Quantum Information Theory

Classical mechanics

I am using the the book The theoretical minimum : what you need to know to start doing physics by Leonard Susskind and George Hrabovsky.

We are going to be using the SymPy classical mechanics package to solve some problems.

The nature of classical physics

• The nature of classical physics

Cellular automata

Cellular automata are physically motivated models of computation. They are systems with a translationally invariant state-space and a stroboscopic time-evolution.

• Is there a physically universal cellular automaton or Hamiltonian?

• A physically universal cellular automaton

• Visualization of a physically universal cellular automaton

• Does universal controllability of physical systems prohibit thermodynamic cycles?

Motion

• Motion

Dynamics

• Dynamics

Systems of more than one particle

• Systems of more than one particle

Energy

• Energy

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No slides/white board lectures

The principle of least action

• additional materials: Feynman lectures on the principle of least action

Symmetries and conservation laws

Hamiltonian mechanics and time-translation invariance

Phase space fluid and the Gibbs-Lioville theorem

Poisson brackets, angular momentum, and symmetries

Quantum mechanics

I cover quantum mechanics in finite-dimensional Hilbert spaces, quantum circuits, and quantum algorithms in the course Quantum computing.

Here I want to explain the transition from classical mechanics to quantum mechanics.

I am using the book Quantum mechanics : the theoretical minimum by Leonard Susskind and Art Friedman. I will also use other materials.