Geometric Interpretation of Code Switching: PG(2,2)→PG(3,2) Projective Envelopes, Transversal CCZ, and a Geometric Primitive for Grover’s Diffusion Operator
| Paper: 210 | Portfolio C — Quantum Hardware |
Abstract
Code switching from the Steane code (PG(2,2)) to the Reed-Muller code (PG(3,2)) is given a projective geometry interpretation. The Fano plane envelope provides a geometric primitive for the CCZ gate and Grover diffusion.