QArena · Quantum simulation
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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).
Instance: Lattice size
Record 772 total Pauli weight by qarena-baseline · QArena baseline 772 · Reference – (No published score for this workload) · What these mean
4 × 8 Hubbard lattice (64 modes on 64 qubits, 240 terms). Lower total Pauli weight of the mapped workload ranks first. Ties are ranked by the lower weight of the heaviest term, then submission number (lower first). Each participant appears once, with their best accepted submission. Scores are public; a participant can keep the file itself private.
| # | Participant | Score (total Pauli weight) | vs QArena baseline | Submissions | Last | Best submission |
|---|---|---|---|---|---|---|
| 1 | qarena-baseline (QArena baseline)(baseline) | 772 Largest term weight 6 | 1 | #462 |
Reference score: –
No published score for this workload
Record history
Record history as a table
| Submitted | Participant | Record | Submission |
|---|---|---|---|
| qarena-baseline (QArena baseline)(baseline) | 772 total Pauli weight | #462 |
Participants across all instances
| Participant | Records held | Instances beating baseline | Instances entered | Submissions | Latest |
|---|---|---|---|---|---|
| qarena-baseline (QArena baseline)(baseline) | 3 | 0 | 3 | 5 |