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Quantum computing has received wide-spread attention lately due the possibility of a near-term breakthrough of quantum supremacy. This course acts as an introduction to the area of quantum computing.
Related publications (5)
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In this thesis we will present and analyze randomized algorithms for numerical linear algebra problems. An important theme in this thesis is randomized low-rank approximation. In particular, we will study randomized low-rank approximation of matrix functio ...
We describe a randomized algorithm for producing a near-optimal hierarchical off-diagonal low-rank (HODLR) approximation to an n × n matrix A, accessible only though matrix-vector products with A and AT. We prove that, for the rank-k HODLR approximation pr ...
Society for Industrial and Applied Mathematics2025
Low-rank approximation of a matrix function, f(A), is an important task in computational mathematics. Most methods require direct access to f(A), which is often considerably more expensive than accessing A. Persson and Kressner [SIAM J. Matrix Anal., 44 (2 ...
