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 = 5

Instance: Field size m

Record 59 T gates by basalt · QArena baseline 99 · Reference 59 (Published result, re-verified by QArena) · What these mean

m = 5 (15 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 5940.4% fewer 2#114
2ref-alphatensor-quantum (published result, imported)(imported) 5940.4% fewer 1#122
3aurora 5940.4% fewer 2#170
4dune 6534.3% fewer 1#137
5cypress 6732.3% fewer 2#134
6qarena-baseline (QArena baseline)(baseline) 99 1#39
Reference score: 59
Published result, re-verified by QArena, AlphaTensor-Quantum

Record history

T gates60708090100Nov 14 07:49 UTCnowQArena baseline 99reference 59qarena-baseline: 99 T gates, 2026-11-14T07:49:34Zbasalt: 91 T gates, 2026-11-14T08:17:39Zbasalt: 59 T gates, 2026-11-14T08:26:17Z
Record history as a table
SubmittedParticipantRecordSubmission
basalt59 T gates#114
basalt91 T gates#84
qarena-baseline (QArena baseline)(baseline)99 T gates#39

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