Simulation of single-particle Schrodinger equation on quantum processor
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Date
2021
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UMT, Lahore
Abstract
Quantum computing uses superposition and entanglement to perform computation. During this project, we explored the basic quantum circuits, from a single qubit gate to Shor’s factoring algorithm, and implemented them on a quantum processor by using Qiskit. As a main avenue, we studied the Schrodinger equation of a single free particle (V(x) = 0) in one dimension on a quantum processor. In particular, we implemented a 2-qubit quantum simulation algorithm on Qiskit to solve the Schrodinger equation. We showed the time evolution of the state and explained the particle’s position in terms of probabilities for different qubit states.