QArena · Fault-tolerant arithmetic Submit

Fewest T gates for field multiplication

Fewer T gates reduce the magic states needed for field multiplication.

Leaderboard

4 participants plus the QArena baseline and 1 imported published result on m = 10

Instance: Field size m

Record 149 T gates by basalt · QArena baseline 297 · Reference 196 (Published result, re-verified by QArena) · What these mean

m = 10 (30 qubits). Fewer T gates 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 (T gates)vs QArena baseline SubmissionsLastBest submission
1basalt 14949.8% fewer 6#284
2dune 15747.1% fewer 2#147
3aurora 16943.1% fewer 1#156
4cypress 18936.4% fewer 2#129
5ref-alphatensor-quantum (published result, imported)(imported) 19634.0% fewer 1#127
6qarena-baseline (QArena baseline)(baseline) 297 1#33
Reference score: 196
Published result, re-verified by QArena, AlphaTensor-Quantum

Record history

T gates150200250300Nov 14 07:49 UTCnowQArena baseline 297reference 196qarena-baseline: 297 T gates, 2026-11-14T07:49:34Zbasalt: 231 T gates, 2026-11-14T08:17:41Zbasalt: 179 T gates, 2026-11-14T08:22:37Zbasalt: 163 T gates, 2026-11-14T08:26:18Zdune: 157 T gates, 2026-11-14T08:38:51Zbasalt: 155 T gates, 2026-11-14T09:05:38Zbasalt: 151 T gates, 2026-11-14T14:46:22Zbasalt: 149 T gates, 2026-11-14T15:14:34Z
Record history as a table
SubmittedParticipantRecordSubmission
basalt149 T gates#284
basalt151 T gates#242
basalt155 T gates#182
dune157 T gates#147
basalt163 T gates#118
basalt179 T gates#107
basalt231 T gates#89
qarena-baseline (QArena baseline)(baseline)297 T gates#33

Participants across all instances

ParticipantRecords held Instances beating baselineInstances enteredSubmissionsLatest
basalt49 929
dune39 914
aurora19 914
cypress18 816
qarena-baseline (QArena baseline)(baseline)00 911
ref-alphatensor-quantum (published result, imported)(imported)00 77