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“In Mathematical Language”: On Mathematical Foundations of Quantum Foundations [PDF]
EntropyThe 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 Foundations of Classical Reversible Computing [PDF]
Entropy, 2021 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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Quantum Information and Foundations [PDF]
Entropy, 2019 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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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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Quantum Annealing - Foundations and Frontiers [PDF]
The European Physical Journal Special Topics, 2014 We briefly review various computational methods for the solution of optimization problems. First, several classical methods such as Metropolis algorithm and simulated annealing are discussed.
Cohen, Eliahu, Tamir, Boaz
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Entropy in Foundations of Quantum Physics [PDF]
Entropy, 2020 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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The Expectation Monad in Quantum Foundations [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 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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Comparing Singlet Testing Schemes [PDF]
EntropyWe compare schemes for testing whether two parties share a two-qubit singlet state. The first, standard, scheme tests Braunstein–Caves (or CHSH) inequalities, comparing the correlations of local measurements drawn from a fixed finite set against the ...
George Cowperthwaite, Adrian Kent
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Physics Today, 2019 More than a century after the birth of quantum mechanics, physicists and philosophers are still debating what a “measurement” really means.
David P. DiVincenzo +1 more
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Quantum Retrodiction: Foundations and Controversies [PDF]
Symmetry, 2021 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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