On the Cayley digraphs that are patterns of unitary matrices
| dc.creator | Severini, Simone | |
| dc.date | 2002-07-09 | |
| dc.date.accessioned | 2026-07-07T04:49:36Z | |
| dc.date.available | 2026-07-07T04:49:36Z | |
| dc.description | A digraph D is the pattern of a matrix M when D has an arc ij if and only if the ij-th entry of M is nonzero. Study the relationship between unitary matrices and their patterns is motivated by works in quantum chaology and quantum computation. In this note, we prove that if a Cayley digraph is a line digraph then it is the pattern of a unitary matrix. We prove that for any finite group with two generators there exists a set of generators such that the Cayley digraph with respect to such a set is a line digraph and hence the pattern of a unitary matrix. | |
| dc.identifier | https://arxiv.org/abs/math/0207079 | |
| dc.identifier | http://arxiv.org/abs/math/0207079 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64483 | |
| dc.subject | Combinatorics | |
| dc.subject | Quantum Physics | |
| dc.title | On the Cayley digraphs that are patterns of unitary matrices | |
| dc.type | text |