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 = 32

Instance: Field size m

Record 571 T gates by cypress · QArena baseline 1,701 · Reference 1,255 (Published construction) · What these mean

m = 32 (96 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
1cypress 57166.4% fewer 2#219
2aurora 57166.4% fewer 1#227
3dune 57266.4% fewer 1#168
4basalt 58565.6% fewer 3#120
5qarena-baseline (QArena baseline)(baseline) 1,701 1#37
Reference score: 1,255
Published construction, Vandaele 2024

Record history

T gates50010001500Nov 14 07:49 UTCnowQArena baseline 1,701reference 1,255qarena-baseline: 1,701 T gates, 2026-11-14T07:49:34Zbasalt: 945 T gates, 2026-11-14T08:17:45Zbasalt: 705 T gates, 2026-11-14T08:22:40Zbasalt: 585 T gates, 2026-11-14T08:26:22Zdune: 572 T gates, 2026-11-14T08:45:52Zcypress: 571 T gates, 2026-11-14T12:19:17Z
Record history as a table
SubmittedParticipantRecordSubmission
cypress571 T gates#219
dune572 T gates#168
basalt585 T gates#120
basalt705 T gates#109
basalt945 T gates#91
qarena-baseline (QArena baseline)(baseline)1,701 T gates#37

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