Simple factorization of unitary transformations
We demonstrate a method for general linear optical networks that allows one to factorize any SU(n) matrix in terms of two SU(n-1) blocks coupled by an SU(2) entangling beam splitter. The process can be recursively continued in a straightforward way, ending in a tidy arrangement of SU(2) transformati...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/11995 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/11995 |
| Access Level: | acceso abierto |
| Palabra clave: | 535 Experimental realization Quantum computation Linear optics Matrices Interferometers Processor States SU(3) Óptica (Física) 2209.19 Óptica Física |
| Sumario: | We demonstrate a method for general linear optical networks that allows one to factorize any SU(n) matrix in terms of two SU(n-1) blocks coupled by an SU(2) entangling beam splitter. The process can be recursively continued in a straightforward way, ending in a tidy arrangement of SU(2) transformations. The method hinges only on a linear relationship between input and output states, and can thus be applied to a variety of scenarios, such as microwaves, acoustics, and quantum fields. |
|---|