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PreprintarXiv licencearXiv

The Quantum Cayley Graphs of the Kac-Paljutkin Quantum Group

  • Luca Junk
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Abstract

We study the quantum Cayley graphs associated with the Kac-Paljutkin quantum group. We determine which projections give rise to undirected, irreflexive and connected quantum graphs and classify them up to isomorphism. Their spectra and chromatic numbers are computed. For the special case of the projection p = I2 we also compute the associated quantum Cuntz-Krieger algebra.

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Cite

BibTeXRIS
BibTeX
@misc{junk2026quantum,
  title = {{The Quantum Cayley Graphs of the Kac-Paljutkin Quantum Group}},
  author = {Luca Junk},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.08307},
  eprint = {2610.08307},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.08307},
}
RIS
TY  - UNPB
TI  - The Quantum Cayley Graphs of the Kac-Paljutkin Quantum Group
AU  - Luca Junk
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.08307
UR  - https://arxiv.org/abs/2610.08307
AB  - We study the quantum Cayley graphs associated with the Kac-Paljutkin quantum group. We determine which projections give rise to undirected, irreflexive and connected quantum graphs and classify them up to isomorphism. Their spectra and chromatic numbers are computed. For the special case of the projection p = I_2 we also compute the associated quantum Cuntz-Krieger algebra.
ER  -