Efficient Simulation of Loop Quantum Gravity: A Scalable Linear-Optical Approach

The problem of simulating complex quantum processes on classical computers gave rise to the field simulations. Quantum simulators solve problems, such as Boson sampling, where counterparts fail. In another physics, unification general relativity and theory is one greatest challenges our time. One leading approach Loop Gravity (LQG). Here, we connect these two fields design a linear-optical simulator that evolution optical gates simulates spinfoam amplitudes LQG. It has been shown computing transition in simple theories falls into class BQP -- which strongly suggests LQG are classically intractable. Therefore, efficiently computable with universal are, alas, possibly decades away. We propose here an alternative special-purpose computer, can be implemented using current technologies. This machine capable quantities. work opens new way relate gravity information will expand understanding theory.