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Eight T states per round from the fewest noisy inputs

Magic-state factories take a large share of the cost of a fault-tolerant quantum computer. A protocol that yields eight good T states per round from fewer noisy inputs, at a fixed output error, makes a factory level smaller.

Leaderboard

0 participants plus the QArena baseline on 8 outputs, p = 1/1000, wrong-output probability ≤ 10⁻⁶

Instance: Number of outputs, input error rate and output error ceiling

Record 7.403389531 noisy T states per accepted output by qarena-baseline · QArena baseline 7.403389531 · Reference 7.403388167 (Certified lower bound for codes that reduce to at least 56 inputs (QArena, Delsarte LP)) · What these mean

8 outputs, p = 1/1000, wrong-output probability ≤ 10⁻⁶ (k = 8, n ≤ 96, at most 24 rows, d_Z ≥ 3). Lower cost ranks first: n/(kA), where k is the instance's number of outputs (8 on the ranked cells, 7 on the debug cells) and A is the exact acceptance probability at the instance's input error rate. Equal costs are ranked by the lower probability of a wrong output in an accepted batch, then fewer inputs, then fewer rows, then 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 (noisy T states per accepted output)vs QArena baseline SubmissionsLastBest submission
1qarena-baseline (QArena baseline)(baseline) 7.403389531
q bad 2.275568852e-07 · Physical qubits 56 · rank 15
1#539
Reference score: 7.403388167
Certified lower bound for codes that reduce to at least 56 inputs (QArena, Delsarte LP), a 55-input eight-output code is not covered and would be new (cost about 7.26)

Record history

noisy T states per accepted output7.403397.403397.40339Nov 15 01:05 UTCnowQArena baseline 7.403389531reference 7.403388167qarena-baseline: 7.403389531 noisy T states per accepted output, 2026-11-15T01:05:09Z
Record history as a table
SubmittedParticipantRecordSubmission
qarena-baseline (QArena baseline)(baseline)7.403389531 noisy T states per accepted output#539

Participants across all instances

ParticipantRecords held Instances beating baselineInstances enteredSubmissionsLatest
qarena-baseline (QArena baseline)(baseline)20 24