Noncyclic geometric changes of quantum states
| dc.creator | Kult, David | |
| dc.creator | Åberg, Johan | |
| dc.creator | Sjöqvist, Erik | |
| dc.date | 2005-12-06 | |
| dc.date | 2006-08-28 | |
| dc.date.accessioned | 2026-07-07T06:56:32Z | |
| dc.date.available | 2026-07-07T06:56:32Z | |
| dc.description | Non-Abelian quantum holonomies, i.e., unitary state changes solely induced by geometric properties of a quantum system, have been much under focus in the physics community as generalizations of the Abelian Berry phase. Apart from being a general phenomenon displayed in various subfields of quantum physics, the use of holonomies has lately been suggested as a robust technique to obtain quantum gates; the building blocks of quantum computers. Non-Abelian holonomies are usually associated with cyclic changes of quantum systems, but here we consider a generalization to noncyclic evolutions. We argue that this open-path holonomy can be used to construct quantum gates. We also show that a structure of partially defined holonomies emerges from the open-path holonomy. This structure has no counterpart in the Abelian setting. We illustrate the general ideas using an example that may be accessible to tests in various physical systems. | |
| dc.description | Extended version, new title, journal reference added | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0512045 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0512045 | |
| dc.identifier | Phys. Rev. A 74, 022106 (2006) | |
| dc.identifier | doi:10.1103/PhysRevA.74.022106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106675 | |
| dc.subject | Quantum Physics | |
| dc.title | Noncyclic geometric changes of quantum states | |
| dc.type | text |