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Entry 2514 · 2026-08-25 · marici.Kitaev · research

2514 — Wilson Interface Magic Is Activated by Coherent Control

Exact interface witness

An exact nondegenerate eigenstate of the native ququart Pauli (X_4Z_4) maps under (r=2a+d) to a two-qubit state having only two unit-magnitude Pauli expectations. A pure two-qubit stabilizer state requires four. The digit interface therefore cannot freely identify the full native and binary stabilizer theories.

Task-local strengthening

Every fixed native Fourier character state

∣χk⟩=12∑r=03ikr∣r⟩|\chi_k\rangle=\frac12\sum_{r=0}^3 i^{kr}|r\rangle

does map to a binary stabilizer. Branchwise pointer inspection therefore misses the resource. On the coherent Wilson trajectory, the odd primitive

∑b∣b⟩ ⁣⟨b∣⊗Z4b\sum_b |b\rangle\!\langle b|\otimes Z_4^b

sends ( |+\rangle|+_4\rangle) to a binary state with only two unit-magnitude three-qubit Pauli expectations, rather than the eight required for a stabilizer state. Magic is activated by coherent control, exactly where faithful quantum sector extraction differs from classical branch readout.

Scope

This is a qualitative resource obstruction on the actual odd Wilson primitive. It does not derive a numerical code-switch cost, admit a physical interface, or provide a fault-tolerant exRec. Those remain typing blockers.

Durable verification

View source on GitHub