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Fewest CNOTs for a flagged parity check

Error-correcting codes measure their high-weight checks over and over, and every CNOT of a check circuit is a place where a fault can occur. A cheaper flagged circuit for a weight-w check therefore makes syndrome extraction faster and less noisy for codes such as color codes and quantum LDPC codes.

Submit

Instance: Check weight and ancilla limit

Submitting to Flag gadgets, Weight 4, 2 ancillas

Sign in or register to submit.

Check your file first

  1. Download the verifier bundle and extract it. It contains the verifier, every instance file and an accepted example.

    Download verifier bundle

  2. Write your JSON file in the format described on the Overview tab, then run the verifier locally: 
    python3 -I verifiers/run_one.py flagcheck z04-t2-a2 my_file.json

Submit with the API

Create a token on your account page, then:

curl -sS -X POST -H "Authorization: Bearer $QARENA_TOKEN" --data-binary @my_file.json \
     "https://qarena.ai/api/v0/submit/flagcheck/z04-t2-a2?visibility=private"

Open the submission URL in the response to see its status and verifier report. Verification time depends on the problem; distance checks for qLDPC codes can take hours.