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Symmetries and Geometries of Qubits, and Their Uses [PDF]
Symmetry, 2021 The symmetry SU(2) and its geometric Bloch Sphere rendering have been successfully applied to the study of a single qubit (spin-1/2); however, the extension of such symmetries and geometries to multiple qubits—even just two—has been investigated far less, despite the centrality of such systems for quantum information processes. In the last two decades,
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Weyl conformal geometry vs Weyl anomaly
Journal of High Energy Physics, 2023 Weyl conformal geometry is a gauge theory of scale invariance that naturally brings together the Standard Model (SM) and Einstein gravity. The SM embedding in this geometry is possible without new degrees of freedom beyond SM and Weyl geometry, while ...
D. M. Ghilencea
doaj +1 more source
Lifshitz symmetry: Lie algebras, spacetimes and particles [PDF]
SciPost Physics, 2022 We study and classify Lie algebras, homogeneous spacetimes and coadjoint orbits (“particles”) of Lie groups generated by spatial rotations, temporal and spatial translations and an additional scalar generator.
J. Figueroa-O’Farrill +2 more
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3D GAN Inversion with Facial Symmetry Prior [PDF]
Computer Vision and Pattern Recognition, 2022 Recently, a surge of high-quality 3D-aware GANs have been proposed, which leverage the generative power of neural rendering. It is natural to associate 3D GANs with GAN inversion methods to project a real image into the generator's latent space, allowing
Fei Yin +10 more
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Geometry and symmetry in biochemical reaction systems [PDF]
Theory in Biosciences, 2021 AbstractComplex systems of intracellular biochemical reactions have a central role in regulating cell identities and functions. Biochemical reaction systems are typically studied using the language and tools of graph theory. However, graph representations only describe pairwise interactions between molecular species and so are not well suited to ...
Ben D. MacArthur +4 more
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Symmetry structure of special geometries [PDF]
Nuclear Physics B, 1993 Using techniques from supergravity and dimensional reduction, we study the full isometry algebra of K hler and quaternionic manifolds with special geometry. These two varieties are related by the so-called c-map, which can be understood from dimensional reduction of supergravity theories or by changing chirality assignments in the underlying ...
Wit, B. de +2 more
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Geometry and Symmetry in Short-and-Sparse Deconvolution [PDF]
International Conference on Machine Learning, 2019 We study the $\textit{Short-and-Sparse (SaS) deconvolution}$ problem of recovering a short signal $\mathbf a_0$ and a sparse signal $\mathbf x_0$ from their convolution.
Han-Wen Kuo +3 more
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Feynman Integrals, Toric Geometry and Mirror Symmetry [PDF]
Texts & Monographs in Symbolic Computation, 2018 This expository text is about using toric geometry and mirror symmetry for evaluating Feynman integrals. We show that the maximal cut of a Feynman integral is a GKZ hypergeometric series.
P. Vanhove
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Symmetry, spin-texture, and tunable quantum geometry in a WTe2 monolayer [PDF]
Physical review B, 2018 The spin orientation of electronic wavefunctions in crystals is an internal degree of freedom, typically insensitive to electrical knobs. We argue from a general symmetry analysis and a $\vec k \cdot \vec p$ perspective, that monolayer 1T'-WTe$_2 ...
Li-kun Shi, Justin C. W. Song
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Geometries with the Second Poincaré Symmetry [PDF]
Communications in Theoretical Physics, 2012 The second Poincar kinematical group serves as one of new ones in addition to the known possible kinematics. The geometries with the second Poincar symmetry is presented and their properties are analyzed. On the geometries, the new mechanics based on the principle of relativity with two universal constants $(c,l)$ can be established.
Zhan Xu +4 more
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