Block-encoding dense and full-rank kernels using hierarchical matrices: applications in quantum numerical linear algebra
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 $k(x,x')$, have a variety of applications in mathem...
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| Format: | Artigo |
| Sprache: | Inglês |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2022-12-01
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| Schriftenreihe: | Quantum |
| Online-Zugang: | https://quantum-journal.org/papers/q-2022-12-13-876/pdf/ |
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