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In the module matching.py of PyMatching, it is possible to construct Matching objects to decode matching graphs using the minimum-weight perfect matching decoder. The decode() method returns the most probable correction and "The sum of the weights of the edges in the minimum-weight perfect matching".

Is it possible to get the matched nodes of the graph ?

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Currently you are correct that PyMatching outputs the edges in the solution, but not the pairs of detection events. You can find a valid pairing of in Python by tracing the paths between detection events using the edges in the solution, but I agree it would be nicer if a fast method for this was already provided in the API. This is a nice feature I'd like to add at some point, and I've just opened an issue for it on GitHub: https://github.com/oscarhiggott/PyMatching/issues/34

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    $\begingroup$ Update: Version 2.0 of PyMatching does now include pymatching.Matching.decode_to_matched_dets_array and pymatching.Matching.decode_to_matched_dets_dict methods, which output pairs of matched detection events in the solution: github.com/oscarhiggott/PyMatching/releases/tag/v2.0.0 $\endgroup$ Commented Oct 26, 2022 at 16:38

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