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The concept of input-independent computational time for chemistry-based analog computers was introduced in Anderson-Joshi (2025), where it was shown that arithmetic operations can be computed in a fixed time independent of the input values.…

Dynamical Systems · Mathematics 2026-04-15 David F. Anderson , Badal Joshi , Tung D. Nguyen

The complexity of cellular automata is traditionally measured by their computational capacity. However, it is difficult to choose a challenging set of computational tasks suitable for the parallel nature of such systems. We study the…

Neural and Evolutionary Computing · Computer Science 2021-08-03 Barbora Hudcová , Tomáš Mikolov

Chemical compound space (CCS), the set of all theoretically conceivable combinations of chemical elements and (meta-)stable geometries that make up matter, is colossal. The first principles based virtual sampling of this space, for example…

Chemical Physics · Physics 2021-06-23 Bing Huang , O. Anatole von Lilienfeld

The Turing completeness of continuous chemical reaction networks (CRNs) states that any computable real function can be computed by a continuous CRN on a finite set of molecular species, possibly restricted to elementary reactions, i.e.…

Molecular Networks · Quantitative Biology 2022-06-22 Mathieu Hemery , François Fages

Molecular circuits capable of autonomous learning could unlock novel applications in fields such as bioengineering and synthetic biology. To this end, existing chemical implementations of neural computing have mainly relied on emulating…

Machine Learning · Computer Science 2025-09-23 Rajiv Teja Nagipogu , John H. Reif

Simulating chemical reaction networks is often computationally demanding, in particular due to stiffness. We propose a novel simulation scheme where long runs are not simulated as a whole but assembled from shorter precomputed segments of…

Logic in Computer Science · Computer Science 2022-06-22 Martin Helfrich , Milan Češka , Jan Křetínský , Štefan Martiček

Chemputation reframes synthesis as the programmable execution of reaction code on a universally re-configurable hardware graph. Here we prove that a chemputer equipped with a finite, but extensible, set of reagents, catalysts and process…

Emerging Technologies · Computer Science 2025-07-22 Leroy Cronin , Sebastian Pagel , Abhishek Sharma

An alternative methodology to evaluate two-electron-repulsion integrals based on numerical approximation is proposed. Computational chemistry has branched into two major fields with methodologies based on quantum mechanics and classical…

Chemical Physics · Physics 2016-09-22 Pedro E. M. Lopes

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

Models invoking the chemical master equation are used in many areas of science, and, hence, their simulation is of interest to many researchers. The complexity of the problems at hand often requires considerable computational power, so a…

Biological Physics · Physics 2016-03-02 Fabian Spill , Philip K. Maini , Helen Byrne

Biological regulatory networks depend upon chemical interactions to process information. Engineering such molecular computing systems is a major challenge for synthetic biology and related fields. The chemical reaction network (CRN) model…

Emerging Technologies · Computer Science 2020-09-23 Cameron Chalk , Niels Kornerup , Wyatt Reeves , David Soloveichik

Computational chemistry allows researchers to experiment in sillico: by running a computer simulations of a biological or chemical processes of interest. Molecular dynamics with molecular mechanics model of interactions simulates N-body…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-03 Jana Pazúriková

The computational cost of exact methods for quantum simulation using classical computers grows exponentially with system size. As a consequence, these techniques can only be applied to small systems. By contrast, we demonstrate that quantum…

Quantum Physics · Physics 2008-12-17 Ivan Kassal , Stephen P. Jordan , Peter J. Love , Masoud Mohseni , Alán Aspuru-Guzik

Chemical reaction mechanisms are the foundation of how chemists evaluate reactivity and feasibility, yet current Computer-Assisted Synthesis Planning (CASP) systems operate without this mechanistic reasoning. We introduce a computational…

Machine Learning · Computer Science 2026-04-20 Théo A. Neukomm , Zlatko Jončev , Philippe Schwaller

In recent years, the modeling interest has increased significantly from the molecular level to the atomic and quantum scale. The field of computational chemistry plays a significant role in designing computational models for the operation…

Formal Languages and Automata Theory · Computer Science 2020-07-09 Amandeep Singh Bhatia , Shenggen Zheng

Computational techniques are required for narrowing down the vast space of possibilities to plausible prebiotic scenarios, since precise information on the molecular composition, the dominant reaction chemistry, and the conditions for that…

Molecular Networks · Quantitative Biology 2018-02-07 Jakob L. Andersen , Christoph Flamm , Daniel Merkle , Peter F. Stadler

Simulations of chemical dynamics are a powerful means for understanding chemistry. However, classical computers struggle to simulate many chemical processes, especially non-adiabatic ones, where the Born-Oppenheimer approximation breaks…

Current computers operate at enormous speeds of ~10^13 bits/s, but their principle of sequential logic operation has remained unchanged since the 1950s. Though our brain is much slower on a per-neuron base (~10^3 firings/s), it is capable…

Emerging Technologies · Computer Science 2015-05-30 Anirban Bandyopadhyay , Ranjit Pati , Satyajit Sahu , Ferdinand Peper , Daisuke Fujita

Chemical reaction networks, or CRNs, are known to stably compute semilinear Boolean-valued predicates and functions, provided that all reactions are irreversible. However, this property does not hold for wet-lab implementations, as all…

Computational Complexity · Computer Science 2026-04-17 Ravi Kini , David Doty

Modeling electronic systems is an important application for quantum computers. In the context of materials science, an important open problem is the computational description of chemical reactions on surfaces. In this work, we outline a…

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