One dimensional Pöschl-Teller potential scattering as implemented in a quantum computing simulator
Abstract
The scattering of a quantum particle in one dimension from a Pöschl-Teller potential is demonstrated using a quantum simulator, Qiskit, consisting of 10 qubits. Solving the Schrödinger equation with this potential is implemented as the action on the qubits by Fourier transforms and diagonal operators represented as controlled-phase shift gates. Hence, a quantum algorithm is constructed that is capable of modulating the reflection and transmission of a quantum particle by varying the shape of the Pöschl-Teller potential using a single parameter λ. The results obtained from Qiskit are verified using symbolic architecture simulations.