Results 11 to 20 of about 625,655 (327)
Superposition with Lambdas [PDF]
Journal of Automated Reasoning, 2019 AbstractWe designed a superposition calculus for a clausal fragment of extensional polymorphic higher-order logic that includes anonymous functions but excludes Booleans. The inference rules work on $$\beta \eta $$ β η -equivalence classes of $$\lambda $$
Bentkamp, Alexander +4 more
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Resource Theory of Superposition [PDF]
Physical Review Letters, 2017 The superposition principle lies at the heart of many non-classical properties of quantum mechanics. Motivated by this, we introduce a rigorous resource theory framework for the quantification of superposition of a finite number of linear independent states. This theory is a generalization of resource theories of coherence.
Theurer, T. +3 more
openaire +7 more sources
Toy Models of Superposition [PDF]
arXiv.org, 2022 Neural networks often pack many unrelated concepts into a single neuron - a puzzling phenomenon known as 'polysemanticity' which makes interpretability much more challenging.
Nelson Elhage +15 more
semanticscholar +1 more source
Quantum superposition of spacetimes obeys Einstein's equivalence principle [PDF]
AVS Quantum Science, 2021 Flaminia Giacomini1, ∗ and Časlav Brukner2, 3 1Perimeter Institute for Theoretical Physics, 31 Caroline St. N, Waterloo, Ontario, N2L 2Y5, Canada 2Vienna Center for Quantum Science and Technology (VCQ), Faculty of Physics, University of Vienna ...
Flaminia Giacomini, Č. Brukner
semanticscholar +1 more source
Multichannel Superposition of Grafted Perfect Vortex Beams
Advances in Materials, 2022 Inspired by plant grafting, grafted vortex beams can be formed through grafting two or more helical phase profiles of optical vortex beams. Recently, grafted perfect vortex beams (GPVBs) have attracted much attention due to their unique optical ...
Hammad Ahmed +6 more
semanticscholar +1 more source
Quantum superposition of two gravitational cat states [PDF]
Classical and quantum gravity, 2020 We extend our earlier work [] on probing a gravitational cat state (gravcat) to the quantum superposition of two gravcats in an exemplary model and in Bose–Einstein condensates (BEC).
Charis Anastopoulos, B. Hu
semanticscholar +1 more source
Quantum Attacks without Superposition Queries: the Offline Simon Algorithm [PDF]
IACR Cryptology ePrint Archive, 2019 In symmetric cryptanalysis, the model of superposition queries has led to surprising results, with many constructions being broken in polynomial time thanks to Simon's period-finding algorithm.
X. Bonnetain +4 more
semanticscholar +1 more source
Quantum Power Method by a Superposition of Time-Evolved States [PDF]
, 2020 We propose a quantum-classical hybrid algorithm of the power method, here dubbed as quantum power method, to evaluate $\hat{\mathcal{H}}^{n}|\psi\rangle$ with quantum computers, where $n$ is a nonnegative integer, $\hat{\mathcal{H}}$ is a time ...
K. Seki, S. Yunoki
semanticscholar +1 more source
On the possibility of laboratory evidence for quantum superposition of geometries [PDF]
Physics Letters B, 2018 We analyse the recent proposal of measuring a quantum gravity phenomenon in the lab by entangling two mesoscopic particles gravitationally. We give a generally covariant description of this phenomenon, where the relevant effect turns out to be a quantum ...
Marios Christodoulou, C. Rovelli
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Error bounds for deep ReLU networks using the Kolmogorov-Arnold superposition theorem [PDF]
Neural Networks, 2019 We prove a theorem concerning the approximation of multivariate functions by deep ReLU networks, for which the curse of the dimensionality is lessened. Our theorem is based on a constructive proof of the Kolmogorov-Arnold superposition theorem, and on a ...
Hadrien Montanelli, Haizhao Yang
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