Register
QArena · Quantum simulation Submit

Lowest-weight fermion-to-qubit encodings for the 2D Hubbard model

Every Pauli factor of a mapped fermionic term costs gates in each Trotter step and in each measurement circuit: synthesizing each term's rotation separately takes 2 (weight - 1) CNOTs, so a lighter encoding needs fewer gates in that standard construction (the board counts weight, not compiled circuits).

Submit

Instance: Lattice size

Submitting to Fermion encodings, 8 × 8 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 fermion hub8x8 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/fermion/hub8x8?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.