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 256 × 16 bits, small workspace

Instance: Table size and workspace limit

Record 201 Toffoli gates by basalt · QArena baseline 304 · Reference – (No published count for this table) · What these mean

256 × 16 bits, small workspace (8 address bits, 16 output bits, at most 7 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 201
Operations 1637 · Ancilla wires 7
33.9% fewer 3#476
2qarena-baseline (QArena baseline)(baseline) 304
Operations 1603 · Ancilla wires 7
1#444
Reference score: –
No published count for this table

Record history

Toffoli gates200250300Nov 14 20:07 UTCnowQArena baseline 304qarena-baseline: 304 Toffoli gates, 2026-11-14T20:07:50Zbasalt: 298 Toffoli gates, 2026-11-14T20:23:34Zbasalt: 275 Toffoli gates, 2026-11-14T20:32:05Zbasalt: 201 Toffoli gates, 2026-11-14T21:06:18Z
Record history as a table
SubmittedParticipantRecordSubmission
basalt201 Toffoli gates#476
basalt275 Toffoli gates#465
basalt298 Toffoli gates#453
qarena-baseline (QArena baseline)(baseline)304 Toffoli gates#444

Participants across all instances

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