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Stochastic computing (SC) is an emerging computing technique that promises high density, low power, and error tolerant solutions. In SC, values are encoded as unary bitstreams and SC arithmetic circuits operate on one or more bitstreams. In…

Signal Processing · Electrical Eng. & Systems 2018-03-14 Vincent T. Lee , Armin Alaghi , Luis Ceze

Gate-layouts of spin qubit devices are commonly adapted from previous successful devices. As qubit numbers and the device complexity increase, modelling new device layouts and optimizing for yield and performance becomes necessary.…

Synthesis of reversible logic circuits has gained great atten- tion during the last decade. Various synthesis techniques have been pro- posed, some generate optimal solutions (in gate count) and are termed as exact, while others are…

Emerging Technologies · Computer Science 2017-02-27 Rajarshi Ray , Arup Deka , Kamalika Datta

We present the design of an analog circuit which solves linear programming (LP) problems. In particular, the steady-state circuit voltages are the components of the LP optimal solution. The paper shows how to construct the circuit and…

Optimization and Control · Mathematics 2013-05-07 Sergey Vichik , Francesco Borrelli

State-of-the-art quantum computers can only reliably execute circuits with limited qubit numbers and computational depth. This severely reduces the scope of algorithms that can be run. While numerous techniques have been invented to exploit…

Quantum Physics · Physics 2023-12-25 Adrián Pérez-Salinas , Radoica Draškić , Jordi Tura , Vedran Dunjko

We present a formulation of quantum circuit diagrams based on the exponential map which provides a new way to calculate graphically with circuits. We present a sound list of rewrite rules for this formulation and demonstrate a variety of…

Quantum Physics · Physics 2024-10-07 William Schober

A system of 'telegrapher's' equations for a number of long lines joined into a network is studied. Explicit formulas for Fourier transforms of current and voltage are derived. These formulas are very suitable for computer application as…

Classical Physics · Physics 2009-02-24 Nikolai Dokuchaev

In this note we develop quantum circuits for exactly simulating the thermal properties of the quantum XY/Ising chain. These circuits are applicable to the simplest integrable lattice models for which the exact momentum-space…

Quantum Physics · Physics 2019-03-21 Michael Park

We provide a simple framework for the synthesis of quantum circuits based on a numerical optimization algorithm. This algorithm is used in the context of the trapped-ions technology. We derive theoretical lower bounds for the number of…

Emerging Technologies · Computer Science 2020-04-17 Timothée Goubault de Brugière , Marc Baboulin , Benoît Valiron , Cyril Allouche

We contribute to the mathematical theory of the design of low temperature Ising machines, a type of experimental probabilistic computing device implementing the Ising model. Encoding the output of a function in the ground state of a…

Emerging Technologies · Computer Science 2025-07-18 Andrew G. Moore , Zachary Richey , Isaac K. Martin

For efficient hardware-accelerated simulations of quantum circuits, we can define hardware-specific quantum-circuit transformations. We use a functional programming approach to create a quantum-circuit analysis and transformation method…

Quantum Physics · Physics 2022-10-25 Youssef Moawad , Wim Vanderbauwhede , René Steijl

Optimal actuator and control design is studied as a multi-level optimisation problem, where the actuator design is evaluated based on the performance of the associated optimal closed loop. The evaluation of the optimal closed loop for a…

Optimization and Control · Mathematics 2024-02-13 Dante Kalise , Estefanía Loayza-Romero , Kirsten A. Morris , Zhengang Zhong

Recently, it is shown that quantum computers can be used for obtaining certain information about the solution of a linear system Ax=b exponentially faster than what is possible with classical computation. Here we first review some key…

Quantum Physics · Physics 2015-05-30 Yudong Cao , Anmer Daskin , Steven Frankel , Sabre Kais

In the context of studying periodic processes, this paper investigates first under which conditions switching affine systems in the plane generate stable limit cycles. Based on these conditions, a design methodology is proposed by which the…

Systems and Control · Electrical Eng. & Systems 2023-03-30 Nils Hanke , Olaf Stursberg

We suggest circuit realizations of emulators transforming memristive devices into effective floating memcapacitive and meminductive systems. The emulator's circuits are based on second generation current conveyors and involve either four…

Instrumentation and Detectors · Physics 2011-07-13 Yuriy V. Pershin , Massimiliano Di Ventra

Computer simulators are nowadays widely used to understand complex physical systems in many areas such as aerospace, renewable energy, climate modeling, and manufacturing. One fundamental issue in the study of computer simulators is known…

Methodology · Statistics 2019-02-05 Feng Yang , C. Devon Lin , Pritam Ranjan

In the last decades, great achievements have been made in the development of computing machines. However, due to exponential growth of transistor density and in particular due to tremendously increasing power consumption, researchers expect…

Emerging Technologies · Computer Science 2014-07-03 Piyush Gautam

Generators of arithmetic circuits can automatically deliver various implementations of arithmetic circuits that show different tradeoffs between the key circuit parameters (delay, area, power consumption). However, existing…

Hardware Architecture · Computer Science 2022-08-29 Jan Klhufek , Vojtech Mrazek

Recent advances in Transformers have come with a huge requirement on computing resources, highlighting the importance of developing efficient training techniques to make Transformer training faster, at lower cost, and to higher accuracy by…

Machine Learning · Computer Science 2023-05-05 Bohan Zhuang , Jing Liu , Zizheng Pan , Haoyu He , Yuetian Weng , Chunhua Shen

This paper is concerned with the synthesis of RC electrical circuits from physics-based supercapacitor models describing conservation and diffusion relationships. The proposed synthesis procedure uses model discretisation, linearisation,…

Systems and Control · Computer Science 2017-03-16 Ross Drummond , Shi Zhao , David A. Howey , Stephen R. Duncan