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Syndrome Measurements Made Fault-Tolerant T Gates Deterministic
The construction applies to every stabilizer code of distance at least two in a suitable logical basis.
Summary
The construction applies to every stabilizer code of distance at least two in a suitable logical basis.
The proposed mechanism releases one stabilizer check to expose an extra logical qubit, applies two Pauli rotations, and uses syndrome measurement plus Clifford feed-forward to implement a deterministic logical T gate. The authors give two single-fault-tolerant circuits: a fixed 22-qubit construction and a Golay-code gate. Serial implementations with ancilla reuse require at most 33 and 32 physical qubits, respectively. The result is a theoretical circuit construction, not a reported hardware demonstration.
Why it matters
The construction applies to every stabilizer code of distance at least two in a suitable logical basis.
Limits and context
- The result is a theoretical circuit construction, not a reported hardware demonstration.
Key claims
The construction applies to every stabilizer code of distance at least two in a suitable logical basis.
Qualification: The result is a theoretical circuit construction, not a reported hardware demonstration.
Evidence: source-2026-09-25-012
Sources
- arXiv preprint 2609.29890arXiv · primary research
Corrections
No corrections have been recorded for this story.