Results 11 to 20 of about 6,445 (252)
Entropy in Foundations of Quantum Physics [PDF]
Entropy can be used in studies on foundations of quantum physics in many different ways, each of them using different properties of this mathematical object [...]
Marcin Pawłowski
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“In Mathematical Language”: On Mathematical Foundations of Quantum Foundations [PDF]
The argument of this article is threefold. First, the article argues that from its rise in the sixteenth century to our own time, the advancement of modern physics as mathematical-experimental science has been defined by the invention of new mathematical
Arkady Plotnitsky
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Quantum Retrodiction: Foundations and Controversies [PDF]
Prediction is the making of statements, usually probabilistic, about future events based on current information. Retrodiction is the making of statements about past events based on current information. We present the foundations of quantum retrodiction and highlight its intimate connection with the Bayesian interpretation of probability. The close link
Stephen M Barnett +2 more
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Quantum Foundations of Classical Reversible Computing [PDF]
The reversible computation paradigm aims to provide a new foundation for general classical digital computing that is capable of circumventing the thermodynamic limits to the energy efficiency of the conventional, non-reversible digital paradigm. However,
Michael P. Frank, Karpur Shukla
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Testing quantum foundations with quantum computers
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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The quantum foundations of utility and value. [PDF]
This work presents a generalization of game theory and new perspectives on utility and value. Using quantum formalism, we prove that classical game theory is a special case of quantum game theory. We show that the von Neumann entropy and von Neumann–Morgenstern utility are equivalent and that the Hamiltonian operator represents value.
Abel CR.
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Quantum Information and Foundations [PDF]
The new era of quantum foundations, fed by the quantum information theory experience and opened in the early 2000s by a series of memorable papers [...]
Giacomo Mauro D’Ariano +1 more
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Foundations of the Quaternion Quantum Mechanics [PDF]
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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The Expectation Monad in Quantum Foundations [PDF]
The expectation monad is introduced abstractly via two composable adjunctions, but concretely captures measures. It turns out to sit in between known monads: on the one hand the distribution and ultrafilter monad, and on the other hand the continuation ...
Bart Jacobs, Jorik Mandemaker
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Quantum AGI: Ontological Foundations
Accepted into AGI-25.
Elija Perrier +2 more
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