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The conceptual setting of quantum mechanics is subject to an ongoing debate from its beginnings until now. The consequences of the apparent differences between quantum statistics and classical statistics range from the philosophical…

Quantum Physics · Physics 2015-05-13 C. Wetterich

As it is well known, classical mechanics consists of several basic features like determinism, reductionism, completeness of knowledge and mechanicism. In this article the basic assumptions are discussed which underlie those features. It is…

Quantum Physics · Physics 2007-05-23 Gennaro Auletta

We still lack any consensus about what one is actually talking about as one uses quantum mechanics. There is a gap between the abstract terms in which the theory is couched and the phenomena the theory enables each of us to account for so…

Quantum Physics · Physics 2020-04-17 N. David Mermin

Quantum computing employs some quantum phenomena to process information. It has been hailed as the future of computing but it is plagued by serious hurdles when it comes to its practical realization. MemComputing is a new paradigm that…

Emerging Technologies · Computer Science 2025-12-05 Massimiliano Di Ventra

We investigate the idea that different interpretations of quantum mechanics can be seen as restrictions of the consistent (or decoherent) histories quantum mechanics of closed systems to particular classes of histories,together with the…

Quantum Physics · Physics 2014-11-18 James B. Hartle

The basic physical problems that necessitated the emergence of quantum physics are summarized, along with the elements of wave mechanics and its traditional statistical interpretation. Alternative interpretations to the statistical one,…

Quantum Physics · Physics 2007-05-23 David Delphenich

Quantum mechanics under the Copenhagen interpretation is one of the most experimentally well verified formalisms. However, it is known that the interpretation makes explicit reference to external observation or "measurement." One says that…

Quantum Physics · Physics 2014-08-18 Elliott Tammaro

Experiments in cognitive science and decision theory show that the ways in which people combine concepts and make decisions cannot be described by classical logic and probability theory. This has serious implications for applied disciplines…

Artificial Intelligence · Computer Science 2013-01-08 Diederik Aerts , Liane Gabora , Sandro Sozzo , Tomas Veloz

Classical linear wave superposition produces the appearance of interference. This observation can be interpreted in two equivalent ways: one can assume that interference is an illusion because input components remain unperturbed, or that…

Quantum Physics · Physics 2013-07-17 Ghenadie N. Mardari , James A. Greenwood

The possibility of consistency between the basic quantum principles of quantum mechanics and wave function collapse is reexamined. A specific interpretation of environment is proposed for this aim and applied to decoherence. When the…

Quantum Physics · Physics 2015-05-28 Roland Omnès

Simulating quantum mechanics is known to be a difficult computational problem, especially when dealing with large systems. However, this difficulty may be overcome by using some controllable quantum system to study another less controllable…

Quantum Physics · Physics 2014-03-14 I. M. Georgescu , S. Ashhab , Franco Nori

We start by reviewing some interesting results in mesoscopic physics illustrating nontrivial insights on Quantum Mechanics. We then review the general principles of dephasing (sometimes called "decoherence") of Quantum-Mechanical…

Condensed Matter · Physics 2009-10-31 Yoseph Imry

In many experiments on microscopic quantum systems, it is implicitly assumed that when a macroscopic procedure or "instruction" is repeated many times -- perhaps in different contexts -- each application results in the same microscopic…

Quantum Physics · Physics 2019-11-21 Andrzej Veitia , Marcus P. da Silva , Robin Blume-Kohout , Steven J. van Enk

Foundational investigations in quantum mechanics, both experimental and theoretical, gave birth to the field of quantum information science. Nevertheless, the foundations of quantum mechanics themselves remain hotly debated in the…

Quantum Physics · Physics 2013-07-24 Maximilian Schlosshauer , Johannes Kofler , Anton Zeilinger

One of the most important problems in Physics is how to reconcile Quantum Mechanics with General Relativity. Some authors have suggested that this may be realized at the expense of having to drop the quantum formalism in favor of a more…

Quantum Physics · Physics 2010-02-17 Miguel Navascues , Harald Wunderlich

This essay is an attempted to address, from a modern perspective, the motion of a particle. Quantum mechanically, motion consists of a series of localizations due to repeated interactions that, taken close to the limit of the continuum,…

General Physics · Physics 2015-05-14 Gerald E. Marsh

In this paper we review a proposed geometrical formulation of quantum mechanics. We argue that this geometrization makes available mathematical methods from classical mechanics to the quantum frame work. We apply this formulation to the…

Mathematical Physics · Physics 2014-11-21 G. Marmo , G. F. Volkert

At the onset of quantum mechanics, it was argued that the new theory would entail a rejection of classical logic. The main arguments to support this claim come from the non-commutativity of quantum observables, which allegedly would…

Quantum Physics · Physics 2023-03-10 Andrea Oldofredi , Gabriele Carcassi , Christine A. Aidala

The role of operational quantum mechanics, quantum axiomatics and quantum structures in general is presented as a contribution to a compendium on quantum physics, its history and philosophy.

History and Philosophy of Physics · Physics 2010-04-16 Diederik Aerts

This brief survey analyzes the epistemological implications about the role of observer in the interpretations of Quantum Mechanics. As we know, the goal of most interpretations of quantum mechanics is to avoid the apparent intrusion of the…

General Physics · Physics 2008-11-25 Michele Caponigro
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