Lecture Notes for 8.370/18.435 Quantum Computation from Fall 2022
Peter Shor
Lecture Notes
Here are the 2022 Lecture notes. I never got around to writing the notes for
Lecture 26 --- I may or may not do that at some point in the future.
Lecture 1
--- Introduction and History
Lecture 2
--- The Superposition Principle
Lecture 3
--- Unitary Evolution and the Bloch Sphere
Lecture 4
--- Quantum Measurements
Lecture 5
--- Joint Quantum Systems and Tensor Products
Lecture 6
--- More Tensor Products (Measurements of Joint Systems)
Lecture 7
--- Classical Boolean circuits
Lecture 8
--- Reversible Boolean circuits
Lecture 9
--- Quantum gates I
Lecture 10
--- Quantum gates II
Lecture 11
--- Quantum Teleportation
Lecture 12
--- Density Matrices I
Lecture 13
--- Density Matrices II
Lecture 14
--- The GHZ Experiment (theory)
Lecture 15
--- Quantum Optics and the GHZ Experiment
Lecture 16
--- The Deutsch-Jozsa Algorithm
Lecture 17
--- Classical computational complexity theory
Lecture 18
--- Simon's algorithm
Lecture 19
--- The quantum Fourier transform
Lecture 20
--- Phase Estimation
Lecture 21
--- Quantum factoring algorithm
Lecture 22
--- The Number Theory Needed for the Factoring Algorithm
Lecture 23
--- The Discrete Log Algorithm
Lecture 24
--- Grover's search algorithm
Lecture 25
--- Proof that Grover Search is Optimal
Lecture 26
--- Lecture on Hamiltonian Simulation; Notes Unwritten
Lecture 27
--- Introduction to Quantum error correcting codes --- the 9-qubit code
Lecture 28
--- More on the 9-qubit code
Lecture 29
--- The 7-qubit Quantum Hamming Code
Lecture 30
--- Quantum CSS Codes
Lecture 31
--- The BB84 Quantum Key Distribution Protocol and the Proof of Its Security