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The minimum heat cost of computation is subject to bounds arising from Landauer's principle. Here, I derive bounds on finite modelling -- the production or anticipation of patterns (time-series data) -- by devices that model the pattern in…

Statistical Mechanics · Physics 2021-06-21 Andrew J. P. Garner

This article assesses Landauer's principle from information theory in the context of area quantization of the Schwarzschild black hole. Within a quantum-mechanical perspective where Hawking evaporation can be interpreted in terms of…

General Relativity and Quantum Cosmology · Physics 2024-10-07 Bijan Bagchi , Aritra Ghosh , Sauvik Sen

We give a general description of the system evolution under the interaction between qubit and quantum field theory up to the second order perturbation, which is also referred to as the simplified model of light-matter interaction. The…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Hao Xu

Transmitting energy and information are two essential aspects of nature. Recent findings suggest they are closely related, while a quantitative equivalence between them is still unknown. This thus motivates us to ask: Can information…

Quantum Physics · Physics 2025-02-07 Chung-Yun Hsieh

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…

Landauer's principle makes a strong connection between information theory and thermodynamics by stating that erasing a one-bit memory at temperature $T_0$ requires an average energy larger than $W_{LB}=k_BT_0 \ln2$, with $k_B$ Boltzmann's…

Statistical Mechanics · Physics 2024-01-12 Salambô Dago , Sergio Ciliberto , Ludovic Bellon

A lower bound of the reduced relative entropy is given by the use of a variational expression. The reduced Tsallis relative entropy is defined and some results are given. In particular, the convexity of the reduced Tsallis relative entropy…

Quantum Physics · Physics 2025-03-06 Shigeru Furuichi , Frank Hansen

This work concerns the loss of energy of a material system due to gravitational radiation in Einstein-aether theory-an alternative theory of gravity in which the metric couples to a dynamical, timelike, unit-norm vector field. Derived to…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Brendan Z. Foster

The energy cost of erasing a bit of information was fundamentally lower bounded by Landauer, in terms of the temperature of its environment: $W\geq k_\mathrm{B} T \ln 2$. However, in real electronic devices, the information-bearing system…

We show that information in quantum memory can be erased and recovered perfectly if it is necessary. That the final states of environment are completely determined by the initial states of the system allows that an easure operation can be…

Quantum Physics · Physics 2009-11-10 Qing-Yu Cai

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

In two recent papers, Maroney and Turgut separately and independently show generalisations of Landauer's erasure principle to indeterministic logical operations, as well as to logical states with variable energies and entropies. Here we…

Statistical Mechanics · Physics 2011-12-06 O. J. E. Maroney

We analyze Landauer's principle for repeated interaction systems consisting of a reference quantum system $\mathcal{S}$ in contact with an environment $\mathcal{E}$ which is a chain of independent quantum probes. The system $\mathcal{S}$…

Mathematical Physics · Physics 2019-01-29 Eric P. Hanson , Alain Joye , Yan Pautrat , Renaud Raquépas

According to Landauer's principle, erasing one bit of information incurs a minimum energy cost. Recently, Vaccaro and Barnett (VB) explored information erasure within the context of generalized Gibbs ensembles and demonstrated that for…

Quantum Physics · Physics 2017-02-15 Toshio Croucher , Salil Bedkihal , Joan A. Vaccaro

By using the maximum entropy principle with Tsallis entropy we obtain a fragment size distribution function which undergoes a transition to scaling. This distribution function reduces to those obtained by other authors using Shannon…

Soft Condensed Matter · Physics 2015-06-24 Oscar Sotolongo-Costa , Arezky H. Rodriguez , G. J. Rodgers

Thermodynamics and information have intricate interrelations. Often thermodynamics is considered to be the logical premise to justify that information is physical - through Landauer's principle -, thereby also linking information and…

Landauer's principle is applied to information in the universe. Once stars began forming, the increasing proportion of matter at high stellar temperatures compensated for the expanding universe to provide a near constant information energy…

Astrophysics · Physics 2015-05-13 Paul Gough

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

This paper investigates the implications from area quantization in Loop Quantum Gravity, particularly focusing on the application of the Landauer principle -- a fundamental thermodynamic concept establishing a connection between information…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Everton M. C. Abreu , Jorge Ananias Neto , Ronaldo Thibes

The information-thermodynamics link is revisited, going back to the analysis of Szilard's engine. It is argued that instead of equivalence rather complementarity of physical entropy and information theoretical one is a correct concept.…

Quantum Physics · Physics 2014-06-24 Robert Alicki
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