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The development of new superconducting circuits and the improvement of existing ones rely on the accurate modeling of spectral properties which are key to achieving the needed advances in qubit performance. Systematic circuit analysis at…

Quantum Physics · Physics 2023-02-07 Sai Pavan Chitta , Tianpu Zhao , Ziwen Huang , Ian Mondragon-Shem , Jens Koch

This work presents AEQUAM (Area Efficient QUAntum eMulation), a toolchain that enables faster and more accessible quantum circuit verification. It consists of a compiler that translates OpenQASM 2.0 into RISC-like instructions, Cython…

Quantum Physics · Physics 2025-07-28 Lorenzo Lagostina , Deborah Volpe , Maurizio Zamboni , Giovanna Turvani

The intriguing appeal of circuits lies in their modularity and ease of fabrication. Based on a toolbox of simple building blocks, circuits present a powerful framework for achieving new functionality by combining circuit elements into…

Superconductivity · Physics 2013-02-01 David G. Ferguson , A. A. Houck , Jens Koch

In this paper, we focus on solving a sequence of linear systems with an identical (or similar) coefficient matrix. For this type of problems, we investigate the subspace correction and deflation methods, which use an auxiliary matrix…

Numerical Analysis · Mathematics 2022-03-17 Takeshi Iwashita , Kota Ikehara , Takeshi Fukaya , Takeshi Mifune

Following our recent development of the paradigm for extending the classic concepts of circuit elements to the infrared and optical frequencies [N. Engheta, A. Salandrino, A. Alu, Phys. Rev. Lett. 95, 095504 (2005)], in this paper we…

Materials Science · Physics 2009-11-13 Alessandro Salandrino , Andrea Alu , Nader Engheta

The finite element method has become a preeminent simulation technique in electromagnetics. For problems involving anisotropic media and metamaterials, proper algorithms should be developed. It has been proved that discretizing in quadratic…

Mathematical Physics · Physics 2009-10-21 E. Cojocaru

For quantum computer circuits, it is proposed that they have, besides the presently used compact graphs, an expanded system of subgraphs, in line with the quantum mechanics superposition axiom. The representation of each process by these…

Quantum Physics · Physics 2013-10-02 Helio V. Fagundes

The high power RF system will be a significant budgetary driver for any future collider. An order-of-magnitude improvement in cost/capability is needed, and as a result, a robust R&D program in next-generation, economical RF sources is…

Accelerator Physics · Physics 2022-03-31 Brandon Weatherford , Emilio A. Nanni , Sami Tantawi

We propose a new numerical scheme designed for a wide class of structured population models based on the idea of operator splitting and particle approximations. This scheme is related to the Escalator Boxcar Train (EBT) method commonly used…

Analysis of PDEs · Mathematics 2013-06-10 J. A. Carrillo , P. Gwiazda , A. Ulikowska

The Randles circuit (including a parallel resistor and capacitor in series with another resistor) and its generalised topology have widely been employed in electrochemical energy storage systems such as batteries, fuel cells and…

Optimization and Control · Mathematics 2017-02-13 S. M. M. Alavi , A. Mahdi , S. J. Payne , D. A. Howey

In this work, we provide an overview of circuits for quantum computing. We introduce gates used in quantum computation and then present resource cost measurements used to evaluate circuits made from these gates. We then illustrate how the…

Quantum Physics · Physics 2022-08-26 Edgard Muñoz-Coreas , Himanshu Thapliyal

External electric circuits attached to radio-frequency plasma discharges are essential for the power transfer into the discharge and are, therefore, a key element for plasma operation. Many plasma simulations, however, simplify or even…

Plasma Physics · Physics 2019-05-22 Frederik Schmidt , Jan Trieschmann , Tobias Gergs , Thomas Mussenbrock

Making a reversible circuit fault-tolerant is much more difficult than classical circuit and there have been only a few works in the area of parity-preserving reversible logic design. Moreover, all of these designs are ad hoc, based on some…

Hardware Architecture · Computer Science 2013-08-06 Goutam Paul , Anupam Chattopadhyay , Chander Chandak

In order to realize a Quantum CPU some schemes for executing fundamental mathematical tasks are needed. In this paper we present some quantum circuits which, using elementary arithmetic operations, allow an approximated calculation of…

Quantum Physics · Physics 2007-05-23 G. Florio , D. Picca

The ever increasing demands placed upon machine performance have resulted in the need for more comprehensive particle accelerator modeling. Computer simulations are key to the success of particle accelerators. Many aspects of particle…

Quantum circuits are time dependent diagrams describing the process of quantum computation. Usually, a quantum algorithm must be mapped into a quantum circuit. Optimal synthesis of quantum circuits is intractable and heuristic methods must…

Quantum Physics · Physics 2008-02-27 D. Maslov , G. W. Dueck , D. M. Miller , C. Negrevergne

The analysis of RLC circuits is usually made by considering phasor transforms of sinusoidal signals (characterized by constant amplitude, period and phase) that allow the calculation of the AC steady state of RLC circuits by solving simple…

Classical Physics · Physics 2016-03-01 Hassan Mohamed Abdelalim Abdalla

Probabilistic Circuits (PCs) have emerged as an efficient framework for representing and learning complex probability distributions. Nevertheless, the existing body of research on PCs predominantly concentrates on data-driven parameter…

Machine Learning · Computer Science 2024-12-20 Athresh Karanam , Saurabh Mathur , Sahil Sidheekh , Sriraam Natarajan

Circuit analysis of any certain model behavior is a central task in mechanistic interpretability. We introduce our circuit discovery pipeline with Sparse Autoencoders (SAEs) and a variant called Transcoders. With these two modules inserted…

Machine Learning · Computer Science 2024-07-23 Xuyang Ge , Fukang Zhu , Wentao Shu , Junxuan Wang , Zhengfu He , Xipeng Qiu

This work investigates two physics-based models that simulate the non-linear partial differential algebraic equations describing an electric double layer supercapacitor. In one model the linear dependence between electrolyte concentration…

Systems and Control · Computer Science 2014-12-09 Ross Drummond , David A. Howey , Stephen R. Duncan
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