Quantum circuit complexity of primordial perturbations

We study the quantum circuit complexity of cosmological perturbations in different models early universe. A natural measure for is based on symplectic group, allowing us to identify with geodesics hyperbolic plane. investigate both mode functions and physical perturbations, arguing that latter often provides a more insightful description physics involved. In all total reached rather large. Inflationary may be represented by comparatively simple circuit, while during matter-dominated contracting phase present most rapid growth complexity. Ekpyrotic reside middle are distinguished smallest before horizon exit. Our analysis serves highlight how achieve same end result via routes show pronounced sensitivity initial conditions.