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We introduce the concept of {\em information compressibility}, $K_I$, which measures the relative change of number of available microstates of an open system in response to an energy variation. We then prove that at the time in which the…

统计力学 · 物理学 2009-11-13 M. Di Ventra , Y. Dubi

Investigating principles for storage of quantum information at finite temperature with minimal need for active error correction is an active area of research. We bear upon this question in two-dimensional holographic conformal field…

高能物理 - 理论 · 物理学 2022-11-04 Avik Banerjee , Tanay Kibe , Nehal Mittal , Ayan Mukhopadhyay , Pratik Roy

We review of the interface between (theoretical) physics and information for non-experts. The origin of information as related to the notion of entropy is described, first in the context of thermodynamics then in the context of statistical…

经典物理 · 物理学 2007-12-18 F. Alexander Bais , J. Doyne Farmer

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…

It is now well established that there is no lower bound for the energy dissipated during a computation. The relevance of the zero-energy limit is unclear, however, because it entails computations that are unreliable or infinitely slow, or…

统计力学 · 物理学 2018-02-21 Dominique Chu

It was found in [Phys.Lett.B 675 (2009) 98] that information is conserved in the process of black hole evaporation, by using the tunneling formulism and considering the correlations between emitted particles. In this Letter, we shall…

高能物理 - 理论 · 物理学 2014-11-18 Yi-Xin Chen , Kai-Nan Shao

We explore the connection between deep learning and information theory through the paradigm of diffusion models. A diffusion model converts noise into structured data by reinstating, imperfectly, information that is erased when data was…

机器学习 · 计算机科学 2025-11-04 Akhil Premkumar

Modern digital electronics support remarkably reliable computing, especially given the challenge of controlling nanoscale logical components that interact in fluctuating environments. However, we demonstrate that the high-reliability limit…

统计力学 · 物理学 2020-10-07 P. M. Riechers , A. B. Boyd , G. W. Wimsatt , J. P. Crutchfield

We show that the conservation and the non-additivity of the information, together with the additivity of the entropy make the entropy increase in an isolated system. The collapse of the entangled quantum state offers an example of the…

量子物理 · 物理学 2009-11-13 Qi-Ren Zhang

We establish that entropy production, which is crucial to the characterization of thermodynamic irreversibility, is obtained through a variational principle involving the Kulback-Leibler divergence. A simple application of this…

统计力学 · 物理学 2021-03-11 Naoto Shiraishi , Keiji Saito

We present an information-theoretic assessment of atomic and molecular densities in the ground state and under a range of physical scenarios--excitation, confinement, and ensemblization. Comparisons across densities obtained from…

化学物理 · 物理学 2026-05-21 Abdulrahman Y. Zamani , Kevin Carter-Fenk

Landauer's principle introduces a symmetry between computational and physical processes: erasure of information, a logically irreversible operation, must be underlain by an irreversible transformation dissipating energy. Monitoring micro-…

What is information? Is it physical? We argue that in a Bayesian theory the notion of information must be defined in terms of its effects on the beliefs of rational agents. Information is whatever constrains rational beliefs and therefore…

数据分析、统计与概率 · 物理学 2016-09-08 Ariel Caticha

A communication theory for a transmitter broadcasting to many receivers is presented. In this case energetic considerations cannot be neglected as in Shannon theory. It is shown that, when energy is assigned to the information bit,…

信息论 · 计算机科学 2007-07-16 Oded Kafri

Passive error correction protects logical information forever in the thermodynamic limit by updating the system based only on local information and few-body interactions. A paradigmatic example is the classical two-dimensional Ising model:…

量子物理 · 物理学 2025-10-08 Yifan Hong , Jinkang Guo , Andrew Lucas

The quantum model of the brain proposed by Ricciardi and Umezawa is extended to dissipative dynamics in order to study the problem of memory capacity. It is shown that infinitely many vacua are accessible to memory printing in a way that in…

量子物理 · 物理学 2015-06-26 Giuseppe Vitiello

The equivalence of 1 bit of information to entropy was given by Landauer in 1961 as kln2, k the Boltzmann constant. Erasing information implies heat dissipation and the energy of 1 bit would then be (the Landauers limit) kT ln 2, T being…

综合物理 · 物理学 2014-01-24 Antonio Alfonso-Faus

Measurements can detect errors in a decohered quantum memory allowing active error correction to increase the memory time. Previous understanding of this mechanism has focused on evaluating the performance of error correction algorithms…

量子物理 · 物理学 2024-07-11 Jacob Hauser , Yimu Bao , Shengqi Sang , Ali Lavasani , Utkarsh Agrawal , Matthew P. A. Fisher

Landauer's erasure principle states that the irreversible erasure of a one-bit memory, embedded in a thermal environment, is accompanied with a work input of at least $k_{\text{B}}T\ln2$. Fundamental to that principle is the assumption that…

统计力学 · 物理学 2019-01-31 Jan Klaers

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…

统计力学 · 物理学 2018-04-06 Saurav Talukdar , Shreyas Bhaban , James Melbourne , Murti V. Salapaka