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 random bits, wide workspace

Instance: Table size and workspace limit

Record 9,472 Toffoli gates by basalt · QArena baseline 33,480 · Reference – (No published count for this table) · What these mean

65,536 × 16 random bits, wide workspace (16 address bits, 16 output bits, at most 79 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 9,472
Operations 248042 · Ancilla wires 68
71.7% fewer 3#480
2qarena-baseline (QArena baseline)(baseline) 33,480
Operations 615756 · Ancilla wires 77
1#449
Reference score: –
No published count for this table

Record history

Toffoli gates100002000030000Nov 14 20:07 UTCnowQArena baseline 33,480qarena-baseline: 33,480 Toffoli gates, 2026-11-14T20:07:51Zbasalt: 18,508 Toffoli gates, 2026-11-14T20:32:04Zbasalt: 11,694 Toffoli gates, 2026-11-14T21:07:26Zbasalt: 9,472 Toffoli gates, 2026-11-14T21:14:34Z
Record history as a table
SubmittedParticipantRecordSubmission
basalt9,472 Toffoli gates#480
basalt11,694 Toffoli gates#479
basalt18,508 Toffoli gates#464
qarena-baseline (QArena baseline)(baseline)33,480 Toffoli gates#449

Participants across all instances

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