In this project, we use the model of digital quantum simulation to model the time evolution of a particle.
This will be accomplished through
- Modeling the motion of a single particle in 1-D
- Simulating Hamiltonian evolution
Lecture Notes by Peter Love Basic Techniques of Digital Quantum Simulation
Quantum Phase Estimation (Qiskit Textbook)
Preparing the discrete 1-D Gaussian Wave Function using the Kitaev-Webb Algorithm
Kitaev and Webb's paper describing the algorithm
Grover and Rudolph's paper describing how to prepare log-concave distributions