Journal
QUANTUM
Volume 5, Issue -, Pages 1-10Publisher
VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF
DOI: 10.22331/q-2021-06-29-485
Keywords
-
Funding
- German Research Foundation [EL710/2-1]
- Basque Government [IT986-16]
- Austrian Science Fund (FWF) through the START project [Y879-N27]
- MCIU/FEDER,UE [PGC2018-101355-B-100]
- Austrian Science Fund (FWF) through standalone project [P 31339N27]
Ask authors/readers for more resources
Geometric intuition is crucial for understanding physics concepts, with the Bloch ball being a paradigmatic example. While the state space of a three-level quantum system is complex, a three-dimensional model based on the Bloch representation can capture its essential geometric features.
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available