Inverse Problem of Alchemical Resource Theory: Replication and Universal Simulation Single Out Imaginarity and Parity Asymmetry
The research investigated which resource structures are compatible with exact self-replication and universal instrument programming for qubit single systems. By reversing the standard approach, it determined that only two free state structures survive: imaginarity and parity asymmetry. This dichotomy arises because the operational requirements generate a unitary-antiunitary constraint, forcing a specific geometric restriction on the resource states.