This page contains lecture notes for a couple of courses I've taught. They can be used freely, but please understand that they are just lecture notes and undoubtedly contain errors.
This page contains lecture notes for a couple of courses I've taught. They can be used freely, but please understand that they are just lecture notes and undoubtedly contain errors.
All 22 lectures in one file 
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Lecture 1  Mathematical preliminaries (part 1) 
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Lecture 2  Mathematical preliminaries (part 2) 
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Lecture 3  States, measurements, and channels 
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Lecture 4  Purifications and fidelity 
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Lecture 5  Naimark's theorem; characterizations of channels 
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Lecture 6  Further remarks on measurements and channels 
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Lecture 7  Semidefinite programming 
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Lecture 8  Semidefinite programs for fidelity and optimal measurements 
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Lecture 9  Entropy and compression 
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Lecture 10  Continuity of von Neumann entropy; quantum relative entropy 
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Lecture 11  Strong subadditivity of von Neumann entropy 
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Lecture 12  Holevo's theorem and Nayak's bound 
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Lecture 13  Majorization for real vectors and Hermitian operators 
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Lecture 14  Separable operators 
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Lecture 15  Separable mappings and the LOCC paradigm 
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Lecture 16  Nielsen's theorem on pure state entanglement transformation 
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Lecture 17  Measures of entanglement 
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Lecture 18  The partial transpose and its relationship to entanglement and distillation 
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Lecture 19  LOCC and separable measurements 
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Lecture 20  Channel distinguishability and the completely bounded trace norm 
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Lecture 21  Alternate characterizations of the completely bounded trace norm 
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Lecture 22  The finite quantum de Finetti theorem 
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All 22 lectures in one file 
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Lecture 1  Overview of quantum information 
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Lecture 2  Overview of quantum information (continued) 
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Lecture 3  Superdense coding; quantum circuits, and partial measurements 
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Lecture 4  Quantum teleportation; Deutsch's algorithm 
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Lecture 5  A simple searching algorithm; the DeutschJozsa algorithm 
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Lecture 6  Simon's algorithm 
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Lecture 7  Arithmetic/numbertheoretic problems; reversible computation 
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Lecture 8  Phase estimation 
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Lecture 9  Phase estimation (continued); the quantum Fourier transform 
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Lecture 10  Order finding 
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Lecture 11  Order finding (continued); reducing factoring to order finding 
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Lecture 12  Grover's algorithm 
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Lecture 13  Groverâ€™s Algorithm (continued) 
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Lecture 14  Quantum information revisited 
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Lecture 15  Quantum information revisited (continued) 
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Lecture 16  Quantum error correction 
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Lecture 17  General quantum errors; CSS codes 
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Lecture 18  Quantum key distribution 
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Lecture 19  Impossibility of quantum bit commitment 
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Lecture 20  Bell inequalities and nonlocality 
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Lecture 21  Quantum communication complexity 
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Lecture 22  Quantum computational complexity 
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