QArena · Measurement and tomography
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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.
Instance: Qubits and strength (size of the qubit sets to cover)
Record 27 settings by qarena-baseline · QArena baseline 27 · Reference 27 (Proved optimum) · What these mean
This is a debug instance for checking a pipeline end to end; its table is not a ranking.
4 qubits, strength 3 (debug) (every observable on 3 of 4 qubits; at most 512 settings; debug instance). 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.
| # | Participant | Score (settings) | vs QArena baseline | Submissions | Last | Best submission |
|---|---|---|---|---|---|---|
| 1 | qarena-baseline (QArena baseline)(baseline) | 27 | 1 | #611 |
Reference score: 27
Proved optimum, 3^3 lower bound, met by the linear array (a, b, c, a+b+c mod 3)
Record history
Record history as a table
| Submitted | Participant | Record | Submission |
|---|---|---|---|
| qarena-baseline (QArena baseline)(baseline) | 27 settings | #611 |
Participants across all instances
| Participant | Records held | Instances beating baseline | Instances entered | Submissions | Latest |
|---|---|---|---|---|---|
| aurora | 1 | 1 | 1 | 3 | |
| qarena-baseline (QArena baseline)(baseline) | 1 | 0 | 2 | 4 |