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.
Downloads
Published
Issue
Section
License
By submitting their manuscript to the Samahang Pisika ng Pilipinas (SPP) for consideration, the Authors warrant that their work is original, does not infringe on existing copyrights, and is not under active consideration for publication elsewhere.
Upon acceptance of their manuscript, the Authors further agree to grant SPP the non-exclusive, worldwide, and royalty-free rights to record, edit, copy, reproduce, publish, distribute, and use all or part of the manuscript for any purpose, in any media now existing or developed in the future, either individually or as part of a collection.
All other associated economic and moral rights as granted by the Intellectual Property Code of the Philippines are maintained by the Authors.
