Quantum Integration in Sobolev Classes
| dc.creator | Heinrich, Stefan | |
| dc.date | 2001-12-23 | |
| dc.date.accessioned | 2026-07-07T06:03:26Z | |
| dc.date.available | 2026-07-07T06:03:26Z | |
| dc.description | We study high dimensional integration in the quantum model of computation. We develop quantum algorithms for integration of functions from Sobolev classes $W^r_p([0,1]^d)$ and analyze their convergence rates. We also prove lower bounds which show that the proposed algorithms are, in many cases, optimal within the setting of quantum computing. This extends recent results of Novak on integration of functions from Hölder classes. | |
| dc.description | Paper submitted to the Journal of Complexity. 28 pages | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0112153 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0112153 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/89941 | |
| dc.subject | Quantum Physics | |
| dc.title | Quantum Integration in Sobolev Classes | |
| dc.type | text |