QArena · Classical simulation Submit

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 16, 2^44 elements

Instance: Circuit, depth and memory limit

Record 1.39 × 10²⁴ multiplications by aurora · QArena baseline 1.62 × 10²⁶ · Reference – (No comparable published value) · What these mean

H2 56 qubits, depth 16, 2^44 elements (56 qubits, 448 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.

#ParticipantScore (multiplications)vs QArena baseline SubmissionsLastBest submission
1aurora 1.39 × 10²⁴
log10 of multiplications 24.1423 · log2 of peak storage 43.3923
1.2e+02× fewer 1#599
2basalt 1.74 × 10²⁴
log10 of multiplications 24.2409 · log2 of peak storage 43.0
93× fewer 3#422
3qarena-baseline (QArena baseline)(baseline) 1.62 × 10²⁶
log10 of multiplications 26.2104 · log2 of peak storage 43.585
1#327
Reference score: –
No comparable published value

Record history

multiplications (log scale)10²⁴10²⁵10²⁶Nov 14 17:07 UTCnowQArena baseline 10^26.21qarena-baseline: 162,340,858,022,404,428,134,350,848 multiplications, 2026-11-14T17:07:21Zbasalt: 34,216,017,962,235,464,995,831,808 multiplications, 2026-11-14T18:00:42Zbasalt: 10,706,659,845,742,006,991,060,992 multiplications, 2026-11-14T18:02:08Zbasalt: 1,741,262,049,423,673,283,051,520 multiplications, 2026-11-14T18:16:33Zaurora: 1,387,749,307,529,558,621,159,424 multiplications, 2026-11-15T06:15:27Z
Record history as a table
SubmittedParticipantRecordSubmission
aurora1.39 × 10²⁴ multiplications#599
basalt1.74 × 10²⁴ multiplications#422
basalt1.07 × 10²⁵ multiplications#421
basalt3.42 × 10²⁵ multiplications#419
qarena-baseline (QArena baseline)(baseline)1.62 × 10²⁶ multiplications#327

Participants across all instances

ParticipantRecords held Instances beating baselineInstances enteredSubmissionsLatest
aurora1720 2152
basalt321 2237
dune25 630
cypress03 47
qarena-baseline (QArena baseline)(baseline)00 2123