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 = 6

Instance: Field size m

Record 77 T gates by basalt · QArena baseline 129 · Reference 77 (Published result, re-verified by QArena) · What these mean

m = 6 (18 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 7740.3% fewer 3#115
2ref-alphatensor-quantum (published result, imported)(imported) 7740.3% fewer 1#123
3aurora 7740.3% fewer 2#171
4dune 8137.2% fewer 1#138
5cypress 8335.7% fewer 2#133
6qarena-baseline (QArena baseline)(baseline) 129 1#40
Reference score: 77
Published result, re-verified by QArena, AlphaTensor-Quantum

Record history

T gates80100120Nov 14 07:49 UTCnowQArena baseline 129reference 77qarena-baseline: 129 T gates, 2026-11-14T07:49:34Zbasalt: 105 T gates, 2026-11-14T08:17:40Zbasalt: 93 T gates, 2026-11-14T08:22:36Zbasalt: 77 T gates, 2026-11-14T08:26:17Z
Record history as a table
SubmittedParticipantRecordSubmission
basalt77 T gates#115
basalt93 T gates#104
basalt105 T gates#85
qarena-baseline (QArena baseline)(baseline)129 T gates#40

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