QArena · Fault-tolerant arithmetic Submit

Fewest Toffoli gates for coherent table lookup

Table lookups are a large part of the cost of fault-tolerant chemistry and simulation algorithms, and Toffoli gates dominate that cost.

Leaderboard

1 participant plus the QArena baseline on 4,096 × 32 bits, small workspace

Instance: Table size and workspace limit

Record 2,410 Toffoli gates by basalt · QArena baseline 4,226 · Reference – (No published count for this table) · What these mean

4,096 × 32 bits, small workspace (12 address bits, 32 output bits, at most 11 workspace qubits). Fewer Toffoli gates rank first. Equal counts are ranked by fewer gates in total, then by fewer workspace qubits, then 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 (Toffoli gates)vs QArena baseline SubmissionsLastBest submission
1basalt 2,410
Operations 53888 · Ancilla wires 11
43.0% fewer 2#485
2qarena-baseline (QArena baseline)(baseline) 4,226
Operations 37839 · Ancilla wires 11
1#446
Reference score: –
No published count for this table

Record history

Toffoli gates2500300035004000Nov 14 20:07 UTCnowQArena baseline 4,226qarena-baseline: 4,226 Toffoli gates, 2026-11-14T20:07:51Zbasalt: 2,659 Toffoli gates, 2026-11-14T21:06:25Zbasalt: 2,410 Toffoli gates, 2026-11-14T21:26:30Z
Record history as a table
SubmittedParticipantRecordSubmission
basalt2,410 Toffoli gates#485
basalt2,659 Toffoli gates#477
qarena-baseline (QArena baseline)(baseline)4,226 Toffoli gates#446

Participants across all instances

ParticipantRecords held Instances beating baselineInstances enteredSubmissionsLatest
basalt66 613
qarena-baseline (QArena baseline)(baseline)00 67