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The fundamental lower bounds of the thermodynamic energy cost (work) needed for the measurement and the erasure of information are found. The lower bound for the erasure vindicates the "Landauer's principle" for a special case, but…

Quantum Physics · Physics 2015-05-13 Takahiro Sagawa , Masahito Ueda

We measured the energy efficiency of information erasure using silicon DRAM cells capable of counting charges on capacitors at the single-electron level. Our measurements revealed that the efficiency decreased as the erasure error…

Statistical Mechanics · Physics 2026-04-01 Takase Shimizu , Kensaku Chida , Gento Yamahata , Katsuhiko Nishiguchi

While Landauer's Principle sets a lower bound for the work required for a computation, that work is recoverable for efficient computations. However, practical physical computers, such as modern digital computers or biochemical systems, are…

Statistical Mechanics · Physics 2021-04-27 Alexander B. Boyd , Paul M. Riechers , Gregory W. Wimsatt , James P. Crutchfield , Mile Gu

Hardware neural networks that implement synaptic weights with embedded non-volatile memory, such as spin torque memory (ST-MRAM), are a major lead for low energy artificial intelligence. In this work, we propose an approximate storage…

Emerging Technologies · Computer Science 2018-10-26 Nicolas Locatelli , Adrien F. Vincent , Damien Querlioz

Landauer's Principle states that the energy cost of information processing must exceed the product of the temperature and the change in Shannon entropy of the information-bearing degrees of freedom. However, this lower bound is achievable…

Statistical Mechanics · Physics 2019-01-01 A. B. Boyd , A. Patra , C. Jarzynski , J. P. Crutchfield

Virtually every organism gathers information about its noisy environment and builds models from that data, mostly using neural networks. Here, we use stochastic thermodynamics to analyse the learning of a classification rule by a neural…

Statistical Mechanics · Physics 2017-01-31 Sebastian Goldt , Udo Seifert

In the paradigm of thermodynamic computing, instead of behaving deterministically, hardware undergoes a stochastic process in order to sample from a distribution of interest. While it has been hypothesized that thermodynamic computers may…

Using a thermodynamically consistent, mesoscopic model for modern complementary metal-oxide-semiconductor transistors, we study an array of logical circuits and explore how their function is constrained by recent thermodynamic uncertainty…

Statistical Mechanics · Physics 2025-03-28 Phillip Helms , Songela W. Chen , David T. Limmer

Dense Associative Memory networks (DenseAMs) unify several popular paradigms in Artificial Intelligence (AI), such as Hopfield Networks, transformers, and diffusion models, while casting their computational properties into the language of…

Statistical Mechanics · Physics 2026-04-07 Spencer Rooke , Dmitry Krotov , Vijay Balasubramanian , David Wolpert

Thermodynamic trade-off relations dictate fundamental limits on the performance of thermodynamic tasks through costs such as heat dissipation. Here, we propose a framework called thermodynamic recycling to circumvent these limits in quantum…

Quantum Physics · Physics 2026-04-28 Nobumasa Ishida , Yoshihiko Hasegawa

In this article, we focus on erasure of a bit of information in finite time. Landauer's principle states that the average heat dissipation due to erasure of information is k_B T ln 2, which is achievable only in an asymptotic manner. Recent…

Statistical Mechanics · Physics 2018-09-26 James Melbourne , Saurav Talukdar , Murti Salapaka

We apply evolutionary reinforcement learning to a simulation model in order to identify efficient time-dependent erasure protocols for a physical realization of a one-bit memory by an underdamped mechanical cantilever. We show that these…

Statistical Mechanics · Physics 2025-05-13 Nicolas Barros , Stephen Whitelam , Sergio Ciliberto , Ludovic Bellon

The construction of models from data is a significant contributor to the energetic costs of computation. Because of this, understanding how foundational thermodynamic bounds apply to modeling algorithms will be increasingly important. Here,…

Statistical Mechanics · Physics 2026-05-20 Samuel H. D'Ambrosia , Sultan M. Daniels , Michael R. DeWeese , Anant Sahai

Landauer's erasure principle states that the irreversible erasure of a one-bit memory, embedded in a thermal environment, is accompanied with a work input of at least $k_{\text{B}}T\ln2$. Fundamental to that principle is the assumption that…

Statistical Mechanics · Physics 2019-01-31 Jan Klaers

In 1961, R. Landauer proposed the principle that logical irreversibility is associated with physical irreversibility and further theorized that the erasure of information is fundamentally a dissipative process. Landauer posited that a…

Mesoscale and Nanoscale Physics · Physics 2014-11-26 J. Hong , B. Lambson , S. Dhuey , J. Bokor

Investigating principles for storage of quantum information at finite temperature with minimal need for active error correction is an active area of research. We bear upon this question in two-dimensional holographic conformal field…

High Energy Physics - Theory · Physics 2022-11-04 Avik Banerjee , Tanay Kibe , Nehal Mittal , Ayan Mukhopadhyay , Pratik Roy

The clean world of digital information is based on noisy physical devices. Landauer's principle provides a deep connection between information processing and the underlying thermodynamics by setting a lower limit on the energy consumption…

In-memory deep learning computes neural network models where they are stored, thus avoiding long distance communication between memory and computation units, resulting in considerable savings in energy and time. In-memory deep learning has…

Machine Learning · Computer Science 2021-12-02 Zhehui Wang , Tao Luo , Rick Siow Mong Goh , Wei Zhang , Weng-Fai Wong

We consider the technologically relevant costs of operating a reliable bit that can be erased rapidly. We find that both erasing and reliability times are non-monotonic in the underlying friction, leading to a trade-off between erasing…

Statistical Mechanics · Physics 2017-07-21 Abhishek Deshpande , Manoj Gopalkrishnan , Thomas E. Ouldridge , Nick S. Jones

It is now well established that there is no lower bound for the energy dissipated during a computation. The relevance of the zero-energy limit is unclear, however, because it entails computations that are unreliable or infinitely slow, or…

Statistical Mechanics · Physics 2018-02-21 Dominique Chu