Universal quantum gates
| dc.creator | Brylinski, Jean-Luc | |
| dc.creator | Brylinski, Ranee | |
| dc.date | 2001-08-13 | |
| dc.date.accessioned | 2026-07-07T06:02:34Z | |
| dc.date.available | 2026-07-07T06:02:34Z | |
| dc.description | In this paper we study universality for quantum gates acting on qudits.Qudits are states in a Hilbert space of dimension d where d is at least two. We determine which 2-qudit gates V have the properties (i) the collection of all 1-qudit gates together with V produces all n-qudit gates up to arbitrary precision, or (ii) the collection of all 1-qudit gates together with V produces all n-qudit gates exactly. We show that (i) and (ii) are equivalent conditions on V, and they hold if and only if V is not a primitive gate. Here we say V is primitive if it transforms any decomposable tensor into a decomposable tensor. We discuss some applications and also relations with work of other authors. | |
| dc.description | 10 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0108062 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0108062 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/89648 | |
| dc.subject | Quantum Physics | |
| dc.title | Universal quantum gates | |
| dc.type | text |