Volume 41 - Instrumented XOR in a 2D KS-Family Substrate: Deterministic Certificate via Locked Injection - ROI Readout
Abstract
This volume demonstrates a deterministic, unit-test-gated realization of a 2-input XOR gate as instrumented computation in a scalar 2D Kuramoto–Sivashinsky (KS-family) substrate on a periodic domain. The notebook implements a pseudo-spectral ETDRK4 integrator with 2/3 dealiasing and locks a canonical configuration (dtype=float64; N=256; L=16.0; dt=0.01; ν=1.0). A required unstable-band guard verifies kmin=2π/L
Fields of Study & Subjects
Quantum and electron transport phenomena
Spectroscopy and Quantum Chemical Studies
Physics of Superconductivity and Magnetism
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 4 January 2026
- Language
- EN