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Contextuality in Classical Physics and Its Impact on the Foundations of Quantum Mechanics [PDF]

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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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
doaj   +3 more sources

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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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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Quantum Thermodynamics: A Dynamical Viewpoint

Entropy, 2013
Quantum thermodynamics addresses the emergence of thermodynamic laws from quantum mechanics. The viewpoint advocated is based on the intimate connection of quantum thermodynamics with the theory of open quantum systems. Quantum mechanics inserts dynamics
Ronnie Kosloff
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Entropic Dynamics Approach to Relational Quantum Mechanics [PDF]

Entropy
The general framework of Entropic Dynamics (ED) is used to construct non-relativistic models of relational Quantum Mechanics from well-known inference principles—probability, entropy and information geometry.
Ariel Caticha, Hassaan Saleem
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Entropic Dynamics Approach to Quantum Electrodynamics [PDF]

Entropy
Entropic Dynamics (ED) is a framework that allows one to derive quantum theory as a Hamilton–Killing flow on the cotangent bundle of a statistical manifold.
Ariel Caticha
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The POVM Theorem in Bohmian Mechanics [PDF]

Entropy
The POVM theorem is a central result in Bohmian mechanics, grounding the measurement formalism of standard quantum mechanics in a statistical analysis based on the quantum equilibrium hypothesis (the Born rule for Bohmian particle positions).
Christian Beck, Dustin Lazarovici
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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, Lorenzo Maccone, Urbasi Sinha   +2 more
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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
doaj   +1 more source