Efficient formulation of full configuration interaction quantum Monte Carlo in a spin eigenbasis via the graphical unitary group approach. [PDF]
Journal of Chemical Physics, 2019 We provide a spin-adapted formulation of the Full Configuration Interaction Quantum Monte Carlo (FCIQMC) algorithm, based on the Graphical Unitary Group Approach (GUGA), which enables the exploitation of SU(2) symmetry within this stochastic framework ...
Werner Dobrautz, S. Smart, A. Alavi
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Building Efficient Deep Neural Networks With Unitary Group Convolutions [PDF]
Computer Vision and Pattern Recognition, 2018 We propose unitary group convolutions (UGConvs), a building block for CNNs which compose a group convolution with unitary transforms in feature space to learn a richer set of representations than group convolution alone.
Ritchie Zhao +4 more
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Quantum Chromodynamics and the Hyperbolic Unitary Group SUh(3)
Axioms, 2023 The paper shows that it is possible to construct quantum chromodynamics as a rigorous theory on the basis of employment of hyperbolic unitary group SUh(3), which is a symmetry group for the three-dimensional complex space of the hyperbolic type.
Nikolay Popov, Ivan Matveev
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Clifford Group and Unitary Designs under Symmetry
PRX Quantum, 2023 We have generalized the well-known statement that the Clifford group is a unitary 3-design into symmetric cases by extending the notion of unitary design.
Yosuke Mitsuhashi, Nobuyuki Yoshioka
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Full pseudoscalar mesonic chiral Lagrangian at p 6 order under the unitary group [PDF]
, 2014 We construct the full p6 order chiral Lagrangians for the unitary group and special unitary groups, including nf-, three- and two-flavor cases, all bilinear currents (scalar, pseudoscalar, vector, axial-vector and tensor currents) and theta parameter ...
Shao-Zhuo Jiang, Fengjun Ge, Qing Wang
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Validation of a novel imaging-guided and anatomy-based classification system for anorectal fistulas: a retrospective clinical evaluation study [PDF]
Annals of ColoproctologyPurpose This study was conducted to evaluate the validity of a new imaging-guided, anatomy-based classification of anorectal fistulas in defining disease severity and predicting surgical outcomes.
Antonio Brillantino +38 more
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The unitary representations of the Poincar\'e group in any spacetime dimension
SciPost Physics Lecture Notes, 2021 An extensive group-theoretical treatment of linear relativistic field equations on Minkowski spacetime of arbitrary dimension $D\geqslant 3$ is presented.
Xavier Bekaert, Nicolas Boulanger
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The Unitary Group in Its Strong Topology [PDF]
, 2013 The goal of this paper is to confirm that the unitary group U(H) on an infinite dimensional complex Hilbert space is a topological group in its strong topology, and to emphasize the importance of this property for applications in topology. In addition,
M. Schottenloher
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Exploring Information communication Technology-enabled travel Pattern in a city region of India
International Journal of Urban Sustainable Development, 2023 Information and Communication Technology (ICT) is advocated to contribute to sustainable transportation by prompting a change in travel patterns. Therefore, using an ICT-enabled city region in India as the study context, the objectives of the study were ...
Dillip Kumar Das +2 more
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The Clifford group forms a unitary 3-design [PDF]
Quantum information & computation, 2015 Unitary $k$-designs are finite ensembles of unitary matrices that approximate the Haar distribution over unitary matrices. Several ensembles are known to be 2-designs, including the uniform distribution over the Clifford group, but no family of ensembles
Zak Webb
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