A. Burbanks

Quantum Gravity Simulation: Quantum simulation with a minimum length based on the generalised uncertainty principle

We present a recipe for simulating one-dimensional quantum systems for low and high energies with $L$ qubits within the framework of first quantisation. Assuming a minimum grid spacing $\Delta L$ in the finite-difference method, the generalised uncertainty principle (GUP) is derived analytically and shows distinct prop...