Introduction to Quantum Physics

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The language of qubits and gates provides a simple and direct way of rigorously exploring the
foundational concepts of quantum physics. That is the starting point of this novel approach to
teaching quantum physics. Another point of departure is the simple treatment of quantum spin,
that allows this purely quantum system to be introduced early in the course. This leads naturally
to a discussion on how to manipulate quantum spin, as a qubit system, in the laboratory. The
resulting course is thus designed to be relevant not only to the physics undergraduate, but also to
the increasingly interdisciplinary group of undergraduates interested in nanotechnology and quantum
computation. We have posted below our material for the first half of an Intro to Quantum Physics
course. We have suggestions about how the course can then segue into a more traditional treatment
for the latter half of the semester.


  1. Outline, Superposition axiom, qubits, ket notation.
  2. Measurement axiom, two qubit systems.
  3. EPR paradox, Bell inequalities.
  4. Unitary evolution, quantum gates, no cloning theorem.
  5. Quantum teleportation.
  6. Hamiltonians, Schrodinger's equation.
  7. Uncertainty Principle.
  8. Energy, time dependence and the Schrodinger Equation.
  9. Particle in a box, hydrogen atom, commutators.
  10. Introduction to Spin.
  11. Spin Algebra, spin eigenvalues, Pauli Matrices.
  12. Spin resonance.
  13. Entangled spins.
  14. Atomic qubits, control and measurement.
  15. Photons as qubits.