QArena · Classical simulation
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Fewest multiplications for a random-circuit output amplitude
Find a tensor contraction plan with fewer multiplications under the memory limit.
Leaderboard
2 participants plus the QArena baseline on H2 56 qubits, depth 20, 2^48 elements
Instance: Circuit, depth and memory limit
Record 4.12 × 10²⁴ multiplications by aurora · QArena baseline 3.88 × 10²⁶ · Reference – (No comparable published value) · What these mean
H2 56 qubits, depth 20, 2^48 elements (56 qubits, 560 two-qubit gates). Fewer multiplications rank first. Equal counts are ranked 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 (multiplications) | vs QArena baseline | Submissions | Last | Best submission |
|---|---|---|---|---|---|---|
| 1 | aurora | 4.12 × 10²⁴ log10 of multiplications 24.6151 · log2 of peak storage 47.585 | 94× fewer | 2 | #616 | |
| 2 | basalt | 1.23 × 10²⁶ log10 of multiplications 26.0903 · log2 of peak storage 47.585 | 3.2× fewer | 1 | #451 | |
| 3 | qarena-baseline (QArena baseline)(baseline) | 3.88 × 10²⁶ log10 of multiplications 26.5891 · log2 of peak storage 47.585 | 1 | #329 |
Reference score: –
No comparable published value
Record history
Participants across all instances
| Participant | Records held | Instances beating baseline | Instances entered | Submissions | Latest |
|---|---|---|---|---|---|
| aurora | 17 | 20 | 21 | 52 | |
| basalt | 3 | 21 | 22 | 37 | |
| dune | 2 | 5 | 6 | 30 | |
| cypress | 0 | 3 | 4 | 7 | |
| qarena-baseline (QArena baseline)(baseline) | 0 | 0 | 21 | 23 |