Results 11 to 20 of about 2,228 (168)
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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New Construction of Blind Signatures From Braid Groups
IEEE Access, 2019 A new construction of a blind signature scheme based on braid groups is proposed. In the random oracle model, the proposed scheme is provably unforgeable against chosen message attacks, assuming that the one-more matching conjugate problem in braid ...
Licheng Wang +3 more
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Generalizations of the standard Artin representation are unitary
International Journal of Mathematics and Mathematical Sciences, 2005 We consider the Magnus representation of the image of the braid group under the generalizations of the standard Artin representation discovered by M. Wada.
Mohammad N. Abdulrahim
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The braided Heisenberg group [PDF]
Journal of Mathematical Physics, 1993 The braided groups and braided matrices B(R) for the solution R of the Yang–Baxter equation associated to the quantum Heisenberg group are computed. It is also shown that a particular extension of the quantum Heisenberg group is dual to the Heisenberg universal enveloping algebra Uq(h), and this result is used to derive an action of Uq(h) on the ...
Baskerville, W. K., Majid, S.
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