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According to quantum mechanics, the informational content of isolated systems does not change in time. However, subadditivity of entropy seems to describe an excess of information when we look at single parts of a composite systems and…

Quantum Physics · Physics 2019-11-12 Marco Roncaglia

A data classifier is the basic structural unit of an artificial neural network. These classifiers, known as perceptron, make an output prediction over the linear summation of the input information. Quantum versions of artificial neural…

Quantum Physics · Physics 2020-01-24 Ufuk Korkmaz , Deniz Türkpençe , Tahir Çetin Akıncı , Serhat Şeker

The Conservation of Energy plays a pivotal part in the development of the physical sciences. With the growth of computation and the study of other discrete token based systems such as the genome, it is useful to ask if there are…

Information Theory · Computer Science 2012-09-25 Les Hatton

I argue here that both the first and second laws of thermodynamics, generally understood to be quintessentially physical in nature, can be equally well described as being about certain types of information without the need to invoke…

Data Analysis, Statistics and Probability · Physics 2013-10-02 V. J. Vieland

We investigate unification of two systems of identical elements having different dimensions which may be of interest for both physics and economics. Characteristic parameters as well as explicit formulae for the temperature (in economics -…

Statistical Finance · Quantitative Finance 2015-10-06 I. A. Molotkov , A. I. Osin

We address the trade-off between information and disturbance in qubit thermometry from the perspective of quantum estimation theory. Given a quantum measurement, we quantify information via the Fisher information of the measurement and…

Quantum Physics · Physics 2018-04-16 Luigi Seveso , Matteo G. A. Paris

The sensitivity of entanglement to the thermal and squeezed reservoirs' parameters is investigated regarding entanglement decay and what is called sudden-death of entanglement, ESD, for a system of two qubit pairs. The dynamics of…

Quantum Physics · Physics 2015-05-13 Nasser Metwally

At low temperature a thermodynamic system undergoes a phase transition when a physical parameter passes through a singularity point of the free energy, corresponding to formation of a new order. At high temperature the thermal fluctuations…

Statistical Mechanics · Physics 2014-06-17 Bo-Bo Wei , Shao-Wen Chen , Hoi-Chun Po , Ren-Bao Liu

In the past decade several theoretical Maxwell's demon models have been proposed exhibiting effects such as refrigerating, doing work at the cost of information, and some experiments have been done to realise these effects. Here we propose…

Statistical Mechanics · Physics 2016-08-24 Peiyan Peng , Changkui Duan

We study a process of heat transfer between a body of heat capacity C(T) and a sequence of N heat reservoirs, with temperatures equally spaced between an initial temperature T_0 and a final temperature T_N. The body and the heat reservoirs…

Statistical Mechanics · Physics 2014-03-18 Jürgen F. Stilck , Rafael Mynssem Brum

We study thermalization within a quantum system with an enhanced capacity to store information. This system has been recently introduced to provide a prototype model of how a black hole processes and stores information. We perform a…

Quantum Physics · Physics 2025-04-03 Oleg Kaikov

The transfer of information between two physical locations is an essential component of both classical and quantum computing. In quantum computing the transfer of information must be coherent to preserve quantum states and hence the quantum…

Quantum Physics · Physics 2023-10-19 Dylan Lewis , João P. Moutinho , António Costa , Yasser Omar , Sougato Bose

The Landauer principle establishes a lower bound in the amount of energy that should be dissipated in the erasure of one bit of information. The specific value of this dissipated energy is tightly related to the definition of entropy. In…

General Relativity and Quantum Cosmology · Physics 2024-11-13 L. Herrera

A semiclassical analysis shows that in the process of black hole formation and evaporation, an initial pure state will evolve to a mixed state, i.e., information will be lost. One way of avoiding this conclusion without invoking drastic…

General Relativity and Quantum Cosmology · Physics 2019-09-30 Robert M. Wald

Argumentation provides a representation of arguments and attacks between these arguments. Argumentation can be used to represent a reasoning process over evidence to reach conclusions. Within such a reasoning process, understanding the…

Artificial Intelligence · Computer Science 2021-02-17 Todd Robinson

Information in the form of data, which can be stored and transferred between users, can be viewed as an intangible commodity, which can be traded in exchange for money. Determining the fair price at which a string of data should be traded…

Statistical Mechanics · Physics 2024-09-11 Luca Gamberi , Alessia Annibale , Pierpaolo Vivo

Landauer's bound is the minimum thermodynamic cost for erasing one bit of information. As this bound is achievable only for quasistatic processes, finite-time operation incurs additional energetic costs. We find a tight finite-time…

Statistical Mechanics · Physics 2022-10-05 Jae Sung Lee , Sangyun Lee , Hyukjoon Kwon , Hyunggyu Park

Quantum correlation, or entanglement, is now believed to be an indispensable physical resource for certain tasks in quantum information processing, for which classically correlated states cannot be useful. Besides information processing,…

Quantum Physics · Physics 2009-11-10 K. Maruyama , F. Morikoshi , V. Vedral

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…

In our former work [K. Tadaki, Local Proceedings of CiE 2008, pp.425-434, 2008], we developed a statistical mechanical interpretation of algorithmic information theory by introducing the notion of thermodynamic quantities at temperature T,…

Information Theory · Computer Science 2019-09-04 Kohtaro Tadaki