Is the error correction of Steane code with PyMatching meaningful?

Is the error correction of Steane code with PyMatching meaningful? Ask Question Asked 7 days ago Modified 7 days ago Viewed 78 times 1 I am interested in QEC in quantum computer. By using Stim, I tried to correct errors in Steane code. Steane code is equivalent to the Color code in case, num_data_qubits = 7. There is an example code of the Color code in Stim/doc/getting-started.ipynb. Here is an example, ''' import stim import numpy as np import pymatching # ... circuit = stim.Circuit.generated( "color_code:memory_xyz", rounds=5, distance=3, before_round_data_depolarization=0.03, before_measure_flip_probability=0.01) detector_error_model = circuit.detector_error_model(decompose_errors=True) display(detector_error_model.diagram("matchgraph-svg")) # ... ''' This runs well without error messages. In that example, after matching procedure, the weighted edges graph has a closed triangle edges to specify a single qubit error. It is not an edge which comes from a pair wise nodes. Therefore if the PyMatching is limited to pair wise nodes, I wonder if the outcome of this example is meaningful? error-correctionstimpymatching Share Improve this question Follow edited Mar 9 at 5:49 Mert Gökduman 3942 2 silver badges 18 18 bronze badges asked Mar 9 at 2:51 Naohito Nakazawa 133 3 bronze badges @Mert Gökduman, thank you for your review. –  Naohito Nakazawa Commented Mar 9 at 5:57 Add a comment 1 Answer Sorted by: Highest score (default) Date modified (newest first) Date created (oldest first) 1 No, pymatching is not handling this case correctly. This is one of the problems with pymatching (in my opinion). When it sees an error mechanism it doesn't understand, it simply ignores that error. The data error on the central qubit, that has three detection events associated, is simply being ignored. It's failing silently instead of loudly. Share Improve this answer Follow answered Mar 9 at 19:46 Craig Gidney 51.2k1 1 gold badge 53 53 silver badges 133 133 bronze badges Thank you for your reply, @CraigGidney. –  Naohito Nakazawa Commented Mar 9 at 20:30 Add a comment Your Answer Sign up or log in Sign up using Google Sign up using Email and Password Post as a guest Name Email Required, but never shown Post Your Answer By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy. Start asking to get answers Find the answer to your question by asking. Ask question Explore related questions error-correctionstimpymatching See similar questions with these tags. The Overflow Blog Open source for awkward robots Domain expertise still wanted: the latest trends in AI-assisted knowledge for... 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