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We show that QM can be represented as a natural projection of a classical statistical model on the phase space $\Omega= H\times H,$ where $H$ is the real Hilbert space. Statistical states are given by Gaussian measures on $\Omega$ having…

量子物理 · 物理学 2007-05-23 Andrei Khrennikov

We celebrate this year hundred years of quantum mechanics but there is still no consensus regarding its interpretation and limitations. In this article we advocate the statistical contextual interpretation which is free of paradoxes. State…

量子物理 · 物理学 2026-01-06 Marian Kupczynski

Throughout quantum mechanics there is statistical balance, in the collective response of an ensemble of systems to differing measurement types. Statistical balance is a core feature of quantum mechanics, underlying quantum mechanical…

量子物理 · 物理学 2022-10-31 Brian Drummond

The possibility of performing simultaneous measurements in quantum mechanics is investigated in the context of the Curie-Weiss model for a projective measurement. Concretely, we consider a spin-$\frac{1}{2}$ system simultaneously…

量子物理 · 物理学 2017-06-01 Martí Perarnau-Llobet , Theo M. Nieuwenhuizen

One of the main quests in quantum metrology, and quantum parameter estimation in general, is to find out the highest achievable precision with given resources and design schemes that attain that precision. In this article we present a…

量子物理 · 物理学 2016-05-23 Haidong Yuan , Chi-Hang Fred Fung

The state of an open quantum system undergoing an adiabatic process evolves by following the instantaneous stationary state of its time-dependent generator. This observation allows one to characterize, for a generic adiabatic evolution, the…

统计力学 · 物理学 2024-01-23 Paulo J. Paulino , Igor Lesanovsky , Federico Carollo

It is proposed a possible new approach of quantum measurements (QMS), disconnected of the traditional interpretation of uncertainty relations and independent of any appeal to the strange idea of collapse (reduction) of wave functions. The…

量子物理 · 物理学 2007-05-23 S. Dumitru

As experiments continue to push the quantum-classical boundary using increasingly complex dynamical systems, the interpretation of experimental data becomes more and more challenging: when the observations are noisy, indirect, and limited,…

量子物理 · 物理学 2014-01-28 Mankei Tsang

It is shown that the statistical conception of quantum mechanics is dynamical but not probabilistic, i.e. the statistical description in quantum mechanics is founded on dynamics. A use of the probability theory, when it takes place, is…

量子物理 · 物理学 2007-05-23 Yuri A. Rylov

Statistical formulations of thermodynamic entropy, such as those by Boltzmann and Gibbs, were originally developed for classical systems and are well understood in that context. However, the foundational aspects of quantum statistical…

量子物理 · 物理学 2025-10-08 Smitarani Mishra , Shaon Sahoo

Quantum mechanics predicts the joint probability distributions of the outcomes of simultaneous measurements of commuting observables, but the current formulation lacks the operational definition of simultaneous measurements. In order to…

量子物理 · 物理学 2009-11-06 Masanao Ozawa

If we admit that quantum mechanics (QM) is universal theory, then QM should contain also some description of classical mechanical systems. The presented text contains description of two different ways how the mathematical description of…

数学物理 · 物理学 2020-07-28 Pavel Bóna

It is proposed to define "quantumness" of a system (micro or macroscopic, physical, biological, social, political) by starting with understanding that quantum mechanics is a statistical theory. It says us only about probability…

量子物理 · 物理学 2016-09-08 Andrei Khrennikov

Measurement-based quantum computation has emerged from the physics community as a new approach to quantum computation where the notion of measurement is the main driving force of computation. This is in contrast with the more traditional…

量子物理 · 物理学 2009-05-21 Vincent Danos , Elham Kashefi , Prakash Panangaden

We study the possibility of applying statistical mechanics to generally covariant quantum theories with a vanishing Hamiltonian. We show that (under certain appropiate conditions) this makes sense, in spite of the absence of a notion of…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Merced Montesinos , Carlo Rovelli

Quantum mechanics is usually presented starting from a series of postulates about the mathematical framework. In this work we show that those same postulates can be derived by assuming that measurements are discrete interactions: that is,…

量子物理 · 物理学 2008-01-08 Gabriele Carcassi

In any given experimental scenario, the rules of quantum theory provide statistical distributions that the observed outcomes are expected to follow. The set formed by all these distributions contains the imprint of quantum theory, capturing…

量子物理 · 物理学 2025-09-17 Victor Barizien , Jean-Daniel Bancal

We make use of the first-quantized wave-packet formulation of the full counting statistics to describe charge transport of noninteracting electrons in a mesoscopic device. We derive various expressions for the characteristic function…

介观与纳米尺度物理 · 物理学 2008-10-30 F. Hassler , M. V. Suslov , G. M. Graf , M. V. Lebedev , G. B. Lesovik , G. Blatter

In quantum information processing quantum operations are often processed alongside measurements which result in classical data. Due to the information gain of classical measurement outputs non-unitary dynamical processes can take place on…

We propose a system of equations to describe the interaction of a quasiclassical variable $X$ with a set of quantum variables $x$ that goes beyond the usual mean field approximation. The idea is to regard the quantum system as continuously…

量子物理 · 物理学 2009-10-30 L. Diosi , J. J. Halliwell