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This document explores qudit stabilizer codes, proving a direct relationship between the dimension of a qudit stabilizer code and the size of its stabilizer, establishing their duality. It presents an efficient algorithm to convert any qudit stabilizer into a standard form using Clifford gates, generalizing previous results that were limited to prime dimensions. The findings may enhance the construction of quantum error-correcting codes and encoding/decoding circuits for qudit systems.

Author

Robert Cullen

Language

EN