A quantum lower bound for the collision problem
| dc.creator | Kutin, Samuel | |
| dc.date | 2003-04-24 | |
| dc.date.accessioned | 2026-07-07T06:06:38Z | |
| dc.date.available | 2026-07-07T06:06:38Z | |
| dc.description | We extend Shi's 2002 quantum lower bound for collision in $r$-to-one functions with $n$ inputs. Shi's bound of $Ω((n/r)^{1/3})$ is tight, but his proof applies only in the case where the range has size at least $3n/2$. We give a modified version of Shi's argument which removes this restriction. | |
| dc.description | 6 pages Extension of work in quant-ph/0112086 | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0304162 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0304162 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/91044 | |
| dc.subject | Quantum Physics | |
| dc.title | A quantum lower bound for the collision problem | |
| dc.type | text |