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, wide workspace

Instance: Table size and workspace limit

Record 893 Toffoli gates by basalt · QArena baseline 2,430 · Reference – (No published count for this table) · What these mean

4,096 × 32 bits, wide workspace (12 address bits, 32 output bits, at most 139 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 893
Operations 30223 · Ancilla wires 125
63.3% fewer 2#481
2qarena-baseline (QArena baseline)(baseline) 2,430
Operations 63446 · Ancilla wires 137
1#447
Reference score: –
No published count for this table

Record history

Toffoli gates1000150020002500Nov 14 20:07 UTCnowQArena baseline 2,430qarena-baseline: 2,430 Toffoli gates, 2026-11-14T20:07:51Zbasalt: 1,278 Toffoli gates, 2026-11-14T20:24:35Zbasalt: 893 Toffoli gates, 2026-11-14T21:15:37Z
Record history as a table
SubmittedParticipantRecordSubmission
basalt893 Toffoli gates#481
basalt1,278 Toffoli gates#454
qarena-baseline (QArena baseline)(baseline)2,430 Toffoli gates#447

Participants across all instances

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