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We present the construction of a new family of erasure correcting codes for distributed storage that yield low repair bandwidth and low repair complexity. The construction is based on two classes of parity symbols. The primary goal of the…

信息论 · 计算机科学 2015-08-28 Siddhartha Kumar , Alexandre Graell i Amat , Iryna Andriyanova , Fredrik Brännström

While random linear network coding is a powerful tool for disseminating information in communication networks, it is highly susceptible to errors caused by various sources. Due to error propagation, errors greatly deteriorate the throughput…

信息论 · 计算机科学 2016-11-15 Ning Chen , Zhiyuan Yan , Maximilien Gadouleau , Ying Wang , Bruce W. Suter

Quantum error correction requires the use of error syndromes derived from measurements that may be unreliable. Recently, quantum data-syndrome (QDS) codes have been proposed as a possible approach to protect against both data and syndrome…

量子物理 · 物理学 2023-02-06 Andrew Nemec

In practical implementation of quantum key distributions (QKD), it requires efficient, real-time feedback control to maintain system stability when facing disturbance from either external environment or imperfect internal components.…

量子物理 · 物理学 2019-08-07 Jing-Yang Liu , Hua-Jian Ding , Chun-Mei Zhang , Shi-Peng Xie , Qin Wang

Streaming erasure codes guarantee that each source packet is recovered within a fixed delay at the receiver over a burst-erasure channel. This paper introduces a new class of streaming codes: Diversity Embedded Streaming Erasure Codes…

信息论 · 计算机科学 2011-02-22 Ahmed Badr , Ashish Khisti , Emin Martinian

Learning a stable Linear Dynamical System (LDS) from data involves creating models that both minimize reconstruction error and enforce stability of the learned representation. We propose a novel algorithm for learning stable LDSs. Using a…

机器学习 · 计算机科学 2020-11-19 Giorgos Mamakoukas , Orest Xherija , T. D. Murphey

This paper is concerned with the stability analysis of encrypted observer-based control for linear continuous-time systems. Since conventional encryption has limited ability to deploy in continuous-time integral computation, our work…

系统与控制 · 电气工程与系统科学 2024-02-15 Hung Nguyen , Binh Nguyen , Hyung-Gohn Lee , Hyo-Sung Ahn

Recovering a low-complexity signal from its noisy observations by regularization methods is a cornerstone of inverse problems and compressed sensing. Stable recovery ensures that the original signal can be approximated linearly by optimal…

最优化与控制 · 数学 2025-05-30 Tran T. A. Nghia , Huy N. Pham , Nghia V. Vo

Quantum convolutional code was introduced recently as an alternative way to protect vital quantum information. To complete the analysis of quantum convolutional code, I report a way to decode certain quantum convolutional codes based on the…

量子物理 · 物理学 2009-10-31 H. F. Chau

Having protected quantum information is essential to perform quantum computations. One possibility is to reduce the number of particles needing to be protected from noise and instead use systems with more states, so called qudit quantum…

量子物理 · 物理学 2021-01-29 Lane G. Gunderman

This paper addresses the problem of risk-aware fixed-time stabilization of a class of uncertain, output-feedback nonlinear systems modeled via stochastic differential equations. First, novel classes of certificate functions, namely…

最优化与控制 · 数学 2024-04-01 Mitchell Black , Georgios Fainekos , Bardh Hoxha , Dimitra Panagou

In this paper an extended scalability condition is proposed to achieve the ground-state stability for a class of multipartite quantum systems which may involve two-body interactions, and an explicit procedure to construct the dissipation…

量子物理 · 物理学 2016-11-02 Yu Pan , Thien Nguyen

An analog communication channel typically achieves its full capacity when the distribution of inputs is discrete, composed of just K symbols, such as voltage levels or wavelengths. As the effective noise level goes to zero, for example by…

统计力学 · 物理学 2019-05-07 Michael C. Abbott , Benjamin B. Machta

To build a fault-tolerant quantum computer, it is necessary to implement a quantum error correcting code. Such codes rely on the ability to extract information about the quantum error syndrome while not destroying the quantum information…

In this work, we propose novel LMI-based controller synthesis frameworks for periodically time-varying Markov-jump linear systems. We first discuss the necessary conditions for mean square stability and derive Lyapunov-like conditions for…

最优化与控制 · 数学 2024-09-19 Shaurya Shrivastava , Kenshiro Oguri

Future quantum architectures are expected to be modular, with quantum processors connecting multiple quantum processing units (QPUs) via photonic interconnects. In topological quantum error correction, such as color codes, this creates seam…

This paper presents flexible storage codes, a class of error-correcting codes that can recover information from a flexible number of storage nodes. As a result, one can make a better use of the available storage nodes in the presence of…

信息论 · 计算机科学 2021-06-23 Weiqi Li , Zhiying Wang , Taiting Lu , Hamid Jafarkhani

Mapping an error syndrome to the error operator is the core of quantum decoding network and is also the key step of recovery. The definitions of the bit-flip error syndrome matrix and the phase-flip error syndrome matrix were presented, and…

密码学与安全 · 计算机科学 2010-09-21 Fangying Xiao , Hanwu Chen

We study the self-triggered stabilization of discrete-time linear systems with quantized state measurements. In the networked control system we consider, sensors may be spatially distributed and be connected to a self-triggering mechanism…

最优化与控制 · 数学 2022-04-08 Masashi Wakaiki

We propose an encoding and control strategy for the stabilization of switched systems with limited information, supposing the controller is given for each mode. Only the quantized output and the active mode of the plant at each sampling…

系统与控制 · 计算机科学 2014-12-19 Masashi Wakaiki , Yutaka Yamamoto
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