Results 11 to 20 of about 267 (215)
Mathematics, 2023 In this paper, by introducing an isomorphism from the Mihailova subgroup of F2×F2 to the Mihailova subgroups of a braid group, we give an explicit presentation of Mihailova subgroups of a braid group.
Hanling Lin, Xiaofeng Wang, Min Li
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Key agreement protocol in Braid group representation level
Lietuvos Matematikos Rinkinys, 2021 In this paper the key agreement protocol is given and the applicationof it in Braid groups is suggested. The one way of protocol is being justified.
Povilas Tvarijonas +2 more
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Polyadic Braid Operators and Higher Braiding Gates
Universe, 2021 A new kind of quantum gates, higher braiding gates, as matrix solutions of the polyadic braid equations (different from the generalized Yang–Baxter equations) is introduced. Such gates lead to another special multiqubit entanglement that can speed up key
Steven Duplij, Raimund Vogl
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Growth Series of the Braid Monoid MB5 in Band Generators
Advances in Mathematical Physics, 2022 Growth series is an important invariant associated with group or monoid which classifies all the words of group or monoid. Therefore, the growth series of braid monoids and Hecke algebras in Artin’s generators is presented in many scholarly published ...
Muhammad Haleem Khan, Zaffar Iqbal
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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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Topological quantum computation on supersymmetric spin chains
Journal of High Energy Physics, 2023 Quantum gates built out of braid group elements form the building blocks of topological quantum computation. They have been extensively studied in SU(2) k quantum group theories, a rich source of examples of non-Abelian anyons such as the Ising (k = 2 ...
Indrajit Jana +3 more
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q-deformed rational numbers and the 2-Calabi–Yau category of type $A_{2}$
Forum of Mathematics, Sigma, 2023 We describe a family of compactifications of the space of Bridgeland stability conditions of a triangulated category, following earlier work by Bapat, Deopurkar and Licata. We particularly consider the case of the 2-Calabi–Yau category of the $A_2$
Asilata Bapat +2 more
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Applied Categorical Structures, 2013 We introduce and study a family of groups $\mathbf{BB}_n$, called the blocked-braid groups, which are quotients of Artin's braid groups $\mathbf{B}_n$, and have the corresponding symmetric groups $Σ_n$ as quotients. They are defined by adding a certain class of geometrical modifications to braids.
D. Maglia +2 more
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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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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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