Expansion of Reachable Sets by Zero-Operation Bases

This exploratory preprint analyzes how reachable regions in a four-state probability-distribution space depend on the available zero-operation rule basis. Starting from a Bell-type distribution, it compares symmetric and asymmetric operation bases, showing that mixed rules expand one-dimensional trajectories into higher-dimensional reachable regions, while symmetry constraints can prevent exact reachability of asymmetric targets. This is the fifth manuscript in a preprint series on zero-operation-based quantum computer theory.