding a number of…

Information Theory · Computer Science 2019-08-28 Mario Blaum

The main ideas of quantum error correction are introduced. These are encoding, extraction of syndromes, error operators, and code construction. It is shown that general noise and relaxation of a set of 2-state quantum systems can always be…

Quantum Physics · Physics 2007-05-23 A. M. Steane

In this paper, we show that the Advanced Encryption Standard (AES) cryptosystem can be used as an error-correcting code to obtain reliability over noisy communication and data systems. Moreover, we characterize a family of computational…

Information Theory · Computer Science 2022-09-12 Alejandro Cohen , Rafael G. L. D'Oliveira , Ken R. Duffy , Jongchan Woo , Muriel Médard

State preparation that initializes quantum systems in a fiducial state and measurements to read outcomes after the evolution of quantum states, both essential elements in quantum information processing in general, may contain noise from…

Quantum Physics · Physics 2024-05-13 Jaemin Kim , Seungchan Seo , Jiyoung Yun , Joonwoo Bae

The tremendous amount of accessible data in cyberspace face the risk of being unauthorized used for training deep learning models. To address this concern, methods are proposed to make data unlearnable for deep learning models by adding a…

Machine Learning · Computer Science 2022-03-29 Shaopeng Fu , Fengxiang He , Yang Liu , Li Shen , Dacheng Tao

Permutation codes and multi-permutation codes have been widely considered due to their various applications, especially in flash memory. In this paper, we consider permutation codes and multi-permutation codes against a burst of stable…

Information Theory · Computer Science 2023-03-14 Yubo Sun , Yiwei Zhang , Gennian Ge

Because of its high data density and longevity, DNA is emerging as a promising candidate for satisfying increasing data storage needs. Compared to conventional storage media, however, data stored in DNA is subject to a wider range of errors…

Information Theory · Computer Science 2020-08-20 Yuanyuan Tang , Farzad Farnoud

The interest in "Physically Unclonable Function"-devices has increased rapidly over the last few years, as they have several interesting properties for system security related applications like, for example, the management of cryptographic…

Applications · Statistics 2014-09-30 Benjamin Hackl , Daniel Kurz , Clemens Heuberger , Jürgen Pilz , Martin Deutschmann

Quantum information can be protected from decoherence and other errors, but only if these errors are sufficiently rare. For quantum computation to become a scalable technology, practical schemes for quantum error correction that can…

Quantum Physics · Physics 2013-12-13 Ashley M. Stephens , William J. Munro , Kae Nemoto

The implementation of large-scale fault-tolerant quantum computers calls for the integration of millions of physical qubits, with error rates of physical qubits significantly below 1%. This outstanding engineering challenge may benefit from…

Mesoscale and Nanoscale Physics · Physics 2021-12-30 Jeroen Danon , Anasua Chatterjee , András Gyenis , Ferdinand Kuemmeth

As quantum computing hardware steadily increases in qubit count and quality, one important question is how to allocate these resources to mitigate the effects of hardware noise. In a transitional era between noisy small-scale and fully…

Modern parallel filesystems such as Lustre are designed to provide high, scalable I/O bandwidth in response to growing I/O requirements; however, the bursty I/O characteristics of many data-intensive scientific applications make it…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-08 Teng Wang , Sarp Oral , Michael Pritchard , Kevin Vasko , Weikuan Yu

Quantum error correction protocols have been developed to offset the high sensitivity to noise inherent in quantum systems. However, much is still unknown about the behaviour of a quantum error-correcting code under general noise, including…

Quantum Physics · Physics 2021-06-09 Stefanie J. Beale , Joel J. Wallman

An ongoing challenge in current natural language processing is how its major advancements tend to disproportionately favor resource-rich languages, leaving a significant number of under-resourced languages behind. Due to the lack of…

Computation and Language · Computer Science 2023-02-13 Ruoyu Xie , Antonios Anastasopoulos

To ensure differential privacy, one can reveal an integer fuzzily in two ways: (a) add some Laplace noise to the integer, or (b) encode the integer as a binary string and add iid BSC noise. The former is simple and natural while the latter…

Information Theory · Computer Science 2024-06-26 Venkatesan Guruswami , Hsin-Po Wang

This paper constructs a non-binary code correcting a single $b$-burst of insertions or deletions with a large cardinality. This paper also proposes a decoding algorithm of this code and evaluates a lower bound of the cardinality of this…

Information Theory · Computer Science 2018-08-10 Toyohiko Saeki , Takayuki Nozaki

Concurrent coding is an unconventional encoding technique that simultaneously provides protection against noise, burst errors and interference. This simple-to-understand concept is investigated by distinguishing 2 types of code, open and…

Information Theory · Computer Science 2019-01-29 David M Benton