Results 31 to 40 of about 14,402,713 (324)
Categorical action of the extended braid group of affine type A [PDF]
, 2015 Using a quiver algebra of a cyclic quiver, we construct a faithful categorical action of the extended braid group of affine type A on its bounded homotopy category of finitely generated projective modules.
Agnes Gadbled, A. Thiel, E. Wagner
semanticscholar +1 more source
Topological Quantum Computing and 3-Manifolds
Quantum Reports, 2021 In this paper, we will present some ideas to use 3D topology for quantum computing. Topological quantum computing in the usual sense works with an encoding of information as knotted quantum states of topological phases of matter, thus being locked into ...
Torsten Asselmeyer-Maluga
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Explicit Presentations for the Dual Braid Monoids [PDF]
, 2001 Birman, Ko and Lee have introduced a new monoid ${\cal B}^{*}_{n}$--with an explicit presentation--whose group of fractions is the $n$-strand braid group ${\cal B}_{n}$.
Picantin, Matthieu
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MATEC Web of Conferences, 2018 The role of the braid group constitutes one of the invariant measurements. Through the classification of braids formed several parts of the braid group, but does not computationally distinguish them.
Nasution Mahyuddin K M
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Topological model of composite fermions in the cyclotron band generator picture: New insights
Results in Physics, 2018 A combinatorial group theory in the braid groups is correlated with the unusual “anyon” statistic of particles in 2D Hall system in the fractional quantum regime well.
Beata Staśkiewicz
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Pure braid subgroups on braided Thompson’s groups [PDF]
Publicacions Matemàtiques, 2008 26 pages, 6 figures, with updated ...
Brady, Tom +3 more
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Krammer's Representation of the Pure Braid Group, 𝑃3
International Journal of Mathematics and Mathematical Sciences, 2010 We consider Krammer's representation of the pure braid group on three strings: 𝑃3→𝐺𝐿(3,𝑍[𝑡±1,𝑞±1]), where 𝑡 and 𝑞 are indeterminates. As it was done in the case of the braid group, 𝐵3, we specialize the indeterminates 𝑡 and 𝑞 to nonzero complex numbers ...
Mohammad N. Abdulrahim, Madline Al-Tahan
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A Graphical Calculus for Quantum Computing with Multiple Qudits using Generalized Clifford Algebras [PDF]
QuantumIn this work, we develop a graphical calculus for multi-qudit computations with generalized Clifford algebras, building off the algebraic framework developed in our prior work.
Robert Lin
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Attack on Kayawood protocol: uncloaking private keys
Journal of Mathematical Cryptology, 2020 We analyze security properties of a two-party key-agreement protocol recently proposed by I. Anshel, D. Atkins, D. Goldfeld, and P. Gunnels, called Kayawood protocol.
Kotov Matvei +2 more
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On the Unitary Representations of the Braid Group B6
Mathematics, 2019 We consider a non-abelian leakage-free qudit system that consists of two qubits each composed of three anyons. For this system, we need to have a non-abelian four dimensional unitary representation of the braid group B 6 to obtain a totally ...
Malak M. Dally, Mohammad N. Abdulrahim
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