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In this short survey article, I discuss Bell's theorem and some strategies that attempt to avoid the conclusion of non-locality. I focus on two that intersect with the philosophy of probability: (1) quantum probabilities and (2)…

量子物理 · 物理学 2020-10-27 Eddy Keming Chen

We introduce a logic modelling some aspects of the behaviour of the measurement process, in such a way that no direct mention of quantum states is made, thus avoiding the problems associated to this rather evasive notion. We then study some…

量子物理 · 物理学 2015-11-06 Olivier Brunet

The point of building a quantum computer is that it allows to model living things with predictive power and gives the opportunity to control life. Its scaling means not just the improvement of the instrument part, but also, mainly,…

量子物理 · 物理学 2022-12-22 Yuri I. Ozhigov

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

Quantum mechanics is an extremely successful theory of nature and yet it lacks an intuitive axiomatization. In contrast, the special theory of relativity is well understood and is rooted into natural or experimentally justified postulates.…

量子物理 · 物理学 2015-10-27 Florin Moldoveanu

Some mathematical theories in physics justify their explanatory superiority over earlier formalisms by the clarity of their postulates. In particular, axiomatic reconstructions drive home the importance of the composition rule and the…

量子物理 · 物理学 2015-10-26 Alexei Grinbaum

We propose six principles as the fundamental principles of quantum mechanics: principle of space and time, Galilean principle of relativity, Hamilton's principle, wave principle, probability principle, and principle of indestructibility and…

量子物理 · 物理学 2007-05-23 Eijiro Sakai

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

It is argued that the usual postulates of quantum mechanics are too strong. It is conjectured that it is possible to interpret all experiments if we maintain the formalism of quantum theory without modification, but weaken the postulates…

量子物理 · 物理学 2020-11-03 Emilio Santos

The theory of quantum mechanics is examined using non-standard real numbers, called quantum real numbers (qr-numbers), that are constructed from standard Hilbert space entities. Our goal is to resolve some of the paradoxical features of the…

量子物理 · 物理学 2012-10-03 John V Corbett

We present a new characterization of quantum theory in terms of simple physical principles that is different from previous ones in two important respects: first, it only refers to properties of single systems without any assumptions on the…

量子物理 · 物理学 2015-01-06 Howard Barnum , Markus P. Mueller , Cozmin Ududec

In this paper, we present a general theory of finite quantum measurements, for which we assume that the state space of the measured system is a finite dimensional Hilbert space and that the possible outcomes of a measurement is a finite set…

量子物理 · 物理学 2023-02-15 Masanao Ozawa

Standard quantum mechanics unquestionably violates the separability principle that classical physics (be it point-like analytic, statistical, or field-theoretic) accustomed us to consider as valid. In this paper, quantum nonseparability is…

量子物理 · 物理学 2007-05-23 Vassilios Karakostas

We consider the space of probabilities {P(x)}, where the x are coordinates of a configuration space. Under the action of the translation group there is a natural metric over the space of parameters of the group given by the Fisher-Rao…

量子物理 · 物理学 2015-05-30 Marcel Reginatto , Michael J. W. Hall

In a recent paper [e-print quant-ph/0101012], Hardy has given a derivation of "quantum theory from five reasonable axioms." Here we show that Hardy's first axiom, which identifies probability with limiting frequency in an ensemble, is not…

量子物理 · 物理学 2022-10-12 Ruediger Schack

Motivated by Quantum Bayesianism I give background for a general epistemic approach to quantum mechanics, where complementarity and symmetry are the only essential features. A general definition of a symmetric epistemic setting is…

量子物理 · 物理学 2015-08-06 Inge S. Helland

In one-dimensional case, it is shown that the basic principles of quantum mechanics are properties of the set of intermediate cardinality.

量子物理 · 物理学 2007-05-23 O. Yaremchuk

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

Modal interpretations have the ambition to construe quantum mechanics as an objective, man-independent description of physical reality. Their second leading idea is probabilism: quantum mechanics does not completely fix physical reality but…

量子物理 · 物理学 2007-05-23 Dennis Dieks

Maximum likelihood principle is shown to be the best measure for relating the experimental data with the predictions of quantum theory.

量子物理 · 物理学 2009-10-31 Z. Hradil , J. Summhammer