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In recent years, novel quantifications of measurement error in quantum mechanics have for the first time enabled precise formulations of Heisenberg's famous but often challenged measurement uncertainty relation. These relations take the…

量子物理 · 物理学 2014-05-28 Paul Busch , David B Pearson

A new formulation of relativistic quantum mechanics is proposed in the framework of the rest-frame instant form of dynamics with its instantaneous Wigner 3-spaces and with its description of the particle world-lines by means of derived…

高能物理 - 理论 · 物理学 2015-05-13 David Alba , Horace Crater , Luca Lusanna

Quantum theory does not only predict probabilities, but also relative phases for any experiment, that involves measurements of an ensemble of systems at different moments of time. We argue, that any operational formulation of quantum theory…

量子物理 · 物理学 2022-10-12 Charis Anastopoulos

In standard formulations of the uncertainty principle, two fundamental features are typically cast as impossibility statements: two noncommuting observables cannot in general both be sharply defined (for the same state), nor can they be…

量子物理 · 物理学 2018-06-08 Tom Bullock , Paul Busch

Human agents happen to judge that a conjunction of two terms is more probable than one of the terms, in contradiction with the rules of classical probabilities---this is the conjunction fallacy. One of the most discussed accounts of this…

物理与社会 · 物理学 2016-06-15 Thomas Boyer-Kassem , Sébastien Duchêne , Eric Guerci

In this paper we generalize the ideas of de Broglie and Bohm to the relativistic case which is based on the relativistic Schr\"odinger equation. In this regard, the relativistic forms of the guidance equation and quantum potential are…

量子物理 · 物理学 2014-06-10 Jafar Khodagholizadeh , Javad Kazemi , Alireza Babazadeh

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 amplitude, Born rule,…

量子物理 · 物理学 2007-05-23 L. Skala , V. Kapsa

Unsolved controversies about uncertainty relations and quantum measurements still persists nowadays. They originate around the shortcomings regarding the conventional interpretation of uncertainty relations. Here we show that the respective…

量子物理 · 物理学 2007-05-23 S. Dumitru

Quantum mechanics started out as a theory to describe the smallest scales of energy in Nature. After a hundred years of development it is now routinely employed to describe, among others, quantum computers with thousands of qubits. This…

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

What is fundamentally quantum? We argue that most of the features, problems, and paradoxes -- such as the measurement problem, the Wigner's friend paradox and its proposed solutions, single particle nonlocality, and no-cloning -- allegedly…

量子物理 · 物理学 2025-04-09 Flavio Del Santo , Nicolas Gisin

According to QBism, quantum states, unitary evolutions, and measurement operators are all understood as personal judgments of the agent using the formalism. Meanwhile, quantum measurement outcomes are understood as the personal experiences…

量子物理 · 物理学 2022-10-19 John B. DeBrota , Christopher A. Fuchs , Ruediger Schack

After a summary of Bohr's views and their relation to Kant's theory of science, two fruitless lines of attack on the measurement problem are discussed: the way of the psi-ontologist and the way of the QBist. In the remainder of the paper…

量子物理 · 物理学 2016-06-28 Ulrich Mohrhoff

The usual conjectures of quantum measurements approaches, inspired from the traditional interpretation of Heisenberg's ("uncertainty") relations, are proved as being incorrect. A group of reconsidered conjectures and a corresponding new…

量子物理 · 物理学 2007-05-23 Spiridon Dumitru

This work discloses some inconsistencies of quantum mechanics (QM) in two different contexts. On the one hand the equivalence principle in his two formulations is the starting point of all gravitational theories; yet there is no way to make…

量子物理 · 物理学 2019-10-21 Matteo Lugli

Quantum measurement is a fundamental concept in the field of quantum mechanics. The action of quantum measurement, leading the superposition state of the measured quantum system into a definite output state, not only reconciles…

综合物理 · 物理学 2024-08-13 Wei Wen

According to Heisenberg's uncertainty relation, there is an ultimate limit to how precisely we may predict the outcome of position and momentum measurements on a quantum system. We show that this limit may be violated by an arbitrarily…

量子物理 · 物理学 2021-08-18 Maryam Khanahmadi , Klaus Mølmer

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

We discuss the argument proposed in Ref.~\cite{Frauchiger-Renner}, and show that it does not particularly illustrate any inconsistency in quantum mechanics, but rather the well known difficulty often described as the \textquotedblleft…

量子物理 · 物理学 2018-07-10 F. Laloë

The distinctive features of quantum mechanics, which set it apart from other physical theories, challenge our notions of realism. Recovering realism from purely philosophical grounds, a quantitative and operational criterion was proposed in…

量子物理 · 物理学 2024-04-15 D. M. Fucci , R. M. Angelo