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In this work, we describe a logic device in which an act of computation is associated with finding a path connecting input and output ports. The device is based on an active ring circuit comprising electric and magnetic parts. The electric…

Emerging Technologies · Computer Science 2022-03-01 Alexander Khitun , Michael Balinskiy

In almost all of the currently working circuits, especially in analog circuits implementing signal processing applications, basic arithmetic operations such as multiplication, addition, subtraction and division are performed on values which…

Hardware Architecture · Computer Science 2010-09-03 Farnood Merrikh-Bayat , Saeed Bagheri Shouraki

This paper introduces SiQAD, a computer-aided design tool enabling the rapid design and simulation of atomic silicon dangling bond quantum dot patterns capable of computational logic. Several simulation tools are included, each able to…

Communication systems with low-resolution analog-to-digital-converters (ADCs) can exploit channel state information at the transmitter (CSIT) and receiver. This paper presents initial results on codebook design and performance analysis for…

Information Theory · Computer Science 2015-12-22 Jianhua Mo , Robert W. Heath

State-of-the-art techniques for modeling, analysis and control of three-phase electrical systems belong to the real-valued multi-input/multi-output (MIMO) domain, or to the complex-valued nonlinear single-input/single-output (SISO) domain.…

Systems and Control · Electrical Eng. & Systems 2025-05-08 Manel Velasco , Isiah Zaplana , Arnau Dòria-Cerezo , Josué Duarte , Pau Martí

Clifford algebras are used for definition of spinors. Because of using spin-1/2 systems as an adequate model of quantum bit, a relation of the algebras with quantum information science has physical reasons. But there are simple mathematical…

Quantum Physics · Physics 2007-05-23 Alexander Yu. Vlasov

Hybrid quantum-classical systems make it possible to utilize existing quantum computers to their fullest extent. Within this framework, parameterized quantum circuits can be regarded as machine learning models with remarkable expressive…

Quantum Physics · Physics 2019-11-15 Marcello Benedetti , Erika Lloyd , Stefan Sack , Mattia Fiorentini

We present superconducting quantum circuits which exhibit atomic energy spectrum and selection rules as ladder and lambda three-level configurations designed by means of genetic algorithms. These heuristic optimization techniques are…

Quantum Physics · Physics 2025-06-17 F. A. Cárdenas-López , J. C. Retamal , Xi Chen , G. Romero , M. Sanz

Polymorphic circuits are a special kind of digital logic components, which possess multiple build-in functions. In different environments, a polymorphic circuit would perform different functions. Evolutionary Algorithms, Binary Decision…

Emerging Technologies · Computer Science 2017-09-12 Zhifang Li , Wenjian Luo , Lihua Yue , Xufa Wang

This paper presents a highly efficient decomposition scheme and its associated Mathematica notebook for the analysis of complicated quantum circuits comprised of single/multiple qubit and qudit quantum gates. In particular, this scheme…

Quantum Physics · Physics 2015-06-03 T. Loke , J. B. Wang

Matrix computation is ubiquitous in modern scientific and engineering fields. Due to the high computational complexity in conventional digital computers, matrix computation represents a heavy workload in many data-intensive applications,…

Emerging Technologies · Computer Science 2022-05-13 Zhong Sun , Daniele Ielmini

While recent work has begun to uncover the internal strategies that Large Language Models (LLMs) employ for simple arithmetic tasks, a unified understanding of their underlying mechanisms is still lacking. We extend recent findings showing…

Computation and Language · Computer Science 2025-08-05 Tanja Baeumel , Daniil Gurgurov , Yusser al Ghussin , Josef van Genabith , Simon Ostermann

In this paper, we investigate few memristor-based analog circuits namely the phase shift oscillator, integrator, and differentiator which have been explored numerously using the traditional lumped components. We use LTspice-IV platform for…

Emerging Technologies · Computer Science 2017-03-31 G. S. Patil , S. R. Ghatage , P. K. Gaikwad , R. K. Kamat , T. D. Dongale

Robust automated design tools are crucial for the proliferation of any computing technology. We introduce the first automated design tool for the silicon dangling bond quantum dot computing technology, which is an extremely versatile and…

Emerging Technologies · Computer Science 2022-04-14 Robert Lupoiu , Samuel S. H. Ng , Jonathan A. Fan , Konrad Walus

A major hurdle to the deployment of quantum linear systems algorithms and recent quantum simulation algorithms lies in the difficulty to find inexpensive reversible circuits for arithmetic using existing hand coded methods. Motivated by…

Quantum Physics · Physics 2016-12-05 Mathias Soeken , Martin Roetteler , Nathan Wiebe , Giovanni De Micheli

In certain scientific domains, there is a need for tensor operations. To facilitate tensor computations,computer algebra systems are employed. In our research, we have been using Cadabra as the main computer algebra system for several…

Symbolic Computation · Computer Science 2019-06-07 D. S. Kulyabov , A. V. Korolkova , L. A. Sevastianov

The capability of R to do symbolic mathematics is enhanced by the caracas package. This package uses the Python computer algebra library SymPy as a back-end but caracas is tightly integrated in the R environment, thereby enabling the R user…

Applications · Statistics 2021-04-20 Mikkel Meyer Andersen , Søren Højsgaard

When considering a sequent-style proof system for quantum programs, there are certain elements of quantum mechanics that we may wish to capture, such as phase, dynamics of unitary transformations, and measurement probabilities. Traditional…

Logic in Computer Science · Computer Science 2016-06-23 Cameron Beebe

We survey the notion and history of error-correcting codes and the algorithms needed to make them effective in information transmission. We then give some basic as well as more modern constructions of, and algorithms for, error-correcting…

Information Theory · Computer Science 2025-12-18 Madhu Sudan

In the design process of the analog circuit pre-layout phase, device sizing is an important step in determining whether an analog circuit can meet the required performance metrics. Many existing techniques extract the circuit sizing task as…

Artificial Intelligence · Computer Science 2025-06-24 Chengjie Liu , Weiyu Chen , Huiyao Xu , Yuan Du , Jun Yang , Li Du