Eltschka, Christopher and Huber, Marcus and Morelli, Simon and Siewert, Jens (2021) The shape of higher-dimensional state space: Bloch-ball analog for a qutrit. QUANTUM, 5. pp. 1-10. ISSN 2521-327X,
Full text not available from this repository. (Request a copy)Abstract
Geometric intuition is a crucial tool to obtain deeper insight into many concepts of physics. A paradigmatic example of its power is the Bloch ball, the geometrical representation for the state space of the simplest possible quantum system, a two-level system (or qubit). However, already for a three-level system (qutrit) the state space has eight dimensions, so that its complexity exceeds the grasp of our three-dimensional space of experience. This is unfortunate, given that the geometric object describing the state space of a qutrit has a much richer structure and is in many ways more representative for a general quantum system than a qubit. In this work we demonstrate that, based on the Bloch representation of quantum states, it is possible to construct a three dimensional model for the qutrit state space that captures most of the essential geometric features of the latter. Besides being of indisputable theoretical value, this opens the door to a new type of representation, thus extending our geometric intuition beyond the simplest quantum systems.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | REPRESENTATION; VECTOR; CLASSIFICATION; MATRICES; SYSTEMS; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 16 Sep 2022 11:50 |
| Last Modified: | 16 Sep 2022 11:50 |
| URI: | https://pred.uni-regensburg.de/id/eprint/47583 |
Actions (login required)
 |
View Item |
