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The thermodynamical costs imposed by computational resource limitations like memory and time have been investigated before. We focus on a new computational limitation, namely, the machine being allowed to scan the input only once, and prove…

Information Theory · Computer Science 2023-04-25 Fırat Kıyak , A. C. Cem Say

In the Second Law of Thermodynamics which is a macroscopic physical law that states that in any isolated system, entropy can only increase and order, or organization, can only decrease. This means that in the long run, energy will always…

Classical Physics · Physics 2021-11-25 Srinivasa Rao. P

Szilard's now-famous single-molecule engine was only the first of three constructions he introduced in 1929 to resolve several paradoxes arising from Maxwell's demon. We analyze Szilard's remaining two demon models. We show that the second…

Statistical Mechanics · Physics 2020-03-24 Kyle J. Ray , James P. Crutchfield

The relation between entropy and information dates back to the classical Maxwell demon (MD) paradox, a thought experiment proposed in 1867 by J. C. Maxwell to violate the second law of thermodynamics. A variant of the classical MD is the…

Statistical Mechanics · Physics 2020-06-03 Marco Ribezzi-Crivellari , Felix Ritort

Leo Szilard pointed out that Maxwell's demon can be replaced by machinery, thereby laying the foundation for understanding the physical nature of information. Szilard's information engine still serves as a canonical example after almost a…

Statistical Mechanics · Physics 2022-08-31 Susanne Still , Dorian Daimer

In an asymmetric Szilard engine model of Maxwell's demon, we show the equivalence between information theoretical and thermodynamic entropies when the demon erases information optimally. The work gain by the engine can be exactly canceled…

Classical Physics · Physics 2011-12-13 Akio Hosoya , Koji Maruyama , Yutaka Shikano

The most succinct manifestation of the second law of thermodynamics is the limitation the Landauer principle imposes on the amount of heat a Maxwell demon (MD) can convert into free energy per single bit of information obtained in a…

Mesoscale and Nanoscale Physics · Physics 2015-01-29 J. V. Koski , V. F. Maisi , J. P. Pekola , D. V. Averin

Information engines model ``Maxwell's demon" mechanistically. However, the demon's strategy is pre-described by an external experimenter, and information engines are conveniently designed such that observables contain complete information…

Statistical Mechanics · Physics 2024-07-15 Dorian Daimer , Susanne Still

We present a complete-quantum description of multi-particle Szilard engine which consists of a working substance and a Maxwell's demon. The demon is modeled as a multi-level quantum system with specific quantum control and the working…

Quantum Physics · Physics 2012-03-20 C. Y. Cai , H. Dong , C. P. Sun

We propose a setup based on two coupled quantum dots where thermodynamics of a measurement can be quantitatively characterized. The information obtained in the measurement can be utilized by performing feedback in a manner apparently…

Statistical Mechanics · Physics 2016-04-06 Aki Kutvonen , Takahiro Sagawa , Tapio Ala-Nissilä

Recently, in a letter to Nature, del Rio et al.8 exploited the quantum viewpoint of the old but well-known thought experiment of Maxwell's demon, a tiny "man-machine" that processes only a single unit of information. In their work, they…

Information Theory · Computer Science 2013-01-21 Alexandre de Castro

We study the physical mechanism of Maxwell's Demon (MD) helping to do extra work in thermodynamic cycles, by describing measurement of position, insertion of wall and information erasing of MD in a quantum mechanical fashion. The heat…

Quantum Physics · Physics 2015-05-19 H. Dong , D. Z. Xu , C. P. Sun

The interplay between thermal machines and quantum correlations is of great interest in both quantum thermodynamics and quantum information science. Recently, a quantum Szil\'ard engine has been proposed, showing that the quantum…

Quantum Physics · Physics 2022-11-03 Feng-Jui Chan , Yi-Te Huang , Jhen-Dong Lin , Huan-Yu Ku , Jui-Sheng Chen , Hong-Bin Chen , Yueh-Nan Chen

We propose a new thermodynamic equality and several inequalities concerning the relationship between work and information for an isothermal process with Maxwell's demon. Our approach is based on the formulation a la Jarzynski of the…

Statistical Mechanics · Physics 2007-05-23 Takahiro Sagawa , Masahito Ueda

Computational complexity is a particularly important objective. The idea of Landauer principle was extended through mapping three classic problems (sorting,ordered searching and max of N unordered numbers) into Maxwell demon thought…

Computational Complexity · Computer Science 2014-12-04 Feng Pan , Heng-liang Zhang , Qi Jie

We propose and analyze a quantum version of Szilard's ``one-molecule engine.'' In particular, we recover, in the quantum context, Szilard's conclusion concerning the free energy ``cost'' of measurements: $\Delta F \geq k_B T\ln2$ per bit of…

Quantum Physics · Physics 2007-05-23 Wojciech Hubert Zurek

The Szil\'ard engine is a mechanism (akin to Maxwell's demon) for converting information into energy, which seemingly violates the second law of thermodynamics. Originally a classical thought experiment, it was extended to a quantized…

Quantum Physics · Physics 2022-08-29 Paul Davies , Logan Thomas , George Zahariade

In Szilard's engine, a demon measures a one-particle gas and applies feedback to extract work from thermal fluctuations, embodying Maxwell's notion that information reduces thermodynamic entropy - an apparent second-law violation. The…

Statistical Mechanics · Physics 2025-08-26 Xiangjun Xing

We address the question of verifying the quantumness of thermal machines. A Szil\'ard engine is truly quantum if its work output cannot be described by a local hidden state (LHS) model, i. e. an objective local statistical ensemble.…

Quantum Physics · Physics 2019-12-25 Konstantin Beyer , Kimmo Luoma , Walter T. Strunz

Following recent work by Marathe and Parrondo [PRL, 104, 245704 (2010)], we construct a classical Hamiltonian system whose energy is reduced during the adiabatic cycling of external parameters, when initial conditions are sampled…

Statistical Mechanics · Physics 2015-05-28 Suriyanarayanan Vaikuntanathan , Christopher Jarzynski
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