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DOE OSTI · 1971063

Counting abelian squares efficiently for a problem in quantum computing

Bennink, Ryan
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Abstract

Here, 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.

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97 MATHEMATICS AND COMPUTINGabelian squaresquantum circuit expressivenessquantum computingvariational methods

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Bennink, Ryan. 2023-04-14. Counting abelian squares efficiently for a problem in quantum computing. https://doi.org/10.4310/joc.2023.v14.n4.a3

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