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Consider a distributed control problem with a communication channel connecting the observer of a linear stochastic system to the controller. The goal of the controller is to minimize a quadratic cost function in the state variables and…

Information Theory · Computer Science 2017-10-20 Victoria Kostina , Babak Hassibi

Module Learning with Errors (M-LWE) based key reconciliation mechanisms (KRM) can be viewed as quantizing an M-LWE sample according to a lattice codebook. This paper describes a generic M-LWE-based KRM framework, valid for any dimensional…

Information Theory · Computer Science 2024-01-30 Shuiyin Liu , Amin Sakzad

The work identifies the first general, explicit, and non-random MIMO encoder-decoder structures that guarantee optimality with respect to the diversity-multiplexing tradeoff (DMT), without employing a computationally expensive…

Information Theory · Computer Science 2016-11-18 Joakim Jalden , Petros Elia

Quantum annealing (QA) is proposed for vector perturbation precoding (VPP) in multiple input multiple output (MIMO) communications systems. The mathematical framework of VPP is presented, outlining the problem formulation and the benefits…

Information Theory · Computer Science 2024-02-15 Samuel Winter , Yangyishi Zhang , Gan Zheng , Lajos Hanzo

We study theoretically the transfer of quantum information along bends in two-dimensional discrete lattices. Our analysis shows that the fidelity of the transfer decreases considerably, as a result of interactions in the neighbourhood of…

Quantum Physics · Physics 2013-08-19 G. M. Nikolopoulos , A. Hoskovec , I. Jex

The so-called min-sum algorithm has been applied for decoding lattices constructed by Construction D'. We generalize this iterative decoding algorithm to decode lattices constructed by Construction D. An upper bound on the decoding…

Cryptography and Security · Computer Science 2012-01-20 Hassan Mehri

This paper considers Lorden's minimax quickest change detection (QCD) problem with a privacy constraint. The goal is to sanitize a signal to satisfy inference privacy requirements while being able to detect a change quickly. We show that…

Information Theory · Computer Science 2020-09-21 Tze Siong Lau , Wee Peng Tay

We consider the problem of revealing a small hidden lattice from the knowledge of a low-rank sublattice modulo a given sufficiently large integer -- the {\em Hidden Lattice Problem}. A central motivation of study for this problem is the…

Number Theory · Mathematics 2021-11-11 Luca Notarnicola , Gabor Wiese

We propose two low-complexity lattice code constructions that have competitive coding and shaping gains. The first construction, named systematic Voronoi shaping, maps short blocks of integers to the dithered Voronoi integers, which are…

Information Theory · Computer Science 2016-08-04 Nuwan S. Ferdinand , Brian M. Kurkoski , Matthew Nokleby , Behnaam Aazhang

Privacy-preserving distributed processing has received considerable attention recently. The main purpose of these algorithms is to solve certain signal processing tasks over a network in a decentralised fashion without revealing…

Signal Processing · Electrical Eng. & Systems 2023-12-14 Sebastian O. Jordan , Qiongxiu Li , Richard Heusdens

The Quantum Lattice Boltzmann Method (QLBM) is one of the most promising approaches for realizing the potential of quantum computing in simulating computational fluid dynamics. Many recent works mostly focus on classical simulation, and…

Quantum Physics · Physics 2025-04-23 Apurva Tiwari , Jason Iaconis , Jezer Jojo , Sayonee Ray , Martin Roetteler , Chris Hill , Jay Pathak

In recent years, the compression of large language models (LLMs) has emerged as a key problem in facilitating LLM deployment on resource-limited devices, reducing compute costs, and mitigating the environmental footprint due to large-scale…

Machine Learning · Computer Science 2025-05-07 Sean I. Young

Data-parallel SGD is the de facto algorithm for distributed optimization, especially for large scale machine learning. Despite its merits, communication bottleneck is one of its persistent issues. Most compression schemes to alleviate this…

Neural and Evolutionary Computing · Computer Science 2024-02-07 Ashok Vardhan Makkuva , Marco Bondaschi , Thijs Vogels , Martin Jaggi , Hyeji Kim , Michael C. Gastpar

In this work, the problem of communicating decisions of a classifier over a noisy channel is considered. With machine learning based models being used in variety of time-sensitive applications, transmission of these decisions in a reliable…

Information Theory · Computer Science 2024-04-24 Noel Teku , Sudarshan Adiga , Ravi Tandon

This paper investigates the design and performance of delayed bit-interleaved coded modulation (DBICM) with low-density parity-check (LDPC) codes. For Gray labeled square $M$-ary quadrature amplitude modulation (QAM) constellations, we…

Information Theory · Computer Science 2021-03-04 Yihuan Liao , Min Qiu , Jinhong Yuan

Bias-tailoring allows quantum error correction codes to exploit qubit noise asymmetry. Recently, it was shown that a modified form of the surface code, the XZZX code, exhibits considerably improved performance under biased noise. In this…

Lattice QCD was invented thirty years ago but only in the last few years has it finally fulfilled its promise as a precision tool for calculations in hadron physics. This review will cover the fundamentals of discretising QCD onto a…

High Energy Physics - Lattice · Physics 2007-05-23 Christine Davies

The multiple description (MD) problem has received considerable attention as a model of information transmission over unreliable channels. A general framework for designing efficient multiple description quantization schemes is proposed in…

Information Theory · Computer Science 2016-11-18 Jun Chen , Chao Tian , Toby Berger , Sheila Hemami

We consider the problem of transmitting a source over an infinite-bandwidth additive white Gaussian noise channel with unknown noise level under an input energy constraint. We construct a universal scheme that uses modulo-lattice modulation…

Information Theory · Computer Science 2024-10-28 Omri Lev , Anatoly Khina

Consider a pair of correlated Gaussian sources (X1,X2). Two separate encoders observe the two components and communicate compressed versions of their observations to a common decoder. The decoder is interested in reconstructing a linear…

Information Theory · Computer Science 2007-07-25 D. Krithivasan , S. S. Pradhan