Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review Physics Education Research

Effect of an introductory quantum physics course using experiments with heralded photons on preuniversity students’ conceptions about quantum physics

Philipp Bitzenbauer

Published Jul 22, 2021• 43 citations
Publisher

Abstract

We conducted a quasiexperimental study in order to investigate the effect of a teaching concept on quantum physics based on coincidence and correlation experiments with heralded photons on preuniversity students' conceptions of quantum physics (experimental group, N ¼ 150).We compare the results with the traditional curriculum's effect (control group, N ¼ 130) at German secondary schools using a questionnaire to assess students' conceptions of quantum physics adapted from the literature.The results show that students introduced to quantum physics using the quantum optics concept acquire conceptions of quantum physics that are significantly less influenced by classical mechanistic and deterministic conceptions than those of the control group.In more detail, correlation and principal component analysis results indicate that the conceptions acquired by experimental group students are more consistent than those of the control group students.

DOI
10.1103/physrevphyseducres.17.020103

Related papers

Pre-service physics teachers’ and physics students’ preferred descriptions of the concept of the photon in the context of quantum optics experiments

Aku Pajula, Maija Nousiainen, Ismo T. Koponen

Abstract Physics education research has revealed that students have multiple ways of understanding the concept of the photon and that students’ use of it is often incoherent and incomplete. In this study, we explore what kinds of statements pre-service physics teachers and university physics students choose on a multiple-choice questionnaire, designed to reveal students’ stances on three conceptual views of the photon (quantum state, quantum realistic, and naïve dualistic) in the context of quantum optical experiments. The questionnaire was conducted in a pre-post manner. The test group (pre-service physics teachers N = 13) attended an introductory quantum physics course which emphasised coherent use of natural language, and the control group (university physics students pre N = 33, post N = 25) attended a standard introductory course in quantum physics. Pre-test results show that both groups expressed incoherent use of the concept of the photon. The post-test results reveal that after teaching intervention, the test group showed significant improvement in the coherent use of the concept of the photon as a quantum state. The post-test results of the control group remained incoherent. The results show that paying attention to the coherent use of natural language in teaching quantum physics helps pre-service physics teachers to recognise and choose coherent expressions about the photon.

European Journal of Physics•May 5, 2026•0 citations

Pre-service physics teachers’ use of photon concept in the context of single-photon double-slit experiment

Aku Pajula, Maija Nousiainen, Ismo T. Koponen

Research in physics education has revealed that students often have incomplete and incoherent ways to use the concept of photon. Most researchers in science education recommend photons to be taken in a realistic sense as existing entities of quantum objects. Furthermore, in science education literature it is often claimed that realistic stance to photons also is preferred by physicists. Taken that photons in quantum theory of light invariably refer to quantized degrees of the freedom of an electromagnetic field it is questionable how one should introduce photons as entities without inadvertently supporting naïve particle-realism about photons, a well-known situation in introductory teaching of quantum theory of light. Fewer researchers suggest that photons should be understood as photon states, quantized degrees of freedom of electromagnetic field, as in contemporary quantum optics and quantum theory of light. Here, by using a questionnaire (a Likert-scale survey), we explore pre-service physics teachers’ preferences to use expressions that can be associated with either quanton or photon state views about photons in context of single-photon double-slit experiment. The questionnaire is administered in two stages (in the beginning and after a teaching sequence) during a pre-service physics teachers’ course addressing quantum optics and technology. Based on the analysis of the responses, we find that at the beginning of the course, the responses are scattered but in the final survey, clusters corresponding to use of photon state-based expressions become more consistent.

European Journal of Science and Mathematics Education•Dec 4, 2025•2 citations

Teaching quantum mechanics in secondary schools: A qubit-first learning path to Bell's inequalities

Alberto Carlini, Andrea Lanza, Dalida Monti +5 more

Teaching quantum mechanics at the secondary school level remains a major educational challenge. Traditional historical approaches often present the theory as a sequence of disconnected phenomena, requiring extensive prior knowledge of classical physics before students can appreciate the conceptual structure of quantum physics. In this work, we present the design, implementation, and evaluation of a curriculum based on the two state (qubit first) approach, in which the fundamental postulates of quantum mechanics are introduced through mathematically accessible two level systems and realized with light polarization. The curriculum integrates theoretical instruction, laboratory activities, a coherent progression grounded in the interactive simulations, and inquiry based learning into a coherent pathway that progresses from quantum states and superposition to entanglement and the experimental violation of Bell's inequalities. A distinctive feature of the project is the experimental realization of the violation of Bell's inequalities obtained in a newly established quantum optics laboratory in an Italian high school, where students performed, for the first time in Italy, an authentic Bell test using polarization-entangled photons. The same educational framework was adopted for in service teacher professional development courses. Learning outcomes were evaluated through mixed methods. Preliminary analysis indicates significant improvements in conceptual understanding, confidence in using mathematical formalism, and appreciation of the relationship between theory, experimentation, and the foundations of quantum mechanics. The proposed curriculum shows that two-state formalism and supported by real laboratory experiences enables secondary-school students to engage more meaningfully with both the conceptual foundations of quantum mechanics and their experimental verification.

physics.ed-phCross-listedarXiv:2610.29834•Oct 22, 2026•0 citations

Exploring Students' Conceptions of Quantum Entanglement Through Photon Polarization

Kristóf Tóth, Michael Brang, Fabian Hennig +6 more

For more details about the files, please open "readme.docx". Abstract This article reports an empirical study involving N = 82 secondary school students, exploring their conceptions of quantum entanglement. The study utilizes a teaching-learning sequence based on photon polarization, covering both single-photon and photon-pair entanglement. Adopting a mixed-methods approach, we analyzed student responses to a questionnaire using quantitative methods and qualitative content analysis. The findings reveal a fragmented knowledge structure among learners. Students demonstrated functional reasoning and competency with mathematical formalism, often anchoring their explanations in specific experimental contexts. However, they frequently reverted to classical, causal, or hidden-variable narratives when interpreting the nature of correlations. While students aligned with quantum perspectives regarding holism and non-separability, they exhibited persistent classical thinking regarding causal influence and interaction. We also observed that students often engaged in overgeneralization of cases of perfect correlation. We conclude that competence in formalism does not necessarily imply a coherent, quantum-consistent understanding. Consequently, we propose specific refinements to the educational material through a design-based methodology — such as the inclusion of partially entangled states and explicit contrasts between classical causation and quantum correlations — to better address deeply rooted classical intuitions and foster a coherent understanding of entanglement.

•Aug 18, 2026•0 citations

Research Studies on Learning Quantum Physics

Marisa Michelini, Alberto Stefanel

Quantum mechanics (QM) has taken on a paradigmatic role in how physics describes and builds new knowledge about the world. It also has a growing role in our society thanks to recent and rapid developments in the field of new quantum technologies. These are becoming increasingly important in our society, in the world of work and which will also decisively influence future socio-economic choices. Also for this reason QM has an increasing role in the education of young people and has been introduced in many different ways also in secondary school in all continents. The change in the theoretical and cultural frame has profound implications that are often not intuitive, which involve the appropriation of a specific way of thinking. Neither macroscopic phenomenology, nor intuition help, because there is no simple evidence of how quantum objects must be thought to interpret that unobservable microscopic world and for which we must enter another interpretative paradigm even if we want to limit ourselves to describe it. PER has carried out several studies on the learning of key concepts, on the learning nodes, the ways of reasoning, the difficulties of the students, their spontaneous ideas, according to two main strands: above all at university level, conceptual difficulties and misunderstandings often linked to a formal approach, which, moreover, underpins the very nature of the entities involved; at secondary school level in relation to how students acquire a quantum view of phenomena on the basis of specific approaches adopted to address QM. In particular, a vast literature, which has increased considerably and especially in relatively recent times, has studied how university students deal with certain concepts such as that of state, superposition, measurement in quantum mechanics rather than how quantum quantities evolve over time. These studies are based on the use of questionnaires that allow to explore different levels: the verbal, formal and representative one, with different representations (eg. wave function, Dirac notation), rather than different representative modes (eg. Graphs of probability amplitudes, or probability distributions). At the secondary school level, the most important studies on student learning were instead conducted evaluating the educational impact and outlining the learning paths of students who had followed formative activities based on differentiated innovative research-based educational paths. In particular, the learning outcomes were compared to those activated by proposals based on the historical reconstruction approach of quantum physics. This approach is privileged in traditional curricula and school texts and consequently in the ways of teachers approaching the topic. It was developed in schools with a narrative or descriptive dimension of solutions based on old physics of quanta for the interpretation of phenomena not explained by classical physics. The innovative approaches instead make use of contexts whose formal treatment is simple (quantum properties described in a two-state space such as polarization or spin) with the aid of simulations that compensate for the problem of students” limited mathematical-formal skills, avoiding any historical reference. In particular, there is a significant difference between the survey tools and the survey contexts in the high school environment compared to surveys conducted with university students. This paper presents a review of the research literature, focusing in particular on the learning processes of secondary school students and outlining how research perspectives have evolved.

•Mar 17, 2023•17 citations

A classical to quantum transition via key experiments

Ruediger Scholz, Susanne Weßnigk, Kim-Alessandro Weber

Abstract This paper presents an educational concept for promoting quantum teaching and learning via an educational structured quantum optical experiment. The experiment is designed to demonstrate the striking differences between classical physics and quantum physics, for example quantum interference of unbreakable photons (the ability of probabilities to interfere due to a phase sensitive superposition of states) and quantum nonlocality (there is no way to locate photonic states without a fundamental loss of information about the characteristics and a complete change of the state). For this proposal, we developed an experimental setup straightforward enough to be used in advanced physics courses even in secondary school student labs. To explain, or in a more quantum-semantic way, to interpret the experimental results quantitatively, we provide an appropriately rigorous quantum optical theory. Our model combines Laplace statistics (to access the statistical behaviour of photon counting) and basic vector calculus to calculate probabilities from the phase sensitivity of probability amplitudes. This article aims to contribute to further discussion and empirical research into novel teaching strategies for a more deeply conceptual approach to quantum theory.

European Journal of Physics•Apr 29, 2020•26 citations
We conducted a quasiexperimental study in order to investigate the effect of a teaching concept on quantum physics based on coincidence and correlation experiments with heralded photons on preuniversity students' conceptions of quantum physics (experimental group, N ¼ 150).We compare the results with the traditional curriculum's effect (control group, N ¼ 130) at German secondary schools using a questionnaire to assess students' conceptions of quantum physics adapted from the literature.The results show that students introduced to quantum physics using the quantum optics concept acquire conceptions of quantum physics that are significantly less influenced by classical mechanistic and deterministic conceptions than those of the control group.In more detail, correlation and principal component analysis results indicate that the conceptions acquired by experimental group students are more consistent than those of the control group students.
Abstract Physics education research has revealed that students have multiple ways of understanding the concept of the photon and that students’ use of it is often incoherent and incomplete. In this study, we explore what kinds of statements pre-service physics teachers and university physics students choose on a multiple-choice questionnaire, designed to reveal students’ stances on three conceptual views of the photon (quantum state, quantum realistic, and naïve dualistic) in the context of quantum optical experiments. The questionnaire was conducted in a pre-post manner. The test group (pre-service physics teachers N = 13) attended an introductory quantum physics course which emphasised coherent use of natural language, and the control group (university physics students pre N = 33, post N = 25) attended a standard introductory course in quantum physics. Pre-test results show that both groups expressed incoherent use of the concept of the photon. The post-test results reveal that after teaching intervention, the test group showed significant improvement in the coherent use of the concept of the photon as a quantum state. The post-test results of the control group remained incoherent. The results show that paying attention to the coherent use of natural language in teaching quantum physics helps pre-service physics teachers to recognise and choose coherent expressions about the photon.
Research in physics education has revealed that students often have incomplete and incoherent ways to use the concept of photon. Most researchers in science education recommend photons to be taken in a realistic sense as existing entities of quantum objects. Furthermore, in science education literature it is often claimed that realistic stance to photons also is preferred by physicists. Taken that photons in quantum theory of light invariably refer to quantized degrees of the freedom of an electromagnetic field it is questionable how one should introduce photons as entities without inadvertently supporting naïve particle-realism about photons, a well-known situation in introductory teaching of quantum theory of light. Fewer researchers suggest that photons should be understood as photon states, quantized degrees of freedom of electromagnetic field, as in contemporary quantum optics and quantum theory of light. Here, by using a questionnaire (a Likert-scale survey), we explore pre-service physics teachers’ preferences to use expressions that can be associated with either quanton or photon state views about photons in context of single-photon double-slit experiment. The questionnaire is administered in two stages (in the beginning and after a teaching sequence) during a pre-service physics teachers’ course addressing quantum optics and technology. Based on the analysis of the responses, we find that at the beginning of the course, the responses are scattered but in the final survey, clusters corresponding to use of photon state-based expressions become more consistent.
Teaching quantum mechanics at the secondary school level remains a major educational challenge. Traditional historical approaches often present the theory as a sequence of disconnected phenomena, requiring extensive prior knowledge of classical physics before students can appreciate the conceptual structure of quantum physics. In this work, we present the design, implementation, and evaluation of a curriculum based on the two state (qubit first) approach, in which the fundamental postulates of quantum mechanics are introduced through mathematically accessible two level systems and realized with light polarization. The curriculum integrates theoretical instruction, laboratory activities, a coherent progression grounded in the interactive simulations, and inquiry based learning into a coherent pathway that progresses from quantum states and superposition to entanglement and the experimental violation of Bell's inequalities. A distinctive feature of the project is the experimental realization of the violation of Bell's inequalities obtained in a newly established quantum optics laboratory in an Italian high school, where students performed, for the first time in Italy, an authentic Bell test using polarization-entangled photons. The same educational framework was adopted for in service teacher professional development courses. Learning outcomes were evaluated through mixed methods. Preliminary analysis indicates significant improvements in conceptual understanding, confidence in using mathematical formalism, and appreciation of the relationship between theory, experimentation, and the foundations of quantum mechanics. The proposed curriculum shows that two-state formalism and supported by real laboratory experiences enables secondary-school students to engage more meaningfully with both the conceptual foundations of quantum mechanics and their experimental verification.
For more details about the files, please open "readme.docx". Abstract This article reports an empirical study involving N = 82 secondary school students, exploring their conceptions of quantum entanglement. The study utilizes a teaching-learning sequence based on photon polarization, covering both single-photon and photon-pair entanglement. Adopting a mixed-methods approach, we analyzed student responses to a questionnaire using quantitative methods and qualitative content analysis. The findings reveal a fragmented knowledge structure among learners. Students demonstrated functional reasoning and competency with mathematical formalism, often anchoring their explanations in specific experimental contexts. However, they frequently reverted to classical, causal, or hidden-variable narratives when interpreting the nature of correlations. While students aligned with quantum perspectives regarding holism and non-separability, they exhibited persistent classical thinking regarding causal influence and interaction. We also observed that students often engaged in overgeneralization of cases of perfect correlation. We conclude that competence in formalism does not necessarily imply a coherent, quantum-consistent understanding. Consequently, we propose specific refinements to the educational material through a design-based methodology — such as the inclusion of partially entangled states and explicit contrasts between classical causation and quantum correlations — to better address deeply rooted classical intuitions and foster a coherent understanding of entanglement.
Quantum mechanics (QM) has taken on a paradigmatic role in how physics describes and builds new knowledge about the world. It also has a growing role in our society thanks to recent and rapid developments in the field of new quantum technologies. These are becoming increasingly important in our society, in the world of work and which will also decisively influence future socio-economic choices. Also for this reason QM has an increasing role in the education of young people and has been introduced in many different ways also in secondary school in all continents. The change in the theoretical and cultural frame has profound implications that are often not intuitive, which involve the appropriation of a specific way of thinking. Neither macroscopic phenomenology, nor intuition help, because there is no simple evidence of how quantum objects must be thought to interpret that unobservable microscopic world and for which we must enter another interpretative paradigm even if we want to limit ourselves to describe it. PER has carried out several studies on the learning of key concepts, on the learning nodes, the ways of reasoning, the difficulties of the students, their spontaneous ideas, according to two main strands: above all at university level, conceptual difficulties and misunderstandings often linked to a formal approach, which, moreover, underpins the very nature of the entities involved; at secondary school level in relation to how students acquire a quantum view of phenomena on the basis of specific approaches adopted to address QM. In particular, a vast literature, which has increased considerably and especially in relatively recent times, has studied how university students deal with certain concepts such as that of state, superposition, measurement in quantum mechanics rather than how quantum quantities evolve over time. These studies are based on the use of questionnaires that allow to explore different levels: the verbal, formal and representative one, with different representations (eg. wave function, Dirac notation), rather than different representative modes (eg. Graphs of probability amplitudes, or probability distributions). At the secondary school level, the most important studies on student learning were instead conducted evaluating the educational impact and outlining the learning paths of students who had followed formative activities based on differentiated innovative research-based educational paths. In particular, the learning outcomes were compared to those activated by proposals based on the historical reconstruction approach of quantum physics. This approach is privileged in traditional curricula and school texts and consequently in the ways of teachers approaching the topic. It was developed in schools with a narrative or descriptive dimension of solutions based on old physics of quanta for the interpretation of phenomena not explained by classical physics. The innovative approaches instead make use of contexts whose formal treatment is simple (quantum properties described in a two-state space such as polarization or spin) with the aid of simulations that compensate for the problem of students” limited mathematical-formal skills, avoiding any historical reference. In particular, there is a significant difference between the survey tools and the survey contexts in the high school environment compared to surveys conducted with university students. This paper presents a review of the research literature, focusing in particular on the learning processes of secondary school students and outlining how research perspectives have evolved.
Abstract This paper presents an educational concept for promoting quantum teaching and learning via an educational structured quantum optical experiment. The experiment is designed to demonstrate the striking differences between classical physics and quantum physics, for example quantum interference of unbreakable photons (the ability of probabilities to interfere due to a phase sensitive superposition of states) and quantum nonlocality (there is no way to locate photonic states without a fundamental loss of information about the characteristics and a complete change of the state). For this proposal, we developed an experimental setup straightforward enough to be used in advanced physics courses even in secondary school student labs. To explain, or in a more quantum-semantic way, to interpret the experimental results quantitatively, we provide an appropriately rigorous quantum optical theory. Our model combines Laplace statistics (to access the statistical behaviour of photon counting) and basic vector calculus to calculate probabilities from the phase sensitivity of probability amplitudes. This article aims to contribute to further discussion and empirical research into novel teaching strategies for a more deeply conceptual approach to quantum theory.