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Foundations of Quantum Mechanics
Encyclopedia, 2022 Quantum mechanics is a mathematical formalism that models the dynamics of physical objects. It deals with the elementary constituents of matter (atoms, subatomic and elementary particles) and of radiation.
Salim Yasmineh
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Foundations of the Quaternion Quantum Mechanics [PDF]
Entropy, 2020 We show that quaternion quantum mechanics has well-founded mathematical roots and can be derived from the model of the elastic continuum by French mathematician Augustin Cauchy, i.e., it can be regarded as representing the physical reality of elastic ...
Marek Danielewski, Lucjan Sapa
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Contextuality in Classical Physics and Its Impact on the Foundations of Quantum Mechanics
Entropy, 2021 It is shown that the hallmark quantum phenomenon of contextuality is present in classical statistical mechanics (CSM). It is first shown that the occurrence of contextuality is equivalent to there being observables that can differentiate between pure and
Fritiof Wallentin
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Testing quantum foundations with quantum computers
Physical Review Research, 2022 We present two complementary viewpoints for combining quantum computers and the foundations of quantum mechanics. On the one hand, ideal devices can be used as test beds for experimental tests of the foundations of quantum mechanics: We provide ...
Simanraj Sadana +2 more
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Conservation laws and the foundations of quantum mechanics
Proceedings of the National Academy of Sciences of the United States of America, 2023 In a recent paper, [Y. Aharonov, S. Popescu, D. Rohrlich, Proc. Natl. Acad. Sci. U.S.A. 118 e1921529118 (2021)], it was argued that while the standard definition of conservation laws in quantum mechanics, which is of a statistical character, is perfectly valid, it misses ...
Daniel Rohrlich +2 more
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Epistemic Horizons and the Foundations of Quantum Mechanics [PDF]
Foundations of Physics, 2018 In-principle restrictions on the amount of information that can be gathered about a system have been proposed as a foundational principle in several recent reconstructions of the formalism of quantum mechanics. However, it seems unclear precisely why one should be thus restricted.
Jochen Szangolies
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Local Scale Covariance and Its Radical Implications for Cosmology
Galaxies, 2021 Local scale covariance posits that no privileged length scales should appear in the fundamental equations of local, Minkowskian physics—why should nature have scale, but not position preferences?—yet, they clearly do.
Yehonatan Knoll
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Depicting qudit quantum mechanics and mutually unbiased qudit theories [PDF]
Electronic Proceedings in Theoretical Computer Science, 2014 We generalize the ZX calculus to quantum systems of dimension higher than two. The resulting calculus is sound and universal for quantum mechanics. We define the notion of a mutually unbiased qudit theory and study two particular instances of these ...
André Ranchin
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Simulating single-spin dynamics on an IBM five-qubit chip [PDF]
Revista Brasileira de Ensino de Física, 2020 In this paper we show how the IBM superconducting chips can be a powerful tool for teaching foundations of quantum mechanics for undergraduate students (for graduates as well, in some cases). To this end, we briefly discuss about the main elements of the
Émerson M. Alves +3 more
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