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The dynamics of physical theories is usually described by differential equations. Difference equations then appear mainly as an approximation which can be used for a numerical analysis. As such, they have to fulfill certain conditions to…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Martin Bojowald , Ghanashyam Date

A generalized formal framework for decoherence, that can be used both in open and closed quantum systems, is sketched. In this context, the relationship between the decoherence of a closed system and the decoherence of its subsystems is…

Quantum Physics · Physics 2007-05-23 Mario Castagnino , Roberto Laura , Olimpia Lombardi

We show that it is possible to explain the quantum measurement process within the framework of quantum mechanics without any additional postulates. The key concept of the theory is decoherence, which appears as an inherent characteristic of…

General Physics · Physics 2019-11-01 Riuji Mochizuki

We analyze quantum interference and decoherence effects in single-molecule junctions both experimentally and theoretically by means of the mechanically controlled break junction technique and density-functional theory. We consider the case…

Mesoscale and Nanoscale Physics · Physics 2012-09-26 Stefan Ballmann , Rainer Härtle , Pedro B. Coto , Marcel Mayor , Mark Elbing , Martin R. Bryce , Michael Thoss , Heiko B. Weber

An alternative approach to decoherence, named non-dynamical decoherence is developed and used to resolve the quantum measurement problem. According to decoherence, the observed system is open to a macroscopic apparatus(together with a…

Quantum Physics · Physics 2015-04-08 Yu-Lei Feng , Yi-Xin Chen

Coherent superposition of electronic states, created by ionizing a molecule, can initiate ultrafast dynamics of the electron density. Correlation between nuclear and electron motions, however, typically dissipates the electronic coherence…

Quantum Physics · Physics 2025-08-15 Alan Scheidegger , Nikolay V. Golubev , Jiri J. L. Vanicek

The question of classicality is addressed in relation with the shape of the nuclear skeleton of molecular systems. As the most natural environment, the electrons of the molecule are considered as continuously monitoring agents for the…

Quantum Physics · Physics 2021-01-05 Edit Matyus , Patrick Cassam-Chenai

It is univocally anticipated that in a theory of quantum gravity, there exist quantum superpositions of semiclassical states of spacetime geometry. Such states could arise for example, from a source mass in a superposition of spatial…

General Relativity and Quantum Cosmology · Physics 2025-01-20 Joshua Foo , Robert B. Mann , Magdalena Zych

Decoherence in Nature has become one of the most pressing problems in physics. Many applications, including quantum information processing, depend on understanding it; and fundamental theories going beyond quantum mechanics have been…

Mesoscale and Nanoscale Physics · Physics 2011-07-27 S. Takahashi , I. S. Tupitsyn , J. van Tol , C. C. Beedle , D. N. Hendrickson , P. C. E. Stamp

The interaction between solid-state qubits and their environmental degrees of freedom produces non-unitary effects like decoherence and dissipation. Uncontrolled decoherence is one of the main obstacles that must be overcome in quantum…

Quantum Physics · Physics 2014-11-24 Paula I. Villar , Fernando C. Lombardo

Physical symmetries provide a strong inductive bias for constructing functions to analyze data. In particular, this bias may improve robustness, data efficiency, and interpretability of machine learning models. However, building machine…

High Energy Physics - Phenomenology · Physics 2025-11-05 Pradyun Hebbar , Thandikire Madula , Vinicius Mikuni , Benjamin Nachman , Nadav Outmezguine , Inbar Savoray

The behavior of any physical system is governed by its underlying dynamical equations. Much of physics is concerned with discovering these dynamical equations and understanding their consequences. In this work, we show that, remarkably,…

Quantum Physics · Physics 2015-05-18 Toby S. Cubitt , Jens Eisert , Michael M. Wolf

The quantum theory of decoherence plays an important role in a pragmatist interpretation of quantum theory. It governs the descriptive content of claims about values of physical magnitudes and offers advice on when to use quantum…

Quantum Physics · Physics 2012-07-30 Richard Healey

Choosing a specific way of dividing a closed system into parts is a starting point for the decoherence program and for the quantum thermalization program. It is shown that one can always chose such way of partitioning that…

Quantum Physics · Physics 2013-02-19 Oleg Lychkovskiy

We consider a toy model of pointer interacting with a 1/2-spin system, whose $\sigma_{x}$ variable is \emph{measured} by the environment, according to the prescription of decoherence theory. If the environment measuring the variable…

Statistical Mechanics · Physics 2015-06-24 Mauro Bologna , Paolo Grigolini , Marco G. Pala , Luigi Palatella

The dephasing influence of a dissipative environment reduces linear superpositions of macroscopically distinct quantum states (sometimes also called Schr\"odinger cat states) usually almost immediately to a statistical mixture. This process…

Quantum Physics · Physics 2009-10-31 Daniel Braun , Petr A. Braun , Fritz Haake

This paper is motivated by the suggestion [W. Zurek, Physica Scripta, T76, 186 (1998)] that the chaotic tumbling of the satellite Hyperion would become non-classical within 20 years, but for the effects of environmental decoherence. The…

Quantum Physics · Physics 2009-11-11 Nathan Wiebe , L. E. Ballentine

Standard semi-classical models of decoherence do not take explicit account of the classical information required to specify the system - environment boundary. I show that this information can be represented as a finite set of reference…

Quantum Physics · Physics 2019-02-05 Chris Fields

The notion that decoherence rapidly reduces a superposition state to an incoherent mixture implicitly adopts a special representation, namely, the representation of preferred (pointer) states (PS). For weak or strong system-environment…

Quantum Physics · Physics 2015-06-03 Wen-ge Wang , Lewei He , Jiangbin Gong

Binary classification is a common statistical learning problem in which a model is estimated on a set of covariates for some outcome indicating the membership of one of two classes. In the literature, there exists a distinction between hard…

Machine Learning · Statistics 2014-11-20 Patrick K. Kimes , D. Neil Hayes , J. S. Marron , Yufeng Liu
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