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 = 7

Instance: Field size m

Record 103 T gates by dune · QArena baseline 163 · Reference 104 (Published result, re-verified by QArena) · What these mean

m = 7 (21 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 10336.8% fewer 1#139
2aurora 10336.8% fewer 1#153
3basalt 10436.2% fewer 2#116
4ref-alphatensor-quantum (published result, imported)(imported) 10436.2% fewer 1#124
5cypress 10933.1% fewer 2#132
6qarena-baseline (QArena baseline)(baseline) 163 1#41
Reference score: 104
Published result, re-verified by QArena, AlphaTensor-Quantum

Record history

T gates100120140160Nov 14 07:49 UTCnowQArena baseline 163reference 104qarena-baseline: 163 T gates, 2026-11-14T07:49:54Zbasalt: 146 T gates, 2026-11-14T08:17:40Zbasalt: 104 T gates, 2026-11-14T08:26:18Zdune: 103 T gates, 2026-11-14T08:33:18Z
Record history as a table
SubmittedParticipantRecordSubmission
dune103 T gates#139
basalt104 T gates#116
basalt146 T gates#86
qarena-baseline (QArena baseline)(baseline)163 T gates#41

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