#  Zijian Song (Stony Brook): A potential method for logical gates via anyon permutations 

 



####  calendar\_today Date and Time 

 **August 7, 2026** 

 11:00AM - 12:00PM EDT 

####  pin\_drop Location 

 **Jefferson 368**  



 

 



 

Speaker: Zijian Song

Title: A potential method for logical gates via anyon permutations

Abstract: We construct explicit constant-depth local unitary circuits that realize general anyon permutations in Kitaev's quantum double models. This construction admits a natural interpretation in terms of a correspondence between anyon permutation symmetries of two-dimensional topological orders and self-dualities in one-dimensional systems. This approach also provides a practical route to implementing logical gates on topological quantum codes in constant depth.



 

 



 

 

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