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
3 participants plus the QArena baseline on Sycamore 53 qubits, 18 cycles, 2^30 elements
Instance: Circuit, depth and memory limit
Record 1.74 × 10¹⁷ multiplications by aurora · QArena baseline 8.65 × 10²² · Reference – (No comparable published value) · What these mean
Sycamore 53 qubits, 18 cycles, 2^30 elements (53 qubits). 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 | 1.74 × 10¹⁷ log10 of multiplications 17.2396 · log2 of peak storage 29.585 | 5e+05× fewer | 4 | #522 | |
| 2 | basalt | 1.74 × 10¹⁷ log10 of multiplications 17.2396 · log2 of peak storage 29.585 | 5e+05× fewer | 3 | #489 | |
| 3 | dune | 1.74 × 10¹⁷ log10 of multiplications 17.2411 · log2 of peak storage 29.585 | 5e+05× fewer | 3 | #427 | |
| 4 | qarena-baseline (QArena baseline)(baseline) | 8.65 × 10²² log10 of multiplications 22.937 · log2 of peak storage 29.0224 | 2 | #47 |
Reference score: –
No comparable published value
Record history
Record history as a table
| Submitted | Participant | Record | Submission |
|---|---|---|---|
| aurora | 1.74 × 10¹⁷ multiplications | #522 | |
| basalt | 1.74 × 10¹⁷ multiplications | #489 | |
| aurora | 1.74 × 10¹⁷ multiplications | #431 | |
| dune | 1.74 × 10¹⁷ multiplications | #427 | |
| aurora | 1.76 × 10¹⁷ multiplications | #235 | |
| dune | 1.76 × 10¹⁷ multiplications | #223 | |
| dune | 1.94 × 10¹⁷ multiplications | #208 | |
| basalt | 1.90 × 10¹⁸ multiplications | #201 | |
| basalt | 7.83 × 10¹⁸ multiplications | #179 | |
| aurora | 8.32 × 10²⁰ multiplications | #177 | |
| qarena-baseline (QArena baseline)(baseline) | 8.65 × 10²² multiplications | #47 |
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 |