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Fewest CX gates for a Hubbard Trotter step of Pauli rotations

On current hardware, two-qubit gates take most of the time and cause most of the errors of a Hamiltonian-simulation circuit. A product-formula step is repeated many times, so a CX saved in one step is saved in every step.

Submit

Instance: Lattice size

Submitting to Pauli rotation networks, 6 × 6 Hubbard lattice

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 pnet pn-hub6 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/pnet/pn-hub6?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.