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The Szilard engine (SZE) is the quintessence of Maxwell's demon, which can extract the work from a heat bath by utilizing information. We present the first complete quantum analysis of the SZE, and derive an analytic expression of the…

Quantum Physics · Physics 2011-02-23 Sang Wook Kim , Takahiro Sagawa , Simone De Liberato , Masahito Ueda

Physical systems are often simulated using a stochastic computation where different final states result from identical initial states. Here, we derive the minimum energy cost of simulating a complex data set of a general physical system…

Data Analysis, Statistics and Probability · Physics 2015-05-30 Karoline Wiesner , Mile Gu , Elisabeth Rieper , Vlatko Vedral

We introduce a family of Generalized Continuous Maxwell Demons (GCMDs) operating on idealized single-bit equilibrium devices that combine the single-measurement Szilard and the repeated measurements of the Continuous Maxwell Demon…

Statistical Mechanics · Physics 2023-03-22 Juan P. Garrahan , Felix Ritort

Maxwell's demon elucidates the value of information in thermodynamics, using measurement and feedback: he evolves an equilibrated gas into a nonequilibrium state, from which one might extract work. The demon can evolve the system farther…

In most real-world reinforcement learning applications, state information is only partially observable, which breaks the Markov decision process assumption and leads to inferior performance for algorithms that conflate observations with…

Machine Learning · Computer Science 2024-06-12 Hongming Zhang , Tongzheng Ren , Chenjun Xiao , Dale Schuurmans , Bo Dai

Feedback can be utilized to convert information into useful work, making it an effective tool for increasing the performance of thermodynamic engines. Using feedback reversibility as a guiding principle, we devise a method for designing…

Statistical Mechanics · Physics 2015-06-03 Jordan M. Horowitz , Juan M. R. Parrondo

We introduce a deterministic chaotic system---the Szilard Map---that encapsulates the measurement, control, and erasure protocol by which Maxwellian Demons extract work from a heat reservoir. Implementing the Demon's control function in a…

Statistical Mechanics · Physics 2016-05-18 Alexander B. Boyd , James P. Crutchfield

The past century has seen a steady increase in the need of estimating and predicting complex systems and making (possibly critical) decisions with limited information. Although computers have made possible the numerical evaluation of…

Statistics Theory · Mathematics 2017-01-13 Houman Owhadi , Clint Scovel

Maxwell's demon is a famous thought experiment and a paradigm of the thermodynamics of information. It is related to Szilard's engine, a two-state information-to-work conversion device in which the demon performs single measurements and…

Statistical Mechanics · Physics 2023-05-11 Paul Raux , Felix Ritort

In 1929, Leo Szilard invented a feedback protocol in which a hypothetical intelligence called Maxwell's demon pumps heat from an isothermal environment and transduces it to work. After an intense controversy that lasted over eighty years;…

Statistical Mechanics · Physics 2012-02-21 Shoichi Toyabe , Takahiro Sagawa , Masahito Ueda , Eiro Muneyuki , Masaki Sano

In this paper two connected Szilard single molecule engines (with different temperature) model of Maxwell's demon are used to demonstrate and analysis the logical compare operation. The logical and physical complexity of compare operations…

Data Analysis, Statistics and Probability · Physics 2014-08-06 Feng Pan , Heng-Liang Zhang , Jie Qi

Despite significant recent progress, machine vision systems lag considerably behind their biological counterparts in performance, scalability, and robustness. A distinctive hallmark of the brain is its ability to automatically discover and…

Computer Vision and Pattern Recognition · Computer Science 2019-10-14 Lichao Chen , Sudhir Singh , Thomas Kailath , Vwani Roychowdhury

To solve multi-step manipulation tasks in the real world, an autonomous robot must take actions to observe its environment and react to unexpected observations. This may require opening a drawer to observe its contents or moving an object…

Decisions in organizations are about evaluating alternatives and choosing the one that would best serve organizational goals. To the extent that the evaluation of alternatives could be formulated as a predictive task with appropriate…

Human-Computer Interaction · Computer Science 2022-06-30 Charles Wan , Rodrigo Belo , Leid Zejnilović

A Maxwell's demon is a device that gets information and trades it in for thermodynamic advantage, in apparent (but not actual) contradiction to the second law of thermodynamics. Quantum-mechanical versions of Maxwell's demon exhibit…

Quantum Physics · Physics 2009-10-30 Seth Lloyd

The fact that real dissipative (entropy producing) processes may be detected by non-comoving observers (tilted), in systems that appear to be isentropic for comoving observers, in general relativity, is explained in terms of the information…

General Relativity and Quantum Cosmology · Physics 2018-07-04 L. Herrera

Experimental data is often comprised of variables measured independently, at different sampling rates (non-uniform ${\Delta}$t between successive measurements); and at a specific time point only a subset of all variables may be sampled.…

Machine Learning · Computer Science 2023-05-01 Saurabh Malani , Tom S. Bertalan , Tianqi Cui , Jose L. Avalos , Michael Betenbaugh , Ioannis G. Kevrekidis

We analyze a quantum Maxwell demon operating a Szilard engine in free fall near a black hole horizon, where quantum information, thermodynamics, and spacetime causality intersect. The demon is modeled as a coherent two-level system, and the…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Hamed Hadi , Amin Rezaei Akbarieh , Goksel Daylan Esmer

The probabilistic information flow and natural computational capability of a system with two magnetic skyrmions at room temperature have been experimentally evaluated. Based on this evaluation, an all-solid-state built-in Maxwell's demon…

Mesoscale and Nanoscale Physics · Physics 2025-06-17 Yoshishige Suzuki , Hiroki Mori , Soma Miki , Kota Emoto , Ryo Ishikawa , Eiiti Tamura , Hikaru Nomura , Minori Goto

A monopolist seller of multiple goods screens a buyer whose type is initially unknown to both but drawn from a commonly known distribution. The buyer privately learns about his type via a signal. We derive the seller's optimal mechanism in…

Theoretical Economics · Economics 2021-05-27 Rahul Deb , Anne-Katrin Roesler