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In a quantum-Bayesian take on quantum mechanics, the Born Rule cannot be interpreted as a rule for setting measurement-outcome probabilities from an objective quantum state. But if not, what is the role of the rule? In this paper, we argue…

量子物理 · 物理学 2009-06-12 Christopher A. Fuchs , Ruediger Schack

It is argued from several points of view that quantum probabilities might play a role in statistical settings. New approaches toward quantum foundations have postulates that appear to be equally valid in macroscopic settings. One such…

量子物理 · 物理学 2025-06-26 Inge S. Helland

The possibility to recover the which-way information, for example in the two slit experiment, is based on a natural but implicit assumption about the position of a particle {\it before} a position measurement is performed on it. This…

量子物理 · 物理学 2007-06-13 Bruno Galvan

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 the Quantum-Bayesian interpretation of quantum theory (or QBism), the Born Rule cannot be interpreted as a rule for setting measurement-outcome probabilities from an objective quantum state. But if not, what is the role of the rule? In…

量子物理 · 物理学 2015-06-12 Christopher A. Fuchs , Ruediger Schack

Using the existing classification of all alternatives to the measurement postulates of quantum theory we study the properties of bi-partite systems in these alternative theories. We prove that in all these theories the purification…

量子物理 · 物理学 2018-11-08 Thomas D. Galley , Lluis Masanes

We present a description of the measurement process based on the parametric representation with environmental coherent states. This representation is specifically tailored for studying quantum systems whose environment needs being…

量子物理 · 物理学 2015-09-30 Pietro Liuzzo-Scorpo , Alessandro Cuccoli , Paola Verrucchi

In this paper I present a thought experiment that gives different results depending on whether or not the wavefunction collapses. Since the wavefunction does not obey the Schrodinger equation during the collapse, conservation laws are…

量子物理 · 物理学 2020-10-29 Sivapalan Chelvaniththilan

We introduce a 'uniform tension-reduction' (UTR) model, which allows to represent the probabilities associated with an arbitrary measurement situation and use it to explain the emergence of quantum probabilities (the Born rule) as 'uniform'…

量子物理 · 物理学 2015-09-17 Diederik Aerts , Massimiliano Sassoli de Bianchi

According to the Born rule, the probability density in quantum theory is determined by the square of the wave function. A generally accepted derivation of this rule has not yet been proposed. In the given work, a simple physical picture is…

量子物理 · 物理学 2024-08-19 S. S. Afonin

The violation of Bell, CHSH and CH inequalities indicates only that the assumption of "conterfactual definiteness" and/or the probabilistic models used in proofs were incorrect. In this paper we discuss in detail an intimate relation…

量子物理 · 物理学 2015-08-26 Marian Kupczynski

Contrary to general relativity, quantum theory treats space and time in fundamentally different ways. In particular, while joint probabilities associated with spacelike separated measurements are defined in terms of the Born rule, joint…

量子物理 · 物理学 2026-01-13 James Fullwood , Zhihao Ma , Zhen Wu

According to the subjective Bayesian interpretation of quantum theory (QBism), quantum mechanics is a tool that an agent would be wise to use when making bets about natural phenomena. In particular, the Born rule is understood to be a…

Suppose that particle detectors are placed along a Cauchy surface $\Sigma$ in Minkowski space-time, and consider a quantum theory with fixed or variable number of particles (i.e., using Fock space or a subspace thereof). It is…

数学物理 · 物理学 2020-03-27 Matthias Lienert , Roderich Tumulka

Applications of quantum mechanics have led to many successful predictions and explanations of puzzling phenomena, and we now apply quantum mechanics to gain, process, and communicate information in novel ways. We can understand quantum…

量子物理 · 物理学 2026-04-03 Richard Healey

Quantum dynamics of the collective mode and individual particles on a ring is studied as the simplest model of projective quantum measurement. In this model, the collective mode measures an individual single quantum system. The heart of the…

量子物理 · 物理学 2015-06-19 Masahiro Morikawa , Akika Nakamichi

Fluctuation theorems have elevated the second law of thermodynamics to a statistical realm by establishing a connection between time-forward and time-reversal probabilities, providing invaluable insight into nonequilibrium dynamics. While…

量子物理 · 物理学 2025-06-05 Hui Li , Jie Xie , Hyukjoon Kwon , Yixin Zhao , M. S. Kim , Lijian Zhang

According to Born's rule quantum probabilities are given by the overlap between the system state and measurement states in a quite symmetrical way. This means that both contribute to any observed nonclassical effect that is usually…

量子物理 · 物理学 2019-05-21 Alfredo Luis , Laura Ares

In ordinary situations involving a small part of the universe, Born's rule seems to work well for calculating probabilities of observations in quantum theory. However, there are a number of reasons for believing that it is not adequate for…

高能物理 - 理论 · 物理学 2022-10-14 Don N. Page

The subjective Bayesian interpretation of probability asserts that the rules of the probability calculus follow from the normative principle of Dutch-book coherence: A decision-making agent should not assign probabilities such that a series…

量子物理 · 物理学 2022-08-02 John B. DeBrota , Christopher A. Fuchs , Jacques L. Pienaar , Blake C. Stacey