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Graphical (Linear) Algebra is a family of diagrammatic languages allowing to reason about different kinds of subsets of vector spaces compositionally. It has been used to model various application domains, from signal-flow graphs to Petri…

Logic in Computer Science · Computer Science 2021-11-09 Guillaume Boisseau , Robin Piedeleu

A brief characteristic of the specialized computer algebra system GRG_EC intended for symbolic computations in the field of general relativity is given.

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Tertychniy

It is an intriguing concept to use oscillators as fundamental building blocks of electronic computers. The idea is not new, but is currently subject to intense research as a part of the quest for 'beyond Moore' electronic devices. In this…

Emerging Technologies · Computer Science 2018-05-24 Gyorgy Csaba , Wolfgang Porod

In recent years, Reversible Logic is becoming more and more prominent technology having its applications in Low Power CMOS, Quantum Computing, Nanotechnology, and Optical Computing. Reversibility plays an important role when energy…

Performance · Computer Science 2010-10-01 H G Rangaraju , U. Venugopal , K N Muralidhara , K B Raja

With the exponentially faster computation for certain problems, quantum computing has garnered significant attention in recent years. Variational quantum algorithms are crucial methods to implement quantum computing, and an appropriate…

Quantum Physics · Physics 2025-11-18 Fei Zhang , Jie Li , Zhimin He , Haozhen Situ

Reversible logic is gaining interest of many researchers due to its low power dissipating characteristic. In this paper we proposed a new approach for designing online testable reversible circuits. The resultant testable reversible circuit…

Emerging Technologies · Computer Science 2013-12-31 Md. Selim Al Mamun , Pronab Kumar Mondal , Uzzal Kumar Prodhan

Analogical reasoning is a hallmark of human intelligence, enabling us to solve new problems by transferring knowledge from one situation to another. Yet, developing artificial intelligence systems capable of robust human-like analogical…

Machine Learning · Computer Science 2026-04-09 Philipp Hellwig , Willem Zuidema , Claire E. Stevenson , Martha Lewis

I describe a method for computer algebra that helps with laborious calculations typically encountered in theoretical microhydrodynamics. The program mimics how humans calculate by matching patterns and making replacements according to the…

Fluid Dynamics · Physics 2017-08-22 Jonas Einarsson

This short note proposes a symbolic approach for representing and reasoning about quantum circuits using complex, vector or matrix-valued Boolean expressions. A major benefit of this approach is that it allows us to directly borrow the…

Quantum Physics · Physics 2020-10-08 Mingsheng Ying , Zhengfeng Ji

Many people think of analog computing as a historic dead-end in computing. In fact, nothing could be further from the truth as analog computing - together with quantum computing - has the potential to bring computing to new levels with…

Emerging Technologies · Computer Science 2023-09-11 Bernd Ulmann

In recent decades, the field of quantum computing has experienced remarkable progress. This progress is marked by the superior performance of many quantum algorithms compared to their classical counterparts, with Shor's algorithm serving as…

Quantum Physics · Physics 2024-06-07 Siyi Wang , Xiufan Li , Wei Jie Bryan Lee , Suman Deb , Eugene Lim , Anupam Chattopadhyay

Despite recent advances, analog front-end design still relies heavily on expert intuition and iterative simulations, which limits the potential for automation. We present AnalogCoder-Pro, a multimodal large language model (LLM) framework…

Machine Learning · Computer Science 2025-09-03 Yao Lai , Souradip Poddar , Sungyoung Lee , Guojin Chen , Mengkang Hu , Bei Yu , Ping Luo , David Z. Pan

Edge audio devices can reduce data bandwidth requirements by pre-processing input speech on the device before transmission to the cloud. As edge devices are required to ensure always-on operation, their stringent power constraints pose…

Audio and Speech Processing · Electrical Eng. & Systems 2023-04-24 Kwantae Kim , Shih-Chii Liu

Analog and radio-frequency circuit design requires extensive exploration of both circuit topology and parameters to meet specific design criteria like power consumption and bandwidth. Designers must review state-of-the-art topology…

Hardware Architecture · Computer Science 2024-07-29 Asal Mehradfar , Xuzhe Zhao , Yue Niu , Sara Babakniya , Mahdi Alesheikh , Hamidreza Aghasi , Salman Avestimehr

We show the applicability of the Cartan decomposition of Lie algebras to quantum circuits. This approach can be used to synthesize circuits that can efficiently implement any desired unitary operation. Our method finds explicit quantum…

Computational studies of basic models of strongly-correlated electron systems can provide guidance in the search for new materials as well as insight into the physical mechanisms responsible for their properties. Here, we illustrate this by…

Strongly Correlated Electrons · Physics 2009-11-07 D. J. Scalapino

Representations of quantum computations are almost always based on a tensor product $\otimes$-structure. This coincides with what we are able to execute in our experiments, as well as what we observe in Nature, but it makes certain familiar…

Quantum Physics · Physics 2021-11-05 Luca Mondada

(1) Let 1\leq k\leq \omega. Call an atom structure \alpha weakly k neat representable, the term algebra is in \RCA_n\cap \Nr_n\CA_{n+k}, but the complex algebra is not representable. Call an atom structure neat if there is an atomic algebra…

Logic · Mathematics 2013-05-23 Tarek Sayed Ahmed

We develop a virtual analog model of the Klon Centaur guitar pedal circuit, comparing various circuit modelling techniques. The techniques analyzed include traditional modelling techniques such as nodal analysis and Wave Digital Filters, as…

Audio and Speech Processing · Electrical Eng. & Systems 2020-09-08 Jatin Chowdhury

We present a low barrier magnet based compact hardware unit for analog stochastic neurons and demonstrate its use as a building-block for neuromorphic hardware. By coupling circular magnetic tunnel junctions (MTJs) with a CMOS based analog…

Emerging Technologies · Computer Science 2021-05-25 Samiran Ganguly , Kerem Y. Camsari , Avik W. Ghosh