XXXIX Workshop on Geometric Methods in Physics | 28.06-4.07.2020 |

IX School on Geometry and Physics | 22-26.06.2020 |

Home | First Announcement |
Travel and local information |
Lecturers (WGMP) Lecturers (SGP) |
Registration | Photos | Proceedings | Previous Workshops |

## Francisco Delgado## Geometry of $SU(2)$ decomposition of quantum information systemsComposed interacting quantum systems with Hilbert spaces of dimension $2^{2m}, m \in {\bf Z^+}$ could be represented on some convenient bases (normally of entangled states) then setting Hilbert sub-spaces of size two stating a $SU(2)$ decomposition in their dynamics (properly $U(1)^{2^{m}-1} \times SU(2)^{2^m}$). This dynamics can be understood as linked paths on $2^m$ Bloch spheres weakly related only via quantum entanglement. Such geometric representation admits several quantum control effects as Evolution loops, Exchange operations among others, exhibiting correlated paths on such sub-spaces. This work presents the last decomposition from a geometric point of view showing how it can be used as a grammar for quantum information almost free from the nature of the physical quantum system. |

Event sponsored by: | |||||

University of Bialystok |

Webpage by: Tomasz Golinski