Dissecting the qutrit
arXiv:1208.2118 · doi:10.1088/1751-8113/46/3/035306
Abstract
To visualize a higher dimensional object it is convenient to consider its two-dimensional cross-sections. The set of quantum states for a three level system has eight dimensions. We supplement a recent paper by Goyal et al by considering the set of all possible two-dimensional cross-sections of the qutrit. Each such cross-section is bounded by a plane cubic curve.
12 pages, 4 figures