Quantum information spreading in random spin chains

We study the spreading of quantum correlations and information in a one-dimensional spin chain with critical disorder encoded an infinite randomness fixed point. Specifically, we focus on dynamics after quench R\'enyi entropies, mutual information, entanglement negativity prototypical XXZ random bonds anisotropy parameters. provide analytic predictions scaling regime based real-space renormalization-group methods. support these findings through numerical simulations noninteracting limit, where can access regime.