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How much free energy is irreversibly lost during a thermodynamic process? For deterministic protocols, lower bounds on energy dissipation arise from the thermodynamic friction associated with pushing a system out of equilibrium in finite…

Statistical Mechanics · Physics 2021-03-26 Samuel J. Bryant , Benjamin B. Machta

We introduce a thermodynamically consistent, minimal stochastic model for complementary logic gates built with field-effect transistors. We characterize the performance of such gates with tools from information theory and study the…

Statistical Mechanics · Physics 2021-08-25 Chloe Ya Gao , David T. Limmer

Optimal transport theory, originally developed in the 18th century for civil engineering, has since become a powerful optimization framework across disciplines, from generative AI to cell biology. In physics, it has recently been shown to…

Statistical Mechanics · Physics 2025-12-02 Shingo Oikawa , Yohei Nakayama , Sosuke Ito , Takahiro Sagawa , Shoichi Toyabe

Erasure of the binary memory, 0 or 1, is an essential step for digital computation involving irreversible logic operations. The erasure of a bit of a classical bit of memory is accompanied by the evolution of a minimum amount of heat set by…

Statistical Mechanics · Physics 2026-04-14 Vipul Rai , Moupriya Das

Framing computation as the transformation of metastable memories, we explore its fundamental thermodynamic limits. The true power of information follows from a novel decomposition of nonequilibrium free energy derived here, which provides a…

Statistical Mechanics · Physics 2018-08-13 Paul M. Riechers

Neuromorphic or neurally-inspired optimizers rely on local but parallel parameter updates to solve problems that range from quadratic programming to Ising machines. An ideal realization of such an optimizer not only uses a compute-in-memory…

Machine Learning · Computer Science 2026-03-31 Zihao Chen , Faiek Ahsan , Johannes Leugering , Gert Cauwenberghs , Shantanu Chakrabartty

Erasing memory is a fundamental operational task in quantum information processing, governed by Landauer's principle, which links information loss to thermodynamic work. We introduce and analyze assisted quantum erasure, where correlations…

Quantum Physics · Physics 2025-12-08 Mir Alimuddin , Nathan Shettell , Raja Yehia , Antonio Acín , Federico Centrone

We study thermodynamic processes in contact with a heat bath that may have an arbitrary time-varying periodic temperature profile. Within the framework of stochastic thermodynamics, and for models of thermo-dynamic engines in the idealized…

Optimization and Control · Mathematics 2022-04-06 Olga Movilla Miangolarra , Rui Fu , Amirhossein Taghvaei , Yongxin Chen , Tryphon T. Georgiou

We consider an overdamped nanoparticle in a driven double-well potential as a generic model of an erasable one-bit memory. We study in detail the statistics of the heat dissipated during an erasure process and show that full erasure may be…

Statistical Mechanics · Physics 2010-04-12 Raoul Dillenschneider , Eric Lutz

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

Information erasure inevitably leads to heat dissipation. Minimizing this dissipation will be crucial for developing small-scale information processing systems, but little is known about the optimal procedures required. We have obtained…

Statistical Mechanics · Physics 2015-06-17 Patrick R. Zulkowski , Michael R. DeWeese

The energy cost of computation has emerged as a central challenge at the intersection of physics and computer science. Recent advances in statistical physics -- particularly in stochastic thermodynamics -- enable precise characterizations…

Statistical Mechanics · Physics 2025-10-07 Jinghao Lyu , Kyle J. Ray , James P. Crutchfield

Physical systems driven away from equilibrium by an external controller dissipate heat to the environment; the excess entropy production in the thermal reservoir can be interpreted as a "cost" to transform the system in a finite time. The…

Statistical Mechanics · Physics 2024-12-31 Jérémie Klinger , Grant M. Rotskoff

Although we may be at the end of Moore's law, lowering chip power consumption is still the primary driving force for the designers. To enable low-power operation, we propose a resonant energy recovery static random access memory (SRAM). We…

Emerging Technologies · Computer Science 2020-10-06 Riadul Islam , Biprangshu Saha , Ignatius Bezzam

Modularity dissipation identifies how locally-implemented computation entails costs beyond those required by Landauer's bound on thermodynamic computing. We establish a general theorem for efficient local computation, giving the necessary…

Quantum Physics · Physics 2020-04-22 Samuel P. Loomis , James P. Crutchfield

We discuss and review several thermodynamic criteria that have been introduced to characterize the thermal stability of a self-correcting quantum memory. We first examine the use of symmetry-breaking fields in analyzing the properties of…

Quantum Physics · Physics 2015-05-13 Stefano Chesi , Daniel Loss , Sergey Bravyi , Barbara M. Terhal

We study driven finite quantum systems in contact with a thermal reservoir in the regime in which the system changes slowly in comparison to the equilibration time. The associated isothermal adiabatic theorem allows us to control the full…

Mathematical Physics · Physics 2016-09-22 Tristan Benoist , Martin Fraas , Vojkan Jaksic , Claude-Alain Pillet

Information is central to thermodynamics, providing the grounds to the formulation of the theory in powerful abstract statistical terms. One must not forget, however, that, as put by Landauer, {\it information is physical}. This means that…

Quantum Physics · Physics 2019-05-01 T. Croucher , J. Wright , A. R. R. Carvalho , S. M. Barnett , J. A. Vaccaro

We present an experiment in which a one-bit memory is constructed, using a system of a single colloidal particle trapped in a modulated double-well potential. We measure the amount of heat dissipated to erase a bit and we establish that in…

Statistical Mechanics · Physics 2019-09-06 Antoine Bérut , Artyom Petrosyan , Sergio Ciliberto

We develop an exact theory of coherence-selective stroboscopic resetting for quadratic open quantum systems within the single-particle density-matrix formalism. We focus on the survival of coherences and the associated thermodynamic cost at…

Quantum Physics · Physics 2026-04-21 Jishad Kumar , Achilleas Lazarides , Tapio Ala-Nissila