Results 1 to 10 of about 405,321 (199)
Block-encoding dense and full-rank kernels using hierarchical matrices: applications in quantum numerical linear algebra [PDF]
Quantum, 2022 Many quantum algorithms for numerical linear algebra assume black-box access to a block-encoding of the matrix of interest, which is a strong assumption when the matrix is not sparse. Kernel matrices, which arise from discretizing a kernel function k(x,x′
Quynh T. Nguyen, B. Kiani, S. Lloyd
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Semidefinite Programming in Quantum Information Science [PDF]
, 2023 Semidefinite programs (SDPs) are a class of optimisation problems that find application in numerous areas of physics, engineering and mathematics. Semidefinite programming is particularly suited to problems in quantum physics and quantum information ...
Paul Skrzypczyk, D. Cavalcanti
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Symmetries in Foundation of Quantum Theory and Mathematics [PDF]
Symmetry, 2020 In standard quantum theory, symmetry is defined in the spirit of Klein’s Erlangen Program—the background space has a symmetry group, and the basic operators should commute according to the Lie algebra of that group. We argue that the definition should be
F. Lev
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Mathematics, 2022 The perception that mathematics is difficult has always persisted. Nevertheless, mathematics is such an essential component of STEM education. Quantum technologies are already having enormous effects on our society, with advantages seen across a broad ...
Meng-Leong How
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A Quantum Algebra Approach to Multivariate Askey–Wilson Polynomials [PDF]
International mathematics research notices, 2018 We study matrix elements of a change of basis between two different bases of representations of the quantum algebra ${\mathcal{U}}_q(\mathfrak{s}\mathfrak{u}(1,1))$.
W. Groenevelt
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Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra: Type C [PDF]
Journal of Mathematics and Physics, 2019 An explicit isomorphism between the R-matrix and Drinfeld presentations of the quantum affine algebra in type A was given by Ding and Frenkel [Commun. Math. Phys. 156, 277–300 (1993)].
N. Jing, Ming Liu, A. Molev
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Survey of new applications of geometric algebra
Mathematical methods in the applied sciences, 2023 This survey introduces 101 new publications on applications of Clifford’s geometric algebras (GA) newly published during 2022 (until mid-January 2023).
E. Hitzer +3 more
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The Linear Algebra Curriculum Study Group (LACSG 2.0) Recommendations
Notices of the American Mathematical Society, 2022 May 2022 Notices of the aMericaN MatheMatical society 813 of linear algebra has led to the explosion of career opportunities in data science, signal processing, cryptography, computer science, and quantum computing.
Sepideh Stewart +8 more
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Quantum Technology for Economists [PDF]
Social Science Research Network, 2020 Research on quantum technology spans multiple disciplines: physics, computer science, engineering, and mathematics. The objective of this manuscript is to provide an accessible introduction to this emerging field for economists that is centered around ...
Isaiah Hull +3 more
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IEEE Access, 2021 Geometric Algebra (GA) has proven to be an advanced language for mathematics, physics, computer science, and engineering. This review presents a comprehensive study of works on Quaternion Algebra and GA applications in computer science and engineering ...
E. Bayro-Corrochano
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