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Related papers: Optimal control of bit erasure in stochastic rando…

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We study a finite-time cyclic copy protocol that creates persisting correlations between a memory and a data bit. The average work to copy the two states of the data bit consists of the mutual information created between the memory and data…

Statistical Mechanics · Physics 2025-04-09 Daan Mulder , Pieter Rein ten Wolde , Thomas E. Ouldridge

It is generally accepted, following Landauer and Bennett, that the process of measurement involves no minimum entropy cost, but the erasure of information in resetting the memory register of a computer to zero requires dissipating heat into…

Quantum Physics · Physics 2007-05-23 J. Bub

Landauer's principle states that erasing a bit of information at fixed temperature T costs at least kT ln 2 units of work. Here we investigate erasure at varying temperature, to which Landauer's result does not apply. We formulate bit…

Statistical Mechanics · Physics 2023-12-29 Stephen Whitelam

While externally driven information engines are well understood, the thermodynamic constraints of their autonomous counterparts remain an open question. Here, we investigate the finite-time operation of an autonomous machine functioning as…

Quantum Physics · Physics 2026-04-20 Wanyan Chen , Miao Chen , Yu-Han Ma

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

We present a rigorous approach, based on the concept of continuous thermomajorisation, to algorithmically characterise the full set of energy occupations of a quantum system accessible from a given initial state through weak interactions…

Quantum Physics · Physics 2022-08-08 Kamil Korzekwa , Matteo Lostaglio

Landauer argued that the process of erasing the information stored in a memory device incurs an energy cost in the form of a minimum amount of mechanical work. We find, however, that this energy cost can be reduced to zero by paying a cost…

Quantum Physics · Physics 2011-06-02 Joan A. Vaccaro , Stephen M. Barnett

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

Turing Machines (TMs) are the canonical model of computation in computer science and physics. We combine techniques from algorithmic information theory and stochastic thermodynamics to analyze the thermodynamic costs of TMs. We consider two…

Statistical Mechanics · Physics 2023-08-06 Artemy Kolchinsky , David H. Wolpert

We study the thermodynamics of a Brownian particle under the influence of a time multiplexed harmonic potential of finite width. The memory storage mechanism and the erasure protocol realized by time multiplexed potentials are utilized to…

Statistical Mechanics · Physics 2017-06-28 Saurav Talukdar , Shreyas Bhaban , Murti V. Salapaka

The focus of this paper is to understand storage costs of emulating an atomic shared memory over an asynchronous, distributed message passing system. Previous literature has developed several shared memory emulation algorithms based on…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-26 Viveck R. Cadambe , Zhiying Wang , Nancy Lynch

In this paper, we consider a residential heating system with renewable and non-renewable heat generation and different consumption units and investigate a stochastic optimal control problem for its cost-optimal management. As a special…

Optimization and Control · Mathematics 2025-03-04 Paul Honore Takam , Ralf Wunderlich

Landauer's limit on heat dissipation during information erasure is critical as devices shrink, requiring optimal pure-state preparation to minimise errors. However, Nernst's third law states this demands infinite resources in energy, time,…

In thermal environments, information processing requires thermodynamic costs determined by the second law of thermodynamics. Information processing within finite time is particularly important, since fast information processing has…

Statistical Mechanics · Physics 2024-11-14 Takuya Kamijima , Ken Funo , Takahiro Sagawa

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

In practice, qubit reset must be operated in an extremely short time, which incurs a thermodynamic cost within multiple orders of magnitude above the Landauer bound. We present a general framework to determine the minimal thermodynamic cost…

Statistical Mechanics · Physics 2025-03-13 Yue Liu , Chenlong Huang , Xingyu Zhang , Dahai He

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

Deeply embedded systems often have the tightest constraints on energy consumption, requiring that they consume tiny amounts of current and run on batteries for years. However, they typically execute code directly from flash, instead of the…

Other Computer Science · Computer Science 2021-04-13 James Pallister , Kerstin Eder , Simon Hollis

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…

A Brownian particle in a symmetric double well potential is used as a representation for a single bit memory, where, the location of the particle in either well denotes one of the two states of a single bit memory. This article analyzes the…

Statistical Mechanics · Physics 2018-04-06 Saurav Talukdar , Shreyas Bhaban , James Melbourne , Murti V. Salapaka