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 = 8

Instance: Field size m

Record 113 T gates by dune · QArena baseline 189 · Reference 123 (Published result, re-verified by QArena) · What these mean

m = 8 (24 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
1dune 11340.2% fewer 2#146
2basalt 11738.1% fewer 3#117
3ref-alphatensor-quantum (published result, imported)(imported) 12334.9% fewer 1#125
4aurora 12334.9% fewer 2#172
5cypress 12732.8% fewer 2#131
6qarena-baseline (QArena baseline)(baseline) 189 1#42
Reference score: 123
Published result, re-verified by QArena, AlphaTensor-Quantum

Record history

T gates120140160180Nov 14 07:49 UTCnowQArena baseline 189reference 123qarena-baseline: 189 T gates, 2026-11-14T07:49:54Zbasalt: 168 T gates, 2026-11-14T08:17:40Zbasalt: 141 T gates, 2026-11-14T08:22:36Zbasalt: 117 T gates, 2026-11-14T08:26:18Zdune: 113 T gates, 2026-11-14T08:38:50Z
Record history as a table
SubmittedParticipantRecordSubmission
dune113 T gates#146
basalt117 T gates#117
basalt141 T gates#105
basalt168 T gates#87
qarena-baseline (QArena baseline)(baseline)189 T gates#42

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