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We argue that the quantum probability law follows, in the large N limit, from the compatibility of quantum mechanics with classical-like properties of macroscopic objects. For a finite sample, we find that likely and unlikely measurement…

量子物理 · 物理学 2009-11-07 Yakir Aharonov , Benni Reznik

In a recent paper (quant-ph/9906015), Deutsch claims to derive the "probabilistic predictions of quantum theory" from the "non-probabilistic axioms of quantum theory" and the "non-probabilistic part of classical decision theory." We show…

量子物理 · 物理学 2009-10-31 H. Barnum , C. M. Caves , J. Finkelstein , C. A. Fuchs , R. Schack

The probabilistic predictions of quantum theory are conventionally obtained from a special probabilistic axiom. But that is unnecessary because all the practical consequences of such predictions follow from the remaining, non-probabilistic,…

量子物理 · 物理学 2009-10-31 David Deutsch

The observed general time-asymmetric behavior of macroscopic systems -- embodied in the second law of thermodynamics -- arises naturally from time-symmetric microscopic laws due to the great disparity between macro and micro-scales. More…

凝聚态物理 · 物理学 2007-05-23 Joel L. Lebowitz

As observers of the universe we are quantum physical systems within it. If the universe is very large in space and/or time, the probability becomes significant that the data on which we base predictions is replicated at other locations in…

高能物理 - 理论 · 物理学 2013-05-29 Mark Srednicki , James Hartle

It is assumed that the quantum state that may describe a macroscopic system at a given instant of time is one of the eigenstates of the reduced density matrix calculated from the wave function of the system plus its environment. This…

量子物理 · 物理学 2007-05-23 Gyula Bene

As observers of the universe we are physical systems within it. If the universe is very large in space and/or time, the probability becomes significant that the data on which we base predictions is replicated at other locations in…

高能物理 - 理论 · 物理学 2015-05-18 Mark Srednicki , James Hartle

We show that the local and deterministic mode of description is not only in conflict with the quantum theory, but also with relativity. We argue that elementary relativistic properties of spacetime lead to the emergence of a…

量子物理 · 物理学 2020-06-24 Andrzej Dragan , Artur Ekert

We will discuss the link between scientific explanations and probabilities, specially in relationship with statistical mechanics and the derivation of macroscopic laws from microscopic ones.

统计力学 · 物理学 2019-06-18 Jean Bricmont

Two problems will be considered: the question of hidden parameters and the problem of Kolmogorovity of quantum probabilities. Both of them will be analyzed from the point of view of two distinct understandings of quantum mechanical…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Laszlo E. Szabo

The quantum mechanics postulate called the Born Rule attributes a probabilistic meaning to a wave function. This paper derives the Born Rule from other quantum principles along with a model of the measurement process. The nondeterministic…

量子物理 · 物理学 2025-12-22 Alan Schaum

In a recent article, Khrennikov claims that a particular theorem about agreement between quantum measurement results poses a problem for the interpretation of quantum mechanics known as QBism. Considering the basic setup of that theorem in…

量子物理 · 物理学 2023-02-21 Blake C. Stacey

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

We report a similarity between the microscopic parameter dependance of emergent theories in physics and that of multiparameter models common in other areas of science. In both cases, predictions are possible despite large uncertainties in…

统计力学 · 物理学 2014-03-05 Benjamin B. Machta , Ricky Chachra , Mark K. Transtrum , James P. Sethna

The quantum-mechanical rule for probabilities, in its most general form of positive-operator valued measure (POVM), is shown to be a consequence of the environment-assisted invariance (envariance) idea suggested by Zurek [Phys. Rev. Lett.…

量子物理 · 物理学 2014-12-23 A. V. Nenashev

Emergence of deterministic and irreversible macroscopic behavior from deterministic and reversible microscopic dynamics is understood as a result of the law of large numbers. In this paper, we prove on the basis of the theory of algorithmic…

统计力学 · 物理学 2019-11-19 Ken Hiura , Shin-ichi Sasa

Probabilistic description of results of measurements and its consequences for understanding quantum mechanics are discussed. It is shown that the basic mathematical structure of quantum mechanics like the probability amplitudes, Born rule,…

量子物理 · 物理学 2009-11-13 L. Skala , V. Kapsa

We review canonical experiments on systems that have pushed the boundary between the quantum and classical worlds towards much larger scales, and discuss their unique features that enable quantum coherence to survive. Because the types of…

量子物理 · 物理学 2015-06-19 Tristan Farrow , Vlatko Vedral

An approach is presented treating decision theory as a probabilistic theory based on quantum techniques. Accurate definitions are given and thorough analysis is accomplished for the quantum probabilities describing the choice between…

人工智能 · 计算机科学 2022-06-06 V. I. Yukalov

Quantum mechanics marks a radical departure from the classical understanding of Nature, fostering an inherent randomness which forbids a deterministic description; yet the most fundamental departure arises from something different. As shown…

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