Work

Quantum phase estimation and the Aharonov-Bohm effect

Year: 2024

Type: article

Abstract: We consider the time evolution of a particle on a ring with a long solenoid through and show that due to the Aharonov-Bohm effect this system naturally makes up a physical implementation of the quantum phase estimation algorithm for a $\text{U}(1)$ unitary operator. The implementation of the full quantum phase estimation algorithm with a $\text{U}(N)$ unitary operator is realized through the non-Abelian Aharonov-Bohm effect. The implementation allows for a more physically intuitive understanding of the algorithm. As an example we use the path integral formulation of the implemented quantum phase estimation algorithm to analyze the classical limit $\ensuremath{\hbar}\ensuremath{\rightarrow}0$.

Source: Physical Review A

DOI: 10.1103/physreva.110.052426

Author: K. Splittorff

Institution: University of Copenhagen

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Novo Nordisk, Novo Nordisk Fonden

Award: G2259471922