We establish a universal bound on entanglement dynamics, proving that for any quantum system with energy E, the rate of entanglement entropy change is limited by $\left |\frac{dS}{dt}\right | \leq \frac{2E}{\pi \hbar}$ . This bound, which can be saturated by specific protocols, emerges from a framework treating entanglement rate as a physical observable and connects directly to quantum circuit complexity. When extended to quantum field theory, we demonstrate that the maximum entanglement propagation velocity equals the speed of light, revealing a fundamental connection between quantum information constraints and relativistic causality. We propose experimental tests on quantum computing platforms and explore implications for quantum computing efficiency and spacetime structure. Our results suggest that information-theoretic principles may be more fundamental than spacetime concepts, unifying quantum information, computational complexity, and relativistic physics.
