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In the Minimum Description Length (MDL) principle, learning from the data is equivalent to an optimal coding problem. We show that the codes that achieve optimal compression in MDL are critical in a very precise sense. First, when they are…

Methodology · Statistics 2018-10-03 Ryan John Cubero , Matteo Marsili , Yasser Roudi

Gibbs-Boltzmann entropy leads to systems that have a strong dependence on initial conditions. In reality, most materials behave quite independently of initial conditions. Nonextensive entropy or Tsallis entropy leads to nonextensive…

Statistical Mechanics · Physics 2022-07-01 Saman Amiri , Mahdi Mirzaee , Mohammad Mazhari

According to the Maxwell demon paradigm, additional work can be extracted from a classical or quantum system by exploiting information obtained through measurements on a correlated ancillary system. In the quantum setting, the maximum work…

Quantum Physics · Physics 2025-12-03 K. H. Kua , Alessio Serafini , Marco G. Genoni

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

We study the entropy and information flow in a Maxwell demon device based on a single-electron transistor with controlled gate potentials. We construct the protocols for measuring the charge states and manipulating the gate voltages which…

Statistical Mechanics · Physics 2014-01-22 J. Bergli , Y. M. Galperin , N. B. Kopnin

Work can be extracted from a single heat bath if additional information is available. For the paradigmatic case of a Brownian particle in a harmonic potential, whose position has been measured with finite precision, we determine the optimal…

Statistical Mechanics · Physics 2011-03-24 D. Abreu , U. Seifert

An indefinite causal order, where the causes of events are not necessarily in past events, is predicted by the process matrix framework. A fundamental question is how these non-separable causal structures can be related to the thermodynamic…

Quantum Physics · Physics 2022-10-20 Gianluca Francica

We present a physical implementation of a Maxwell demon which consists of a conventional single electron transistor (SET) capacitively coupled to another quantum dot detecting its state. Altogether, the system is described by stochastic…

Statistical Mechanics · Physics 2013-02-01 Philipp Strasberg , Gernot Schaller , Tobias Brandes , Massimiliano Esposito

This is a review of the theory of quantum thermodynamic demons; these are quantum systems that look like they violate the laws of thermodynamics, in analogy with Maxwell's demon. It concentrates on autonomous demons that can be made using…

Mesoscale and Nanoscale Physics · Physics 2023-04-07 Robert S. Whitney

We analyze quantitatively the generation of a continuous beam of atoms by the periodic injection of individual packets in a guide, followed by their overlapping. We show that slowing the packets using a moving mirror before their…

Other Condensed Matter · Physics 2008-09-15 Gaël Reinaudi , David Guery-Odelin

We have investigated the recently proposed self-consistent theory of fluctuation - induced transport. In this framework the subsystem under study is coupled to two independent baths at different temperatures. In this non-equilibrium system…

Condensed Matter · Physics 2009-10-28 A. M. Jayannavar

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…

Inspired by the available examples of Microcanonical Szil\'ard Engines and by the original Szil\'ard Engine, we devise a system with two degrees of freedom whose ensemble average energy, starting with a microcanical ensemble, decreases…

Statistical Mechanics · Physics 2019-08-23 Artur Soriani , Marcus V. S. Bonança

Enhanced enzyme diffusion (EED), in which the diffusion coefficient of an enzyme transiently increases during catalysis, has been extensively reported experimentally. We numerically and analytically demonstrate that such enzymes can act as…

Biological Physics · Physics 2025-07-18 Shunsuke Ichii , Tetsuhiro S. Hatakeyama , Kunihiko Kaneko

We use continuous weak measurements of a driven superconducting qubit to experimentally study the information dynamics of a quantum Maxwell's demon. We show how information gained by a demon who can track single quantum trajectories of the…

Quantum Physics · Physics 2018-07-25 M. Naghiloo , J. J. Alonso , A. Romito , E. Lutz , K. W. Murch

We implement a Szilard engine using a 2-bit logical unit consisting of inductively coupled quantum flux parametrons (QFPs) -- Josephson-junction superconducting circuits with applications in both the classical and quantum information…

Statistical Mechanics · Physics 2024-09-10 Kuen Wai Tang , Kyle J. Ray , James P. Crutchfield

We present a thermodynamic analysis of a quantum engine that uses a single quantum particle as its working fluid, inspired by Szilard's classical single-particle engine. Our design is modeled after the classically-chaotic Szilard Map and…

Quantum Physics · Physics 2023-05-11 Srinivasa Rao. P

We study a quantum Szilard engine that is not powered by heat drawn from a thermal reservoir, but rather by projective measurements. The engine is constituted of a system $\mathcal{S}$, a weight $\mathcal{W}$, and a Maxwell demon…

Quantum Physics · Physics 2017-11-17 M. Hamed Mohammady , Janet Anders

While quantum measurement theories are built around density matrices and observables, the laws of thermodynamics are based on processes such as are used in heat engines and refrigerators. The study of quantum thermodynamics fuses these two…

Quantum Physics · Physics 2021-08-25 Xingrui Song , Mahdi Naghiloo , Kater Murch

This paper revisits the Maxwell Demon Problem. Representing the demon with a simple physical computer composed of a single memory element, we demonstrate that the average minimum entropy increase of the universe due to sorting of particles…

Classical Physics · Physics 2007-05-23 Roger D. Jones , Sven G. Redsun , Roger E. Frye