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Quantum Picturalism: Learning Quantum Theory in High School

2 points by westurner 2y ago

westurner 2y ago
"Quantum Picturalism: Learning Quantum Theory in High School - Lia Yeh" ZX-calculus https://youtube.com/watch?v=Je2I-Z74p7k& https://youtube.com/watch?v=Je2I-Z74p7k& "Quantum Picturalism: Learning Quantum Theory in High School" (2023) https://arxiv.org/abs/2312.03653 https://arxiv.org/abs/2312.03653 : > Abstract: Quantum theory is often regarded as challenging to learn and teach, with advanced mathematical prerequisites ranging from complex numbers and probability theory to matrix multiplication, vector space algebra and symbolic manipulation within the Hilbert space formalism. It is traditionally considered an advanced undergraduate or graduate-level subject. In this work, we challenge the conventional view by proposing "Quantum Picturalism" as a new approach to teaching the fundamental concepts of quantum theory and computation. We establish the foundations and methodology for an ongoing educational experiment to investigate the question "From what age can students learn quantum theory if taught using a diagrammatic approach?". We anticipate that the primary benefit of leveraging such a diagrammatic approach, which is conceptually intuitive yet mathematically rigorous, will be eliminating some of the most daunting barriers to teaching and learning this subject while enabling young learners to reason proficiently about high-level problems. We posit that transitioning from symbolic presentations to pictorial ones will increase the appeal of STEM education, attracting more diverse audience. Q12, QIS
- westurner 2y ago
  ZX-calculus: https://en.wikipedia.org/wiki/ZX-calculus https://en.wikipedia.org/wiki/ZX-calculus : > Generators: The building blocks or generators of the ZX-calculus are graphical representations of specific states, unitary operators, linear isometries, and projections in the computational basis |0⟩, |1⟩ and the Hadamard-transformed basis
dekhn 2y ago
The subject matter is too advanced for all but a very tiny fraction of high school students (who should be tracked into customized education anyway). Adding pictures doesn't help. Also they describe only one part of quantum theory. There is a ton of quantum chemistry and other things that are quantum, but don't deal with stuff like quantum teleportation, which frankly is fairly exotic for everybody but physics grad students and their advisors.
- westurner 2y ago
  It could be an elective if it teaches its own prereqs, right? Why not code instead? OTOH a QIS learning sequence: QuantumQ open source circuit puzzle game with no intro at all because amoebas, Cirq (SymPy) and QISkit tutorials with Python syntax, tequila abstractions and expectation values, and The Qubit Game to respect it the QC platform (though that's getting better all the times) QuantumQ: https://github.com/ray-pH/quantumQ https://github.com/ray-pH/quantumQ Quantum logic gate: https://en.wikipedia.org/wiki/Quantum_logic_gate https://en.wikipedia.org/wiki/Quantum_logic_gate Exercise: Implement a QuantumQ circuit puzzle level with Cirq or QISkit in a Jupyter notebook

2 points by westurner 2y ago

"Quantum Picturalism: Learning Quantum Theory in High School - Lia Yeh" ZX-calculus https://youtube.com/watch?v=Je2I-Z74p7k& https://youtube.com/watch?v=Je2I-Z74p7k& "Quantum Picturalism: Learning Quantum Theory in High School" (2023) https://arxiv.org/abs/2312.03653 https://arxiv.org/abs/2312.03653 : > Abstract: Quantum theory is often regarded as challenging to learn and teach, with advanced mathematical prerequisites ranging from complex numbers and probability theory to matrix multiplication, vector space algebra and symbolic manipulation within the Hilbert space formalism. It is traditionally considered an advanced undergraduate or graduate-level subject. In this work, we challenge the conventional view by proposing "Quantum Picturalism" as a new approach to teaching the fundamental concepts of quantum theory and computation. We establish the foundations and methodology for an ongoing educational experiment to investigate the question "From what age can students learn quantum theory if taught using a diagrammatic approach?". We anticipate that the primary benefit of leveraging such a diagrammatic approach, which is conceptually intuitive yet mathematically rigorous, will be eliminating some of the most daunting barriers to teaching and learning this subject while enabling young learners to reason proficiently about high-level problems. We posit that transitioning from symbolic presentations to pictorial ones will increase the appeal of STEM education, attracting more diverse audience. Q12, QIS

westurner 2y ago
ZX-calculus: https://en.wikipedia.org/wiki/ZX-calculus https://en.wikipedia.org/wiki/ZX-calculus : > Generators: The building blocks or generators of the ZX-calculus are graphical representations of specific states, unitary operators, linear isometries, and projections in the computational basis |0⟩, |1⟩ and the Hadamard-transformed basis

dekhn 2y ago

The subject matter is too advanced for all but a very tiny fraction of high school students (who should be tracked into customized education anyway). Adding pictures doesn't help. Also they describe only one part of quantum theory. There is a ton of quantum chemistry and other things that are quantum, but don't deal with stuff like quantum teleportation, which frankly is fairly exotic for everybody but physics grad students and their advisors.

westurner 2y ago
It could be an elective if it teaches its own prereqs, right? Why not code instead? OTOH a QIS learning sequence: QuantumQ open source circuit puzzle game with no intro at all because amoebas, Cirq (SymPy) and QISkit tutorials with Python syntax, tequila abstractions and expectation values, and The Qubit Game to respect it the QC platform (though that's getting better all the times) QuantumQ: https://github.com/ray-pH/quantumQ https://github.com/ray-pH/quantumQ Quantum logic gate: https://en.wikipedia.org/wiki/Quantum_logic_gate https://en.wikipedia.org/wiki/Quantum_logic_gate Exercise: Implement a QuantumQ circuit puzzle level with Cirq or QISkit in a Jupyter notebook