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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

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

arXiv
Authors: Michel R. P. Planat, Anne-Céline Baboin, Metod Saniga

Year

2007

Paper ID

50260

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

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 Z2xZ3. 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 to be also present in the graphs/geometries characterizing two-qutrit and three-qubit Pauli operators' space and surmised to be exhibited by any other higher-level quantum system.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • 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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0705.2538 [2] arXiv https://arxiv.org/abs/0705.2538 [3] Publisher https://arxiv.org/abs/0705.2538

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