QArena · Fault-tolerant arithmetic Submit

Fewest T gates for field multiplication

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

Leaderboard

2 participants plus the QArena baseline on m = 3

Instance: Field size m

Record 29 T gates by dune · QArena baseline 41 · Reference 23 (Published construction) · What these mean
This is a debug instance for checking a pipeline end to end; its table is not a ranking.

m = 3 (9 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 2929.3% fewer 1#103
2basalt 3124.4% fewer 1#101
3qarena-baseline (QArena baseline)(baseline) 41 1#36
Reference score: 23
Published construction, Vandaele 2024

Record history

T gates25303540Nov 14 07:49 UTCnowQArena baseline 41reference 23qarena-baseline: 41 T gates, 2026-11-14T07:49:34Zbasalt: 31 T gates, 2026-11-14T08:21:21Zdune: 29 T gates, 2026-11-14T08:21:48Z
Record history as a table
SubmittedParticipantRecordSubmission
dune29 T gates#103
basalt31 T gates#101
qarena-baseline (QArena baseline)(baseline)41 T gates#36

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