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Can a micron sized sack of interacting molecules understand, and adapt to a constantly-fluctuating environment? Cellular life provides an existence proof in the affirmative, but the principles that allow for life's existence are far from…

Molecular Networks · Quantitative Biology 2022-05-16 William Poole , Thomas Ouldridge , Manoj Gopalkrishnan , Erik Winfree

Competitive on-line prediction (also known as universal prediction of individual sequences) is a strand of learning theory avoiding making any stochastic assumptions about the way the observations are generated. The predictor's goal is to…

Machine Learning · Computer Science 2007-05-23 Vladimir Vovk

Digital computers implement computations using circuits, as do many naturally occurring systems (e.g., gene regulatory networks). The topology of any such circuit restricts which variables may be physically coupled during the operation of a…

Statistical Mechanics · Physics 2023-07-26 David Hilton Wolpert , Artemy Kolchinsky

In this paper, we derive a number of inequalities which express power-efficiency trade-offs that hold generally for thermodynamic machines operating in non-equilibrium stationary states. One of these inequalities concerns the output power,…

Statistical Mechanics · Physics 2019-09-04 Hadrien Vroylandt , David Lacoste , Gatien Verley

Artificial chemistry simulations produce many intriguing emergent behaviors, but they are often difficult to steer or control. This paper proposes a method for steering the dynamics of a classic artificial chemistry model, known as AlChemy…

Formal Languages and Automata Theory · Computer Science 2025-09-05 Devansh Vimal , Cole Mathis , Westley Weimer , Stephanie Forrest

Accurate information processing is crucial both in technology and in nature. To achieve it, any information processing system needs an initial supply of resources away from thermal equilibrium. Here we establish a fundamental limit on the…

Quantum Physics · Physics 2022-12-14 Giulio Chiribella , Fei Meng , Renato Renner , Man-Hong Yung

The difficulty of simulating quantum systems, well-known to quantum chemists, prompted the idea of quantum computation. One can avoid the steep scaling associated with the exact simulation of increasingly large quantum systems on…

The ultimate limits of computation are not just logical, but physical. We investigate the physical resources -- time, energy, entropy, and free energy -- required to perform computational work. We apply the resulting measures of physical…

Quantum Physics · Physics 2025-06-23 Michele Reilly , Seth Lloyd

I give a quick overview of some of the theoretical background necessary for using modern non-equilibrium statistical physics to investigate the thermodynamics of computation. I first present some of the necessary concepts from information…

Statistical Mechanics · Physics 2019-06-20 David H. Wolpert

The dramatic increase in the efficiency of a quantum computer over a classical computer, raises a natural question asking, how much of this success could be attributed to its quantum nature and how much to its probabilistic content. To…

Statistical Mechanics · Physics 2007-05-23 Anjan Kundu

We introduce a framework designed to analyze the thermodynamics of an abstractly defined logical computer like a deterministic finite automaton (DFA) or a Turing machine, without specifying any extraneous parameters (like rate matrices,…

Statistical Mechanics · Physics 2022-12-29 Gülce Kardeş , David Wolpert

Numerous reports claim that quantum advantage, which should emerge as a direct consequence of the advent of quantum computers, will herald a new era of chemical research because it will enable scientists to perform the kinds of quantum…

Quantum Physics · Physics 2020-09-29 V. E. Elfving , B. W. Broer , M. Webber , J. Gavartin , M. D. Halls , K. P. Lorton , A. Bochevarov

I consider motivation and value-alignment in AI systems from the perspective of (constrained) entropy maximization. Though the structures encoding knowledge in any physical system can be understood as energetic constraints, only living…

Neurons and Cognition · Quantitative Biology 2025-08-29 Alex B. Kiefer

Bio-digital systems that merge microbial life with technology promise new modes of computation, combining biological adaptability with digital precision. Yet realizing this potential symbiotically -- where biological and digital agents…

Human-Computer Interaction · Computer Science 2026-01-23 Zoë Breed , Elvin Karana , Alessandro Bozzon , Katherine W. Song

The capacity to predict and control bioprocesses is perhaps one of the most important objectives of biotechnology. Computational simulation is an established methodology for the design and optimization of bioprocesses, where the finite…

Computational Engineering, Finance, and Science · Computer Science 2015-08-12 R. C. Martins , N. Fachada

The out-of-equilibrium character of active systems is often twofold, arising from both the activity itself and from non-reciprocal couplings between constituents. A well-established measure to quantify the system's distance from equilibrium…

Statistical Mechanics · Physics 2026-02-13 Kim L. Kreienkamp , Sabine H. L. Klapp

Conventional computing has many sources of heat dissipation, but one of these--the Landauer limit--poses a fundamental lower bound of 1 bit of entropy per bit erased. 'Reversible Computing' avoids this source of dissipation, but is…

Quantum Physics · Physics 2022-10-25 Hannah Earley

The solution space of genome-scale models of cellular metabolism provides a map between physically viable flux configurations and cellular metabolic phenotypes described, at the most basic level, by the corresponding growth rates. By…

Molecular Networks · Quantitative Biology 2016-05-30 Daniele De Martino , Fabrizio Capuani , Andrea De Martino

Electrochemical interfaces are of fundamental importance in electrocatalysis, batteries, and metal corrosion. Finite-field methods are one of most reliable approaches for modeling electrochemical interfaces in complete cells under realistic…

Chemical Physics · Physics 2025-06-13 Chaoqiang Feng , Bin Jiang
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