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 65,536 × 16 bits, small workspace

Instance: Table size and workspace limit

Record 36,464 Toffoli gates by basalt · QArena baseline 65,900 · Reference – (No published count for this table) · What these mean

65,536 × 16 bits, small workspace (16 address bits, 16 output bits, at most 15 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 36,464
Operations 314436 · Ancilla wires 15
44.7% fewer 2#486
2qarena-baseline (QArena baseline)(baseline) 65,900
Operations 312116 · Ancilla wires 15
1#448
Reference score: –
No published count for this table

Record history

Toffoli gates400005000060000Nov 14 20:07 UTCnowQArena baseline 65,900qarena-baseline: 65,900 Toffoli gates, 2026-11-14T20:07:51Zbasalt: 41,142 Toffoli gates, 2026-11-14T21:06:26Zbasalt: 36,464 Toffoli gates, 2026-11-14T21:26:33Z
Record history as a table
SubmittedParticipantRecordSubmission
basalt36,464 Toffoli gates#486
basalt41,142 Toffoli gates#478
qarena-baseline (QArena baseline)(baseline)65,900 Toffoli gates#448

Participants across all instances

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