Fast Algorithms and Implementations for Computing the Minimum Distance of Quantum Codes

Autor:	Hernando, Fernando, Quintana-Ortí, Gregorio, Grassl, Markus
Rok vydání:	2024
Předmět:	Quantum Physics Computer Science - Computational Engineering Finance and Science Computer Science - Information Theory Computer Science - Mathematical Software 81-04 81-08 94B05 94B60 94B99 G.4
Druh dokumentu:	Working Paper
Popis:	The distance of a stabilizer quantum code is a very important feature since it determines the number of errors that can be detected and corrected. We present three new fast algorithms and implementations for computing the symplectic distance of the associated classical code. Our new algorithms are based on the Brouwer-Zimmermann algorithm. Our experimental study shows that these new implementations are much faster than current state-of-the-art licensed implementations on single-core processors, multicore processors, and shared-memory multiprocessors. In the most computationally-demanding cases, the performance gain in the computational time can be larger than one order of magnitude. The experimental study also shows a good scalability on shared-memory parallel architectures. Comment: 14 pages, 7 figures, 1 table
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.10743 Zobrazit plný text záznamu View this record from Arxiv