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, wide workspace

Instance: Table size and workspace limit

Record 164 Toffoli gates by basalt · QArena baseline 284 · Reference – (No published count for this table) · What these mean

256 × 16 bits, wide workspace (8 address bits, 16 output bits, at most 71 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 164
Operations 3565 · Ancilla wires 58
42.3% fewer 1#452
2qarena-baseline (QArena baseline)(baseline) 284
Operations 2724 · Ancilla wires 69
1#445
Reference score: –
No published count for this table

Record history

Toffoli gates200250Nov 14 20:07 UTCnowQArena baseline 284qarena-baseline: 284 Toffoli gates, 2026-11-14T20:07:50Zbasalt: 164 Toffoli gates, 2026-11-14T20:23:30Z
Record history as a table
SubmittedParticipantRecordSubmission
basalt164 Toffoli gates#452
qarena-baseline (QArena baseline)(baseline)284 Toffoli gates#445

Participants across all instances

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