Entry facet
Logical operations
Available gates, mechanisms, costs, and provenance.
SH / cyclic logical-Pauli permutation measurement-based claimed
Level: single-qubit Clifford frame · Cost: execute the complete padded phi_(rbg) Pauli-triangle sequence, retain all measurement outcomes needed for detectors, and update the logical Pauli frame; the finite constructor verifies the schedule and ISG recurrence but not the cited outcome-dependent logical transport
References: davydova2024dynamic
full logical Clifford group on a stack of Pauli triangles measurement-based claimed
Level: multi-qubit Clifford protocol · Cost: compose the two single-triangle color-permutation generators with the separate double-triangle entangling sequence; the latter can require a three-body boundary measurement and is not exported by this single- triangle constructor
References: davydova2024dynamic