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Introduction to Quantum Information Science Lecture Notes

Introduction to Quantum Information ScienceLecture NotesScott Aaronson1 Fall 20181 With crucial help from: Corey Ostrove and Paulo AlvesContentsPage1 Course Introduction and The ExtendedChurch-Turing Thesis72 Probability Theory and Quantum Linear Algebra Approach to Probability Theory ..153 Basic Rules of Quantum Quantum States and The Ket Notation .. Transforming Quantum States .. Quantum Interference .. and Relative Phase ..234 Quantum Gates and Circuits, Quantum Zenoand The Elitzur-Vaidman Quantum Gates .. Born Rule .. Properties of Quantum Gates and Measurements Quantum Circuit Notation .. Quantum Zeno Effect .. The Elitzur-Vaidman Bomb ..325 The Coin Problem, Distinguishability, Multi-Qubit Statesand The Coin Problem .. Distinguishability of Quantum States .. Multi-Qubit States and Operations .. Operations ..402 CONTENTS36 Mixed Mixed States .. Matrices .. of Density Matrices.

Lecture 1: Course Introduction and The Extended Church-Turing Thesis I Quantum Information Science is an inherently interdisciplinary eld (Physics,

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