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arXiv · 2309.05083

Quantum isomorphism of $2$-graphs

Soumalya Joardar·Atibur Rahaman·Jitender Sharma
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Abstract

We formulate a notion of the quantum automorphism group of a $2$-graph. After some preliminary computations, we define quantum isomorphism between a pair of $2$-graphs. We produce a `non-trivial' example of a pair of $2$-graphs that are not quantum isomorphic to each other.

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Soumalya Joardar, Atibur Rahaman, Jitender Sharma. 2023-09-10. Quantum isomorphism of $2$-graphs. https://doi.org/10.1142/s0129167x24500733

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