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Related papers: Optimal Computation from Fluctuation Responses

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When engineering microscopic machines, increasing efficiency can often come at a price of reduced reliability due to the impact of stochastic fluctuations. Here we develop a general method for performing multi-objective optimisation of…

Quantum Physics · Physics 2021-01-04 Harry J. D. Miller , Mohammad Mehboudi

We study the impact of work cost fluctuations on optimal protocols for the creation of correlations in quantum systems. We analyze several notions of work fluctuations to show that even in the simplest case of two free qubits, protocols…

Quantum Physics · Physics 2018-10-08 Emma McKay , Nayeli A. Rodriguez-Briones , Eduardo Martin-Martinez

The fluctuation-dissipation theorem is a fundamental result in statistical physics that establishes a connection between the response of a system subject to a perturbation and the fluctuations associated with observables in equilibrium.…

Quantum Physics · Physics 2022-08-03 Tanmoy Biswas , A. de Oliveira Junior , Michał Horodecki , Kamil Korzekwa

Performing thermodynamic tasks within finite time while minimizing thermodynamic costs is a central challenge in stochastic thermodynamics. Here, we develop a unified framework for optimizing the thermodynamic cost of performing various…

Statistical Mechanics · Physics 2025-09-16 Kaito Tojo , Rihito Nagase , Ken Funo , Takahiro Sagawa

An important result in classical stochastic thermodynamics is the work fluctuation--dissipation relation (FDR), which states that the dissipated work done along a slow process is proportional to the resulting work fluctuations. Here we show…

Quantum Physics · Physics 2019-12-11 Harry J. D. Miller , Matteo Scandi , Janet Anders , Martí Perarnau-Llobet

We present a number of novel algorithms, based on mathematical optimization formulations, in order to solve a homogeneous multiprocessor scheduling problem, while minimizing the total energy consumption. In particular, for a system with a…

Operating Systems · Computer Science 2015-11-13 Mason Thammawichai , Eric C. Kerrigan

We experimentally demonstrate that highly structured distributions of work emerge during even the simple task of erasing a single bit. These are signatures of a refined suite of time-reversal symmetries in distinct functional classes of…

Returning a system to a desired state under a force field involves a thermodynamic cost, i.e., {\it work}. This cost fluctuates for a small-scale system from one experimental realization to another. We introduce a general framework to…

Statistical Mechanics · Physics 2022-12-07 Deepak Gupta , Carlos A. Plata

Optimal control is a central problem in quantum thermodynamics. When minimizing dissipated work and work fluctuations defined via the two-point measurement scheme in open quantum systems, existing approaches largely focus on the rapid- and…

Quantum Physics · Physics 2026-04-08 Yuki Kurokawa , Yoshihiko Hasegawa

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

Stochastic thermodynamics as reviewed here systematically provides a framework for extending the notions of classical thermodynamics like work, heat and entropy production to the level of individual trajectories of well-defined…

Statistical Mechanics · Physics 2015-06-05 Udo Seifert

Energy costs of information processing are growing exponentially. Bit erasure is a key problem in this energy-information nexus, and a number of seminal relationships have been deduced regarding the relationship between thermodynamic costs…

Statistical Mechanics · Physics 2026-04-16 Songela W. Chen , David T. Limmer

Recently many results namely the Fluctuation theorems (FT), have been discovered for systems arbitrarily away from equilibrium. Many of these relations have been experimentally tested. The system under consideration is usually driven out of…

Statistical Mechanics · Physics 2019-10-02 Rahul Marathe , Sourabh Lahiri

Data is scaling exponentially in fields ranging from genomics to neuroscience to economics. A central question is: can modern machine learning methods be applied to construct predictive models of natural systems like cells and brains based…

Statistical Mechanics · Physics 2018-08-17 Audrey Huang , Benjamin Sheldan , David A. Sivak , Matt Thomson

The tradeoff relation between speed and cost is a central issue in designing fast and efficient information processing devices. We derive an achievable bound on thermodynamic cost for obtaining information through finite-time…

Statistical Mechanics · Physics 2024-05-16 Rihito Nagase , Takahiro Sagawa

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…

Brownian circuits perform computations using stochastic transitions driven by thermal fluctuations. While the energetic costs of such fluctuation-driven computation have been extensively studied within stochastic thermodynamics, much less…

Statistical Mechanics · Physics 2026-02-19 Kota Okajima , Koji Hukushima

Optimal Power Flow (OPF) is a core optimization problem in power system operation and planning, aiming to minimize generation costs while satisfying physical constraints such as power flow equations, generator limits, and voltage limits.…

Machine Learning · Computer Science 2025-12-02 Xuezhi Liu

Controlling thermodynamic cycles to minimize the dissipated heat is a longstanding goal in thermodynamics, and more recently, a central challenge in stochastic thermodynamics for nanoscale systems. Here, we introduce a theoretical and…

Statistical Mechanics · Physics 2023-03-15 Shriram Chennakesavalu , Grant M. Rotskoff

This thesis deals with the problematics of the scalability of fault-tolerant quantum computing. This question is studied under the angle of estimating the resources needed to set up such computers. What we call a resource is, in principle,…

Quantum Physics · Physics 2022-02-15 Marco Fellous-Asiani
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