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This paper addresses the pedagogical challenge of building physical intuition for quantum algorithms by modeling Quantum Phase Estimation through a particle on a ring utilizing the Aharonov-Bohm effect. By grounding abstract computational steps in tangible physics, it offers educators and researchers a concrete framework to demystify how distinctively non-classical processes function within quantum circuits.

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Building intuition for Quantum Algorithms using the Aharonov-Bohm effect

arXivAugust 19, 20261 min read

arXiv:2509.11893v2 Announce Type: replace Abstract: Quantum computers operate in a manner so different from classical computers that our intuitions for understanding the process of quantum computation is challenged. This not only makes it hard to develop new quantum algorithms, it also makes quantum computation a difficult subject for students to enter. Here we show that the time evolution of a particle on a ring with a coil through performs the key quantum algorithm known as Quantum Phase Estimation. The example uses the Aharonov-Bohm effect, and the aim is to help students build a physical intuition for quantum algorithms.

Abstract:Quantum computers operate in a manner so different from classical computers that our intuitions for understanding the process of quantum computation is challenged. This not only makes it hard to develop new quantum algorithms, it also makes quantum computation a difficult subject for students to enter. Here we show that the time evolution of a particle on a ring with a coil through performs the key quantum algorithm known as Quantum Phase Estimation. The example uses the Aharonov-Bohm effect, and the aim is to help students build a physical intuition for quantum algorithms.

v1: 20 pages (main content is 12 pages), 6 figures. v2: 23 pages (main content is 18 pages), 6 figures. Substantial edits to the manuscript has been made between v1 and v2

arXiv:2509.11893 [quant-ph]

(or arXiv:2509.11893v2 [quant-ph] for this version)

Eur. J. Phys. (2026) 47 045402

https://doi.org/10.1088/1361-6404/ae85e7 DOI(s) linking to related resources

Full text under the publisher's open licence · 145 words

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