Product Decomposition of Periodic Functions in Quantum Signal Processing
We consider an algorithm to approximate complex-valued periodic functions $f(e^{i\theta})$ as a matrix element of a product of $SU(2)$-valued functions, which underlies so-called quantum signal processing. We prove that the algorithm runs in time $\mathcal O(N^3 \mathrm{polylog}(N/\epsilon))$ under...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2019-10-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2019-10-07-190/pdf/ |