Fractal-Induced Decoherence Suppression in Chiral Lanthanide MOFs

I propose a novel theoretical framework and computational protocol for stabilizing  quantum spin coherence in molecular qubits by exploiting the self-similarity of fractal  geometries. While traditional Single-Molecule Magnets (SMMs) suffer from rapid  phonon-induced tunneling of magnetization (QTM), this research demonstrates that  embedding Dysprosium(III) centers within a fractalized Sierpiński-triangle-based  Metallo-Organic Framework (MOF) induces a “phonon bandgap” that suppresses spinlattice relaxation. Utilizing a hybrid High-Performance Computing (HPC) approach— where core Hamiltonian diagonalization is handled by optimized Fortran 90 kernels and  topological invariant analysis is driven by Python—we observe the emergence of a  topological protective phase. This “Chrono-Entanglement” effect allows for coherence  times (T_2) approaching the millisecond regime at liquid nitrogen temperatures. This  work provides the first logical proof that spatial fractal dimension (D_f) directly correlates with the suppression of under-barrier tunneling, offering a blueprint for the  next generation of room-temperature quantum sensors.