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Quantum computation, from first principles to complexity theory.

Explore all 22 lectures and 139 pages of the source notes in a responsive static site. Every original mathematical expression, circuit, diagram and proof is preserved visually, with page-by-page searchable extracted text.

22lectures
139original pages
OfflineHTML + CSS + math assets
$$|\psi\rangle=\alpha|0\rangle+\beta|1\rangle,\qquad |\alpha|^2+|\beta|^2=1$$

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LECTURE 01 · PDF PAGES 1–5

Overview of quantum information

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LECTURE 02 · PDF PAGES 6–13

Overview of quantum information (continued)

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LECTURE 03 · PDF PAGES 14–21

Superdense coding, quantum circuits, and partial measurements

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LECTURE 04 · PDF PAGES 22–27

Quantum Teleportation; Deutsch’s Algorithm

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LECTURE 05 · PDF PAGES 28–33

A simple searching algorithm; the Deutsch-Jozsa algorithm

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LECTURE 06 · PDF PAGES 34–38

Simon’s algorithm

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LECTURE 07 · PDF PAGES 39–47

Arithmetic/number-theoretic problems; reversible computation

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LECTURE 08 · PDF PAGES 48–54

Phase estimation

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LECTURE 09 · PDF PAGES 55–60

Phase estimation (continued); the quantum Fourier transform

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LECTURE 10 · PDF PAGES 61–65

Order finding

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LECTURE 11 · PDF PAGES 66–69

Order finding (continued); reducing factoring to order finding

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LECTURE 12 · PDF PAGES 70–75

Grover’s Algorithm

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LECTURE 13 · PDF PAGES 76–80

Grover’s Algorithm (continued)

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LECTURE 14 · PDF PAGES 81–87

Quantum information revisited

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LECTURE 15 · PDF PAGES 88–93

Quantum information revisited (continued)

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LECTURE 16 · PDF PAGES 94–101

Quantum error correction

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LECTURE 17 · PDF PAGES 102–108

General quantum errors; CSS codes

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LECTURE 18 · PDF PAGES 109–114

Quantum Key Distribution

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LECTURE 19 · PDF PAGES 115–119

Impossibility of Quantum Bit Commitment

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LECTURE 20 · PDF PAGES 120–125

Bell inequalities and nonlocality

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LECTURE 21 · PDF PAGES 126–132

Quantum communication complexity

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LECTURE 22 · PDF PAGES 133–139

Quantum computational complexity

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