Quantum Algorithms in the Quantum Mechanics Curriculum

2025/09/15 by Anna Liv Paludan Bjerregaard, Bjerregaard, Anna Liv Paludan, K. Splittorff +1
Computer Science · #Quantum Computing Algorithms and Architecture

paper · pdf · doi:10.48550/arxiv.2509.11893

Abstract

We provide an example of a quantum system which solves a numerical problem more efficiently than a classical computer. The example uses the Aharonov-Bohm effect, and can be integrated into standard quantum mechanics courses. The aim is to help students build a physical intuition for quantum algorithms.

Citations

• Grover's algorithm is an approximation of imaginary-time evolution
• Quantum Phase Estimation and the Aharonov-Bohm effect
• Synthesis and Observation of Non-Abelian Gauge Fields in Real Space
• Simulated Quantum Computation of Molecular Energies
• From Coupled Pendulums to Quantum Search
• Quantum algorithms revisited
• Appearance of Gauge Structure in Simple Dynamical Systems
• Significance of Electromagnetic Potentials in the Quantum Theory
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• Why haven't more quantum algorithms been found?

Related

• Introduction to Quantum Algorithms
• Solving a problem in the quantum way
• Basic Quantum Algorithms
• Quantum Algorithms
• Grover search algorithm