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Tutorials about Quantum Mechanics

Here’s a set of interactive activities for people studying quantum mechanics. If your professor sent you here, they can probably tell you which tutorial is most relevant for your class—but you’re always welcome to explore!

  • Spin Lab 1

    Investigate the phenomenon of “spin”, which is fundamentally quantum mechanical in nature.

  • Spin Lab 2

    Continue exploring spin, and practice with Dirac Notation.

  • Quantum Mouse Lab

    Connecting quantum state vectors with the 2D vectors you’re used to.
    The “Main” edition connects these concepts with quantum probabilities, and investigates the reasons one might change basis.
  • Visualizing a Vector in a Different Basis — Main Edition

    Connecting quantum state vectors with the 2D vectors you’re used to.
    The “Main” edition connects these concepts with quantum probabilities, and investigates the reasons one might change basis.
  • Visualizing a Vector in a Different Basis — Lite Edition

    Connecting quantum state vectors with the 2D vectors you’re used to.
    The “Lite” edition doesn’t discuss the connection with quantum probabilities or reasons for changing basis, but takes less time.
  • Quantum Mouse Lab 2

    Continue to explore eigenvalues, eigenstates, operators, and measurement.

  • Spins & Magnetic Fields

    What happens when a spin-½ particle passes through a region with a magnetic field?

  • Introduction to Quantum Gates

    Your first step in learning about quantum computing.

  • Quantum Circuit Diagrams

    Practice with single-qubit gates represented as circuit diagrams.

  • Quantum Cryptography

    Using quantum mechanics to encode information in a secret key, and to discover an eavesdropper on your communications.

  • Tensor Products

    Use the tensor product operation to describe systems with multiple qubits mathematically.

  • CNOT and Entanglement

    An introduction to the Controlled NOT (CNOT) gate and the related concept of entanglement.

  • EPR and Entanglement

    Investigate the uniquely quantum effect of entanglement, and apply it to cryptography.

  • Probability Amplitude: From Vectors to Functions

    Bridging between discrete vectors (such as those describing a particle’s spin state) and continuous wave functions (which might model a particle’s position state).

  • Energy & Position

    Explore the connection between the energy and position representations of a quantum state.

  • Time Dependence

    Visualize the time evolution of position space wave functions.

  • Reflecting on Transmission

    Explore the phenomena of reflection and transmission from 1D potential barriers.

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Thanks also to Bianca Cervantes, Alan Cortez, Jonan-Rohi Plueger, and Bethany Wilcox