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High schoolers excel at Oxford quantum course using pictorial mathematics

Coecke, B., Kissinger, A., Gogioso, S. , Dündar-Coecke, S., Puca, C., Yeh, L., Waseem, M. H., Pothos, E. M. ORCID: 0000-0003-1919-387X, Pfaendler, S., Wang-Mascianica, V., Cervoni, T., Tomassini, F., Anandraj, V., Sigrist, P. & Khan, I. (2026). High schoolers excel at Oxford quantum course using pictorial mathematics. In: Journal of Physics: Conference Series. Basil Hiley Memorial Symposium, 30 Jun 2025, London, UK. doi: 10.1088/1742-6596/3189/1/012008

Abstract

We are at the dawn of the second quantum revolution, where our ability to create and control individual quantum systems is poised to drive transformative advancements in basic science, computation, and everyday life. However, quantum theory has long been conceived as notoriously hard to learn, creating a significant barrier to workforce development, informed decision-making by stakeholders and policymakers, and broader public understanding.

This paper is concerned with Quantum Picturalism [15], a novel visual mathematical language for quantum physics. Originally developed over two decades ago to explore the foundational structure of quantum theory [2], this rigorous diagrammatic framework has since been adopted in both academia and industry as a powerful tool for quantum computing research and software development. Here, we demonstrate its potential as a transformative educational methodology.

We report the findings from a pilot study involving 54 UK high school students [27], randomly selected from a pool of 734 volunteers across the UK. Despite the absence of advanced mathematical prerequisites, these students demonstrated a strong conceptual grasp of key quantum principles and operations. On an assessment comprising university graduate-level exam questions, participants achieved an 82% pass rate, with 48% obtaining a distinction-level grade.

These results pave the way for making quantum more inclusive, lowering traditional cognitive and demographic barriers to quantum learning. This approach has the potential to broaden participation in the field and provide a promising new entry point for stakeholders, future experts, and the general public.

Publication Type: Conference or Workshop Item (Paper)
Additional Information: © The Authors. Published by IOP. This is an open-access article distributed under the terms of Creative Commons: Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0/).
Subjects: L Education > LB Theory and practice of education > LB1603 Secondary Education. High schools
L Education > LB Theory and practice of education > LB2300 Higher Education
Q Science > QA Mathematics
Q Science > QC Physics
Departments: School of Health & Medical Sciences
School of Health & Medical Sciences > Department of Psychology & Neuroscience
SWORD Depositor:
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