Lectures on Quantum Hardware

These are notes developed over the last few years of teaching AP203 and AP228. They are intended for students who are trying to develop a deeper understanding of quantum theory as applied to hardware systems that use and manipulate entanglement.

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May 1st, 2025: Trying LaTeXML and CSS hacking with Claude. mm.. it's OK. Posted chapter 2. Uploaded pdf.

April 29th, 2025: This morning I started moving my course notes from LaTeX onto this website. My first attempt is to use pandoc to convert latex to HTML and then just include the HTML. Some things don't work ... I will deal with it later. Updated: Now I'm converting to markdown and then moving by hand. Works a bit better.

By Chapter:

Part 1: States and Dynamics
Chapter 1: Quantum States
Chapter 2: Transformations and Pictures
Chapter 3: A Single Qubit
Chapter 4: A Single Harmonic Oscillator
Chapter 5: Perturbation Theory
Chapter 6: Simplifying Hamiltonians

Part 2: Many Harmonic Oscillators
Chapter 7: Fields
Chapter 8: Atom-Photon Interactions

Part 3: Microwave and Photonic Circuits
Chapter 9: Analyzing Microwave Circuits
Chapter 10: Photonic Circuits

Part 4: Noise, Detection, Measurement
Chapter 11: Measurement and Quantum Operations
Chapter 12: Classical and Semi-classical Noise
Chapter 13: Quantum Noise and Signals
Chapter 14: Input-output theory

Part 5: Weakly Nonlinear Systems
Chapter 15: Parametric Amplifiers
Chapter 16: Optomechanical Measurements
Chapter 17: Linear Response and Quantum Fluctuation-Dissipation Theorem
Chapter 18: Quantum Transducers