Introduction to Quantum Information Processing
QIC 710, CS 768, CO 681, PHYS 767, AMATH 871, PMATH 871 (Fall 2021)
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Video lectures (click on any title to get a YouTube thumbnail for the lecture)
Part 1: A primer for beginners
Lecture 1: What is a qubit?
Duration 43:39 Slides: [pdf]
Lecture 2: Systems with multiple qubits
Duration 25:29 Slides: [pdf]
Lecture 3: Superdense coding and measurements involving multiple qubits
Duration 37:12 Slides: [pdf] Cutout for slide 11: [pdf]
Lecture 4: Teleportation and the question of copying quantum states
Duration 19:40 Slides: [pdf]
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Part 2: Quantum algorithms
Lecture 5: Quantum circuits and classical circuits as algorithms
Duration 28:36 Slides: [pdf]
Lecture 6: Simple quantum algorithms in the black box model
Duration 32:18 Slides: [pdf]
Lecture 7: Simon's problem
Duration 31:05 Slides: [pdf] Classical lower bound for slide 4: [pdf]
Lecture 8: The discrete log problem
Duration 38:44 Slides: [pdf] Supplementary: [pdf]
Lecture 9: Quantum Fourier transform
Duration 17:00 Slides: [pdf]
Lecture 10: The phase estimation problem
Duration 26:21 Slides: [pdf]
Lecture 11: Algorithms for order-finding and factoring
Duration 37:55 Slides: [pdf] Supplementary: [pdf]
Lecture 12: Grover's search algorithm
Duration 28:52 Slides: [pdf]
Lecture 13: Optimality of Grover's search algorithm
Duration 12:57 Slides: [pdf]
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Part 3: Quantum information theory
Lecture 14: Quantum states as density matrices
Duration 30:01 Slides: [pdf]
Lecture 15: State transitions via Kraus operators
Duration 32:39 Slides: [pdf]
Lecture 16: Stinespring form vs. Kraus form
Duration 25:54 Slides: [pdf]
Lecture 17: Distance measures between states
Duration 22:56 Slides: [pdf]
Lecture 18: Simple quantum error-correcting codes
Duration 27:13 Slides: [pdf]
Lecture 19: Calderbank-Shor-Steane codes
Duration 28:39 Slides: [pdf]
Lecture 20: Nonlocality
Duration 26:16 Slides: [pdf]
Lecture 21: Bell/CHSH inequality
Duration 22:37 Slides: [pdf]
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Lecture 22: (to be inserted)
Part 4: Quantum cryptography
Lecture 23: The BB84 key distribution scheme
Duration 28:36 Slides: [pdf]
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