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A distributed blossom algorithm for minimum-weight perfect matching

E. C. Peterson, Peter J. Karalekas·October 25, 2022·DOI: 10.48550/arXiv.2210.14277
Computer Science

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Abstract

We describe a distributed, asynchronous variant of Edmonds’s exact algorithm for producing perfect matchings of minimum weight [Edm65a]. The development of this algorithm is driven by an application to online error correction in quantum computing, first envisioned by Fowler [FWH12]; we analyze the performance of our algorithm as applied to this domain in a sequel [PK].

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