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Counting abelian squares efficiently for a problem in quantum computing...

by Ryan S Bennink
Publication Type
Journal
Journal Name
Journal of Combinatorics
Publication Date
Page Numbers
445 to 459
Volume
14
Issue
4

Abstract I describe how the number of abelian squares of given length relates to a certain problem in theoretical quantum computing, and I present a recursive formula for calculating the number of abelian squares of length t+t over an alphabet of size d. The presented formula is similar to previously known formula but has substantially lower complexity for large d, a key improvement resulting in a practical solution to the original application.