An explicit family of unitaries with exponentially minimal length Pauli geodesics
| dc.creator | Huang, Wei | |
| dc.date | 2007-01-28 | |
| dc.date.accessioned | 2026-07-07T07:43:43Z | |
| dc.date.available | 2026-07-07T07:43:43Z | |
| dc.description | Recently, Nielsen et al have proposed a geometric approach to quantum computation. They've shown that the size of the minimum quantum circuits implementing a unitary U, up to polynomial factors, equals to the length of minimal geodesic from identity I through U. They've investigated a large class of solutions to the geodesic equation, called Pauli geodesics. They've raised a natural question whether we can explicitly construct a family of unitaries U that have exponentially long minimal length Pauli geodesics? We give a positive answer to this question. | |
| dc.description | 4 pages, accepted as poster presentation in QIP07 | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0701202 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0701202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122938 | |
| dc.subject | Quantum Physics | |
| dc.title | An explicit family of unitaries with exponentially minimal length Pauli geodesics | |
| dc.type | text |