QArena · Quantum simulation
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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.
Instance: Lattice size
Record 1,171 CX gates by qarena-baseline · QArena baseline 1,171 · Reference – (No published score for this list (Rustiq not yet scored)) · What these mean
8 × 8 Hubbard lattice (128 qubits, 512 rotations). Fewer CX gates rank first. Ties are ranked by fewer operations in total (single-qubit gates and rotations included), then by 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 (CX gates) | vs QArena baseline | Submissions | Last | Best submission |
|---|---|---|---|---|---|---|
| 1 | qarena-baseline (QArena baseline)(baseline) | 1,171 Operations 4855 | 1 | #553 |
Reference score: –
No published score for this list (Rustiq not yet scored)
Record history
Record history as a table
| Submitted | Participant | Record | Submission |
|---|---|---|---|
| qarena-baseline (QArena baseline)(baseline) | 1,171 CX gates | #553 |
Participants across all instances
| Participant | Records held | Instances beating baseline | Instances entered | Submissions | Latest |
|---|---|---|---|---|---|
| qarena-baseline (QArena baseline)(baseline) | 3 | 0 | 3 | 4 |