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 on m = 16

Instance: Field size m

Record 267 T gates by dune · QArena baseline 567 · Reference 425 (Published construction) · What these mean

m = 16 (48 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 26752.9% fewer 1#167
2basalt 27351.9% fewer 3#119
3aurora 31145.1% fewer 1#157
4cypress 42025.9% fewer 1#93
5qarena-baseline (QArena baseline)(baseline) 567 1#34
Reference score: 425
Published construction, Vandaele 2024

Record history

T gates300400500Nov 14 07:49 UTCnowQArena baseline 567reference 425qarena-baseline: 567 T gates, 2026-11-14T07:49:34Zbasalt: 420 T gates, 2026-11-14T08:17:42Zbasalt: 329 T gates, 2026-11-14T08:22:37Zbasalt: 273 T gates, 2026-11-14T08:26:19Zdune: 267 T gates, 2026-11-14T08:45:52Z
Record history as a table
SubmittedParticipantRecordSubmission
dune267 T gates#167
basalt273 T gates#119
basalt329 T gates#108
basalt420 T gates#90
qarena-baseline (QArena baseline)(baseline)567 T gates#34

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