Results 51 to 60 of about 22,579,506 (332)
Subgroups of quantum groups [PDF]
The Quarterly Journal of Mathematics, 2018 Abstract We investigate the notion of a subgroup of a quantum group. We suggest a general definition, which takes into account the work that has been done for quantum homogeneous spaces. We further restrict our attention to reductive subgroups, where some faithful flatness conditions apply.
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Completely positive quantum stochastic convolution cocycles and their dilations. [PDF]
, 2007 Stochastic generators of completely positive and contractive quantum stochastic convolution cocycles on a C*-hyperbialgebra are characterised. The characterisation is used to obtain dilations and stochastic forms of Stinespring decomposition for ...
Skalski, Adam G.
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Quantum exponentials for the modular double and applications in gravity models
Journal of High Energy Physics, 2023 In this note, we propose a decomposition of the quantum matrix group SL q + $$ {\textrm{SL}}_q^{+} $$ (2, ℝ) as (deformed) exponentiation of the quantum algebra generators of Faddeev’s modular double of U q ( sl $$ \mathfrak{sl} $$ (2, ℝ)).
Thomas G. Mertens
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, 2023 <p>CUDA Quantum is now available <a href="https://pypi.org/project/cuda-quantum/">on PyPI</a>! For the initial PyPI release, the NVIDIA multi-gpu and tensornet backends are not yet included. Check out our Docker images <a href="https:
The CUDA Quantum development team
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Covariantization of quantized calculi over quantum groups [PDF]
Mathematica Bohemica, 2020 We introduce a method for construction of a covariant differential calculus over a Hopf algebra $A$ from a quantized calculus $da=[D,a]$, $a\in A$, where $D$ is a candidate for a Dirac operator for $A$.
Seyed Ebrahim Akrami, Shervin Farzi
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Journal of Algebra, 2005 A left Hopf algebra is a bialgebra \(H\) with a left antipode \(S\), i.e. a linear map \(S\colon H\to H\) such that \(S*I=\mu\varepsilon\), where \(\varepsilon\) is the counit, \(\mu\) is the unit, \(I\) is the identity map, and \(*\) is the convolution product. A left Hopf algebra which is not a Hopf algebra was constructed by \textit{J. A.
Rodríguez-Romo, Suemi, Taft, Earl J.
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In situ upgrade of quantum simulators to universal computers [PDF]
, 2018 Quantum simulators, machines that can replicate the dynamics of quantum systems, are being built as useful devices and are seen as a stepping stone to universal quantum computers.
Benjamin Dive +7 more
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Harmonic Analysis on Quantum Complex Hyperbolic Spaces
Symmetry, Integrability and Geometry: Methods and Applications, 2011 In this paper we obtain some results of harmonic analysis on quantum complex hyperbolic spaces. We introduce a quantum analog for the Laplace-Beltrami operator and its radial part.
Olga Bershtein, Yevgen Kolisnyk
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Compact quantum metric spaces from quantum groups of rapid decay [PDF]
, 2014 We present a modified version of the definition of property RD for discrete quantum groups given by Vergnioux in order to accommodate examples of non-unimodular quantum groups.
Jyotishman Bhowmick +2 more
semanticscholar +1 more source
FEBS Letters, EarlyView.We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
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