One dimensional Pöschl-Teller potential scattering as implemented in a quantum computing simulator

Authors

Walter S. Go ⋅ PH National Institute of Physics, University of the Philippines Diliman
Dharlene Kristina M. Rosete ⋅ PH National Institute of Physics, University of the Philippines Diliman
Red Christian F. Hernandez ⋅ PH National Institute of Physics, University of the Philippines Diliman
Cristine D. Villagonzalo ⋅ PH National Institute of Physics, University of the Philippines Diliman

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.

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Issue

2025: Proceedings of the 43rd Samahang Pisika ng Pilipinas Physics Conference

Entangled!
25-28 June 2025, National Institute of Physics, University of the Philippines Diliman

Please visit the SPP2025 activity webpage for more information on this year's Physics Congress.

Article ID

SPP-2025-1D-04

Section

Quantum Science and Technology

Published

2025-06-17

How to Cite

[1]

WS Go, DKM Rosete, RCF Hernandez, and CD Villagonzalo, One dimensional Pöschl-Teller potential scattering as implemented in a quantum computing simulator, Proceedings of the Samahang Pisika ng Pilipinas 43, SPP-2025-1D-04 (2025). URL: https://proceedings.spp-online.org/article/view/SPP-2025-1D-04.