QArena · Fault-tolerant arithmetic Submit

Fewest T gates for field multiplication

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

Leaderboard

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

Instance: Field size m

Record 39 T gates by basalt · QArena baseline 63 · Reference 39 (Published result, re-verified by QArena) · What these mean

m = 4 (12 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 3938.1% fewer 2#113
2ref-alphatensor-quantum (published result, imported)(imported) 3938.1% fewer 1#121
3aurora 3938.1% fewer 2#169
4dune 4528.6% fewer 1#136
5qarena-baseline (QArena baseline)(baseline) 63 1#38
Reference score: 39
Published result, re-verified by QArena, AlphaTensor-Quantum

Record history

T gates405060Nov 14 07:49 UTCnowQArena baseline 63reference 39qarena-baseline: 63 T gates, 2026-11-14T07:49:34Zbasalt: 47 T gates, 2026-11-14T08:23:14Zbasalt: 39 T gates, 2026-11-14T08:26:16Z
Record history as a table
SubmittedParticipantRecordSubmission
basalt39 T gates#113
basalt47 T gates#111
qarena-baseline (QArena baseline)(baseline)63 T gates#38

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