Characterizing barren plateaus in quantum ansätze with the adjoint representation [PDF]
Nature Communications, 2023 Variational quantum algorithms, a popular heuristic for near-term quantum computers, utilize parameterized quantum circuits which naturally express Lie groups.
Enrico Fontana +7 more
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Torus knots in adjoint representation and Vogel’s universality [PDF]
European Physical Journal C: Particles and FieldsVogel’s universality gives a unified description of the adjoint sector of representation theory for simple Lie algebras in terms of three parameters $$\alpha ,\beta ,\gamma $$ α , β , γ , which are homogeneous coordinates of Vogel’s plane.
Liudmila Bishler, Andrei Mironov
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Three-dimensional lattice SU($N_c$) gauge theories with multiflavor scalar fields in the adjoint representation [PDF]
Physical review B, 2021 We consider three-dimensional lattice SU(Nc) gauge theories with multiflavor (Nf > 1) scalar fields in the adjoint representation. We investigate their phase diagram, identify the different Higgs phases with their gauge-symmetry pattern, and determine ...
Claudio Bonati +3 more
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The Adjoint Representation of Quantum Algebra Uq(sl(2)) [PDF]
Journal of Nonlinear Mathematical Physics, 2009 Starting from any representation of the Lie algebra on the finite dimensional vector space V we can construct the representation on the space Aut(V). These representations are of the type of ad.
Č. Burdík +2 more
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Three-dimensional QCD in the adjoint representation and random matrix theory [PDF]
, 2000 In this paper we complete the derivations of finite volume partition functions for QCD using random matrix theories by calculating the effective low-energy partition function for three-dimensional QCD in the adjoint representation from a random matrix ...
U. Magnea
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Spectrum of SU(2) gauge theory with two fermions in the adjoint representation [PDF]
, 2008 We present preliminary results of lattice simulations of SU(2) gauge theory with two Wilson fermions in the adjoint representation. This theory has recently attracted considerable attention because it might possess an infrared fixed point (or an almost ...
Ari Hietanen +3 more
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Small eigenvalues of the staggered Dirac operator in the adjoint representation and random matrix theory [PDF]
, 1999 The low-lying spectrum of the Dirac operator is predicted to be universal, within three classes, depending on symmetry properties specified according to random matrix theory.
Robert G. Edwards +2 more
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Automatic adjoint-based inversion schemes for geodynamics: reconstructing the evolution of Earth's mantle in space and time [PDF]
Geoscientific Model DevelopmentReconstructing the thermo-chemical evolution of Earth's mantle and its diverse surface manifestations is a widely recognised grand challenge for the geosciences.
S. Ghelichkhan +5 more
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When ancient numerical demons meet physics-informed machine learning: adjoint-based gradients for implicit differentiable modeling [PDF]
Hydrology and Earth System SciencesRecent advances in differentiable modeling, a genre of physics-informed machine learning that trains neural networks (NNs) together with process-based equations, have shown promise in enhancing hydrological models' accuracy, interpretability, and ...
Y. Song +7 more
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A representation for an adjoint operator
Journal of Numerical Analysis and Approximation Theory, 1975 Not available.
Stephen P. Travis
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