Realizing Logical Diagonal Gates via Transversal Physical $Z$-Rotations in CSS Codes
A theoretical paper on arXiv presents a construction for realizing logical diagonal gates in CSS quantum error-correcting codes by applying Z-rotations transversally to the physical qubits. It focuses on mapping physical rotation angles to logical Z-rotations in a fault-tolerant way.
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What this could mean
- 0–2 yearsPlausible
Superconducting and trapped-ion platforms could use this scheme to demonstrate fault-tolerant logical S or T gates in small CSS codes within two years, reducing overhead compared with magic-state distillation.
Those platforms already implement precise single-qubit Z-rotations and are testing small CSS codes; the construction converts the problem into choosing and calibrating physical rotation angles rather than building new hardware or magic-state factories.
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