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Cellular Algebras and Graph Invariants Based on Quantum Walks
classification
🧮 math.CO
quant-ph
keywords
cellulargraphinvariantsalgebraalgebrasquantumtimeassociate
read the original abstract
We consider two graph invariants inspired by quantum walks- one in continuous time and one in discrete time. We will associate a matrix algebra called a cellular algebra with every graph. We show that, if the cellular algebras of two graphs have a similar structure, then they are not distinguished by either of the proposed invariants.
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