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Efficiently learning expectation values of unknown quantum states via classical shadows has become an important primitive in both theoretical and experimental aspects of quantum computation. Typically, classical shadow protocols involve…

量子物理 · 物理学 2026-05-08 Rebecca Chang , Maureen Krumtünger , Martin Larocca , Maxwell West

Within the framework of the hypothesis offered by authors about a complex-valued nature of physical quantities the stability of basic equations of the classical physics concerning complex-valued perturbations of parameters and boundary…

综合物理 · 物理学 2007-05-23 V. V. Lyahov , V. M. Nechshadim

It is argued that a realistic interpretation of quantum mechanics is possible and useful. Current interpretations, from Copenhagen to many worlds are critically revisited. The difficulties for intuitive models of quantum physics are pointed…

量子物理 · 物理学 2017-01-11 Emilio Santos

The basic idea of a microscopic understanding of Thermodynamics is to derive its main features from a microscopic probability distribution. In such a vein, we investigate the thermal statistics of quasi-probabilities's semi-classical…

统计力学 · 物理学 2016-09-20 F. Pennini , A. Plastino , M. C. Rocca

The classical statistics of turbulence are shown to be not specific to turbulence and can be derived from a solution for recurring unsteady state viscous flow. Care must be exercised in using them to make deductions about turbulence…

流体动力学 · 物理学 2010-01-14 Trinh Khanh Tuoc

Three problems stand in the way of deriving classical theories from quantum mechanics: those of realist interpretation, of classical properties and of quantum measurement. Recently, we have identified some tacit assumptions that lie at the…

量子物理 · 物理学 2015-06-03 Petr Hajicek

We investigate the transition from quantum to classical mechanics using a one-dimensional free particle model. In the classical analysis, we consider the initial positions and velocities of the particle drawn from Gaussian distributions.…

量子物理 · 物理学 2024-05-30 E. Aldo Arroyo

It is shown that all of the basic properties of the hydrogen atom can be consistently described in terms of classical electrodynamics instead of taking the electron to be a particle; we consider an electrically charged classical wave field,…

综合物理 · 物理学 2017-03-08 Sergey Rashkovskiy

Dispersion is a fundamental concept in statistics, yet standard approaches - especially via stochastic orders - face limitations in the discrete setting. In particular, the classical dispersive order, well-established for continuous…

统计方法学 · 统计学 2025-11-11 Andreas Eberl , Bernhard Klar , Alfonso Suárez-Llorens

A suitable unified statistical formulation of quantum and classical mechanics in a *-algebraic setting leads us to conclude that information itself is noncommutative in quantum mechanics. Specifically we refer here to an observer's…

量子物理 · 物理学 2018-07-02 Rocco Duvenhage

A critical examination of some basic conceptual issues in classical statistical mechanics is attempted, with a view to understanding the origins, structure and statuts of that discipline. Due attention is given to the interplay between…

统计力学 · 物理学 2015-06-24 Sergio B. Volchan

This note presents an attempt to provide a conceptual framework for variational formulations of classical physics. Variational principles of physics have all a common source in the {\it principle of virtual work} well known in statics of…

数学物理 · 物理学 2007-05-23 Wlodzimierz M. Tulczyjew

The problem of obtaining a realistic, relativistic description of a quantum system is discussed in the context of a simple (light-cone) lattice field theory. A natural stochastic model is proposed which, although non-local, is relativistic…

高能物理 - 理论 · 物理学 2016-09-06 T. M. Samols

A theory for stabilization of quantum resonances by a mechanism similar to one leading to classical resonances in nonlinear systems is presented. It explains recent surprising experimental results, obtained for cold Cesium atoms when driven…

混沌动力学 · 物理学 2009-11-07 Shmuel Fishman , Italo Guarneri , Laura Rebuzzini

The dynamical equation of quantum mechanics are rewritten in form of dynamical equations for the measurable, positive marginal distribution of the shifted, rotated and squeezed quadrature introduced in the so called "symplectic tomography".…

量子物理 · 物理学 2009-10-30 Stefano Mancini , Vladimir I. Man'ko , Paolo Tombesi

Concepts like `typicality' and the `eigenstate thermalization hypothesis' aim at explaining the apparent equilibration of quantum systems, possibly after a very long time. However, these concepts are not concerned with the specific way in…

量子物理 · 物理学 2018-12-12 Lars Knipschild , Jochen Gemmer

The conceptual setting of quantum mechanics is subject to an ongoing debate from its beginnings until now. The consequences of the apparent differences between quantum statistics and classical statistics range from the philosophical…

量子物理 · 物理学 2015-05-13 C. Wetterich

In the classical theory of electromagnetism, the permittivity and the permeability of free space are constants whose magnitudes do not seem to possess any deeper physical meaning. By replacing the free space of classical physics with the…

量子物理 · 物理学 2015-05-18 G. Leuchs , A. S. Villar , L. L. Sanchez-Soto

We study the statistical mechanics of classical and quantum systems in non-equilibrium steady states. Emphasis is placed on systems in strong thermal gradients. Various measures and functional forms of observables are presented. The quantum…

混沌动力学 · 物理学 2007-05-23 Dimitri Kusnezov , Eric Lutz , Kenichiro Aoki

Statistical classical mechanics and quantum mechanics are developed and well-known theories that represent a basis for modern physics. The two described theories are well known and have been well studied. As these theories contain numerous…

综合物理 · 物理学 2015-07-24 Oleg Kupervasser