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Since reversible computing requires preservation of all information throughout the entire computational process, this implies that all errors that appear as a result of the interaction of the information-carrying system with uncontrolled…

Quantum Physics · Physics 2009-11-13 Lev B. Levitin , Tommaso Toffoli

Deep Learning has enabled many advances in machine learning applications in the last few years. However, since current Deep Learning algorithms require much energy for computations, there are growing concerns about the associated…

Machine Learning · Computer Science 2023-03-06 Vanessa Mehlin , Sigurd Schacht , Carsten Lanquillon

This paper concludes a three-Part series on the limits the laws of physics place on the sustained performance of reversible computers. Part I concerned aggregate performance in terms of computational operations per unit time, but neglected…

Statistical Mechanics · Physics 2021-12-02 Hannah Earley

One of the fundamental steps toward understanding a complex system is identifying variation at the scale of the system's components that is most relevant to behavior on a macroscopic scale. Mutual information provides a natural means of…

Machine Learning · Computer Science 2024-03-20 Kieran A. Murphy , Dani S. Bassett

We determine the minimum energy required to control the evolution of any mesoscopic quantum system in the presence of arbitrary Markovian noise processes. This result provides the mesoscopic equivalent of the fundamental cost of…

Quantum Physics · Physics 2016-07-08 Jordan Horowitz , Kurt Jacobs

We identify a hidden bottleneck in the information processing capacity of linear reservoir computers. When the measured features evolve linearly in the reservoir and the output is formed by linear readout with bias, we show that the…

Quantum Physics · Physics 2026-05-29 Johannes Nokkala , Federico Centrone , Francesco Arzani

Biomolecules stochastically occupy different possible configurations with probabilities given by non-equilibrium steady-state distributions. These distributions are determined by the transition rate constants between different…

Biological Physics · Physics 2024-07-19 Easun Arunachalam , Milo M. Lin

This paper outlines the benefits of computational steering for high performance computing applications. Lattice-Boltzmann mesoscale fluid simulations of binary and ternary amphiphilic fluids in two and three dimensions are used to…

Computational Physics · Physics 2016-09-08 J. Chin , J. Harting , S. Jha , P. V. Coveney , A. R. Porter , S. M. Pickles

Quantifying energy flows at nanometer scales promises to guide future research in a variety of disciplines, from microscopic control and manipulation, to autonomously operating molecular machines. A general understanding of the…

Statistical Mechanics · Physics 2018-11-26 Steven J. Large , Raphaël Chetrite , David A. Sivak

A network of driven nonlinear oscillators without dissipation has recently been proposed for solving combinatorial optimization problems via quantum adiabatic evolution through its bifurcation point. Here we investigate the behavior of the…

Quantum Physics · Physics 2018-06-08 Hayato Goto , Zhirong Lin , Yasunobu Nakamura

Mobile edge computing (MEC) is considered as an efficient method to relieve the computation burden of mobile devices. In order to reduce the energy consumption and time delay of mobile devices (MDs) in MEC, multiple users multiple input and…

Signal Processing · Electrical Eng. & Systems 2020-01-07 Changfeng Ding , Jun-Bo Wang , Ming Cheng , Chuanwen Chang , Jin-Yuan Wang , Min Lin

Quantifying the flow of energy within and through fluctuating nanoscale systems poses a significant challenge to understanding microscopic biological machines. A common approach involves coarse-graining, which allows a simplified…

Statistical Mechanics · Physics 2021-03-12 Steven J Large , David A Sivak

Thermodynamic cost of communication is a major factor in the thermodynamic cost of real-world computers, both biological and digital. Despite its importance, the fundamental principles underlying this cost remain poorly understood. This…

Statistical Mechanics · Physics 2025-12-29 Abhishek Yadav , David Wolpert

The artificial intelligence industry is not an isolated economic phenomenon; it is the current physical substrate for a broader, multi-billion-year process: the evolution of an abstract intelligence on Earth. As the scale of computation…

Physics and Society · Physics 2026-05-29 William Yicheng Zhu , Lei Zhu

Molecular machines transduce free energy between different forms throughout all living organisms. While truly machines in their own right, unlike their macroscopic counterparts molecular machines are characterized by stochastic…

Statistical Mechanics · Physics 2025-06-13 Matthew P. Leighton , David A. Sivak

The accelerated development of machine learning methods, primarily deep learning, are causal to the recent breakthroughs in medical image analysis and computer aided intervention. The resource consumption of deep learning models in terms of…

Machine Learning · Computer Science 2024-02-06 Raghavendra Selvan , Julian Schön , Erik B Dam

As it is getting increasingly difficult to achieve gains in the density and power efficiency of microelectronic computing devices because of lithographic techniques reaching fundamental physical limits, new approaches are required to…

Emerging Technologies · Computer Science 2017-07-05 Jean C. Coulombe , Mark C. A. York , Julien Sylvestre

We study optimization algorithms for the finite sum problems frequently arising in machine learning applications. First, we propose novel variants of stochastic gradient descent with a variance reduction property that enables linear…

Machine Learning · Computer Science 2017-07-06 Jakub Konečný

We study a two-level system controlled in a discrete feedback loop, modeling both the system and the controller in terms of stochastic Markov processes. We find that the extracted work, which is known to be bounded from above by the mutual…

Statistical Mechanics · Physics 2015-09-02 Jaegon Um , Haye Hinrichsen , Chulan Kwon , Hyunggyu Park

Informational contributions to thermodynamics can be studied in isolation by considering systems with fully-degenerate Hamiltonians. In this regime, being in non-equilibrium -- termed informational non-equilibrium -- provides thermodynamic…

Quantum Physics · Physics 2025-05-15 Chung-Yun Hsieh , Benjamin Stratton , Hao-Cheng Weng , Valerio Scarani