Non-Local Complex Reservoir Computing: Robust Information Storage via Antipodal Conjugate Symmetry

Standard Coupled Map Lattices (CMLs) and Reservoir Computing substrates typically rely on local diffusive coupling, rendering them vulnerable to catastrophic information loss when local states are perturbed5. This paper introduces a novel lattice architecture—the Polar Conjugate Lattice—which integrates complex-valued phase memory with non-local antipodal coupling6. By enforcing a global Conjugate-Position Symmetry constraint, the system links the real-valued state of a cell to the imaginary phase of its spatial mirror twin7. We demonstrate that this Symmetry-Protected Redundancy allows the system to recover from massive data deletion events (up to 5% grid loss) through deterministic restoration8. Simulation results show that the architecture achieves this resilience with $\mathcal{O}(N^{2})$ computational complexity, offering a scalable mechanism for fault-tolerant edge computing