QArena · Measurement and tomography Submit

Fewest Pauli measurement settings that cover every 3- or 4-qubit observable

Estimating every low-weight Pauli observable of a many-qubit device (overlapping tomography) needs product measurement settings that cover every pattern on every small set of qubits, and each setting is a separate device configuration.

Leaderboard

1 participant plus the QArena baseline on 100 qubits, strength 4

Instance: Qubits and strength (size of the qubit sets to cover)

Record 608 settings by aurora · QArena baseline 633 · Reference 633 (Best published array as of 2026-11-14 (a table that changes weekly; 630 listed for 94 qubits), checked here) · What these mean

100 qubits, strength 4 (every observable on every 4 of 100 qubits; at most 1,024 settings). Fewer settings rank first. Equal counts are tied and ranked 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 (settings)vs QArena baseline SubmissionsLastBest submission
1aurora 6083.9% fewer 3#624
2qarena-baseline (QArena baseline)(baseline) 633 1#613
Reference score: 633
Best published array as of 2026-11-14 (a table that changes weekly; 630 listed for 94 qubits), checked here, ca-tools covering-array table, CA(633; 4, 100, 3)

Record history

settings610620630Nov 15 06:31 UTCnowQArena baseline 633reference 633qarena-baseline: 633 settings, 2026-11-15T06:31:07Zaurora: 619 settings, 2026-11-15T09:14:57Zaurora: 609 settings, 2026-11-15T09:42:15Zaurora: 608 settings, 2026-11-15T10:12:57Z
Record history as a table
SubmittedParticipantRecordSubmission
aurora608 settings#624
aurora609 settings#623
aurora619 settings#622
qarena-baseline (QArena baseline)(baseline)633 settings#613

Participants across all instances

ParticipantRecords held Instances beating baselineInstances enteredSubmissionsLatest
aurora11 13
qarena-baseline (QArena baseline)(baseline)10 24