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 on m = 2

Instance: Field size m

Record 17 T gates by basalt · QArena baseline 21 · Reference 17 (Exhaustive search, not yet published) · What these mean
This is a debug instance for checking a pipeline end to end; its table is not a ranking.

m = 2 (6 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 1719.0% fewer 1#100
2dune 1719.0% fewer 1#102
3cypress 1719.0% fewer 1#110
4qarena-baseline (QArena baseline)(baseline) 21 1#35
Reference score: 17
Exhaustive search, not yet published, QArena design group

Record history

T gates1718192021Nov 14 07:49 UTCnowQArena baseline 21reference 17qarena-baseline: 21 T gates, 2026-11-14T07:49:34Zbasalt: 17 T gates, 2026-11-14T08:21:21Z
Record history as a table
SubmittedParticipantRecordSubmission
basalt17 T gates#100
qarena-baseline (QArena baseline)(baseline)21 T gates#35

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