Multi-Line Geometry of Qubit–Qutrit and Higher-Order Pauli Operators

@article{Planat2008MultiLineGO,
  title={Multi-Line Geometry of Qubit–Qutrit and Higher-Order Pauli Operators},
  author={M. Planat and Anne-C'eline Baboin and M. Saniga},
  journal={International Journal of Theoretical Physics},
  year={2008},
  volume={47},
  pages={1127-1135}
}
Abstract The commutation relations of the generalized Pauli operators of a qubit–qutrit system are discussed in the newly established graph-theoretic and finite-geometrical settings. The dual of the Pauli graph of this system is found to be isomorphic to the projective line over the product ring $\mathcal{Z}_{2}\times\mathcal{Z}_{3}$ . A “peculiar” feature in comparison with two-qubits is that two distinct points/operators can be joined by more than one line. The multi-line property is shown… Expand

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