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This is a review of the issue of randomness in quantum mechanics, with special emphasis on its ambiguity; for example, randomness has different antipodal relationships to determinism, computability, and compressibility. Following a…

物理学史与哲学 · 物理学 2020-02-19 Klaas Landsman

Self-testing is a method to infer the underlying physics of a quantum experiment in a black box scenario. As such it represents the strongest form of certification for quantum systems. In recent years a considerable self-testing literature…

量子物理 · 物理学 2020-10-07 Ivan Šupić , Joseph Bowles

Difficulties over probability have often been considered fatal to the Everett interpretation of quantum mechanics. Here I argue that the Everettian can have everything she needs from `probability' without recourse to indeterminism,…

量子物理 · 物理学 2007-05-23 Hilary Greaves

The three major theoretical principles of quantum mechanics relevant to its interpretation are: (T1), linearity; (T2), invariance under certain groups; and (T3) the orthogonality and isolation of the different branches of the state vector.…

量子物理 · 物理学 2009-10-21 Casey Blood

The notorious quantum measurement problem brings out the difficulty to reconcile two quantum postulates: the unitary evolution of closed quantum systems and the wave-function collapse after a measurement. This problematics is particularly…

量子物理 · 物理学 2022-08-24 George Moreno , Ranieri Nery , Cristhiano Duarte , Rafael Chaves

The subjective and the objective aspects of probabilities are incorporated in a simple duality axiom inspired by observer participation in quantum theory. Transcending the classical notion of probabilities, it is proposed and demonstrated…

量子物理 · 物理学 2013-03-20 Rajat Kumar Pradhan

In quantum physics the term `contextual' can be used in more than one way. One usage, here called `Bell contextual' since the idea goes back to Bell, is that if $A$, $B$ and $C$ are three quantum observables, with $A$ compatible (i.e.,…

量子物理 · 物理学 2019-09-19 Robert B. Griffiths

The traditional, standard approach to quantum theory is to assume that the theory ``really'' contains only unitary physical dynamics--i.e., that the only physically quantifiable evolution is that given by the time-dependent Schrodinger…

量子物理 · 物理学 2023-05-09 R. E. Kastner

It is shown that the Pauli equation and the concept of spin naturally emerge from logical inference applied to experiments on a charged particle under the conditions that (i) space is homogeneous (ii) the observed events are logically…

量子物理 · 物理学 2015-06-02 Hans De Raedt , Mikhail I. Katsnelson , Hylke C. Donker , Kristel Michielsen

Predictions of quantum theory have been confirmed experimentally in the microscopic domain with no known exceptions. This success motivates physicists to assume universal validity of the theory. To put the predictions of the quantum theory…

量子物理 · 物理学 2019-04-17 Jindřich Krčmář

A relativistic version of the (consistent or decoherent) histories approach to quantum theory is developed on the basis of earlier work by Hartle, and used to discuss relativistic forms of the paradoxes of spherical wave packet collapse,…

量子物理 · 物理学 2009-11-07 Robert B. Griffiths

It is common to model random errors in a classical measurement by the normal (Gaussian) distribution, because of the central limit theorem. In the quantum theory, the analogous hypothesis is that the matrix elements of the error in an…

量子物理 · 物理学 2009-11-10 S. G. Rajeev

In his constructive and well-informed commentary, Andrei Khrennikov acknowledges a privileged status of classical probability theory with respect to statistical analysis. He also sees advantages offered by the Contextuality-by-Default…

量子物理 · 物理学 2018-12-14 Ehtibar N. Dzhafarov , Maria Kon

The origin of non-classical correlations is difficult to identify since the uncertainty principle requires that information obtained about one observable invariably results in the disturbance of any other non-commuting observable. Here,…

量子物理 · 物理学 2014-07-01 Holger F. Hofmann

A discussion of the quantum mechanical use of superposition or entangled states shows that descriptions containing only statements about state vectors and experiments outputs are the most suitable for Quantum Mechanics. In particular, it is…

量子物理 · 物理学 2008-05-25 Giuseppe Giuliani

Quantum theory, originally proposed as a physical theory to describe the motions of microscopic particles, has been applied to various non-physics domains involving human cognition and decision-making that are inherently uncertain and…

计算与语言 · 计算机科学 2023-06-07 Yaochen Liu , Qiuchi Li , Benyou Wang , Yazhou Zhang , Dawei Song

The assumption of free will - the ability of an experimentalist to make random choices - is central to proving the indeterminism of quantum resources, the primary tool in quantum cryptography. Relaxing the assumption in a Bell test allows…

量子物理 · 物理学 2013-12-30 James E. Pope , Alastair Kay

Three recent arguments seek to show that the universal applicability of unitary quantum theory is inconsistent with the assumption that a well-conducted measurement always has a definite physical outcome. In this paper I restate and analyze…

量子物理 · 物理学 2018-10-17 Richard A. Healey

A phenomenological approach using the states of spin-like observables is developed to understand the nature of consciousness and the totality of experience. The three states of consciousness are taken to form the triplet of eigenstates of a…

综合物理 · 物理学 2010-10-19 Rajat Kumar Pradhan

Quantum theory's irreducible empirical core is a probability calculus. While it presupposes the events to which (and on the basis of which) it serves to assign probabilities, and therefore cannot account for their occurrence, it has to be…

量子物理 · 物理学 2014-11-03 Ulrich Mohrhoff