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Although quantum computers are predicted to have many commercial applications, less attention has been given to their potential for resolving foundational issues in quantum mechanics. Here we focus on quantum computers' utility for the…

The theory of decoherent histories is checked for the requirement of statistical independence of subsystems. Strikingly, this is satisfied only when the decoherence functional is diagonal in both its real a n d imaginary parts. In…

量子物理 · 物理学 2009-11-10 Lajos Diosi

We have recently argued that if one introduces a relational time in quantum mechanics and quantum gravity, the resulting quantum theory is such that pure states evolve into mixed states. The rate at which states decohere depends on the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Rodolfo Gambini , Rafael Porto , Jorge Pullin

The decoherent (consistent) histories formalism has been proposed as a means of eliminating measurements as a fundamental concept in quantum mechanics. In this formalism, probabilities can be assigned to any description which satisfies a…

量子物理 · 物理学 2007-05-23 Todd A. Brun

We analyse and develop the recent suggestion that a temporal form of quantum logic provides the natural mathematical framework within which to discuss the proposal by Gell-Mann and Hartle for a generalised form of quantum theory based on…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Chris Isham , Noah Linden

Within the histories formalism the decoherence functional is a formal tool to investigate the emergence of classicality in isolated quantum systems, yet an explicit evaluation of it from first principles has not been reported. We provide…

量子物理 · 物理学 2024-11-14 Philipp Strasberg , Teresa E. Reinhard , Joseph Schindler

Emergent quantum technologies have led to increasing interest in decoherence - the processes that limit the appearance of quantum effects and turn them into classical phenomena. One important cause of decoherence is the interaction of a…

量子物理 · 物理学 2007-05-23 Lucia Hackermueller , Klaus Hornberger , Bjoern Brezger , Anton Zeilinger , Markus Arndt

The problem investigated in this paper is einselection, i. e. the selection of mutually exclusive quantum states with definite probabilities through decoherence. Its study is based on a theory of decoherence resulting from the projection…

量子物理 · 物理学 2009-11-10 Roland Omnes

Within the decoherent histories formulation of quantum mechanics, we investigate necessary conditions for decoherence of arbitrarily long histories. We prove that fine-grained histories of arbitrary length decohere for all classical initial…

量子物理 · 物理学 2009-11-10 Artur Scherer , Andrei N. Soklakov , Ruediger Schack

In the arrival time problem in quantum mechanics, a standard formula that frequently emerges as the probability for crossing the origin during a given time interval is the current integrated over that time interval. This is semiclassically…

量子物理 · 物理学 2015-05-13 J. J. Halliwell , J. M. Yearsley

We introduce a condition for the strong decoherence of a set of alternative histories of a closed quantum-mechanical system such as the universe. The condition applies, for a pure initial state, to sets of homogeneous histories that are…

广义相对论与量子宇宙学 · 物理学 2008-02-03 Murray Gell-Mann , James B. Hartle

The roles of decoherence and environment-induced superselection in the emergence of the classical from the quantum substrate are described. The stability of correlations between the einselected quantum pointer states and the environment…

量子物理 · 物理学 2011-08-04 Wojciech H. Zurek

One interpretation of how the classical world emerges from an underlying quantum reality involves the build-up of certain robust entanglements between particles due to scattering events [Science Vol.301 p.1081]. This is an appealing view…

量子物理 · 物理学 2013-04-26 P. A. Knott , J. Sindt , J. A. Dunningham

We study dynamics of quantum open systems, paying special attention to those aspects of their evolution which are relevant to the transition from quantum to classical. We begin with a discussion of the conditional dynamics of simple…

量子物理 · 物理学 2015-06-26 Juan Pablo Paz , Wojciech Hubert Zurek

The problem of using observed correlations to infer causal relations is relevant to a wide variety of scientific disciplines. Yet given correlations between just two classical variables, it is impossible to determine whether they arose from…

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

The quantum Zeno effect arises due to frequent observation. That implies the existence of some experimenter and its interaction with the system. In this contribution, we examine what happens for a closed system if one considers a quantum…

量子物理 · 物理学 2007-06-13 Petros Wallden

Endeavoring to formulate an exhaustive solution to the measurement problem in view of the theory of decoherence leads to a better understanding of the status of the collapse and of the emergence of classicality, thanks to a precise…

量子物理 · 物理学 2023-09-01 Antoine Soulas

The relationship between classical and quantum theory is of central importance to the philosophy of physics, and any interpretation of quantum mechanics has to clarify it. Our discussion of this relationship is partly historical and…

量子物理 · 物理学 2007-05-23 N. P. Landsman

Within the decoherent histories formulation of quantum mechanics, we consider arbitrarily long histories constructed from a fixed projective partition of a finite-dimensional Hilbert space. We review some of the decoherence properties of…

量子物理 · 物理学 2009-11-10 Artur Scherer , Andrei N. Soklakov