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QC101 Quantum Computing & Intro to Quantum Machine Learning

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Math-Based Introduction to Quantum Computing, Cryptography & Quantum Machine Learning. Code with Python, Q#, & Qiskit


1 - Introduction
  • 1 - Introduction
  • 2 - How is Quantum Computing Different

  • 2 - Quantum Physics Through Photon Polarization
  • 3 - Introduction to Quantum Physics.html
  • 4 - Quantum Physics Through Photon Polarization 1
  • 5 - Quantum Physics Through Photon Polarization 2
  • 6 - Quantum Physics Through Photon Polarization 3
  • 7 - Quantum Physics Through Photon Polarization 4
  • 8 - Quantum Physics Through Photon Polarization 5
  • 9 - Quantum Physics Through Photon Polarization 6
  • 10 - Quantum Physics Through Photon Polarization 7
  • 11 - Quantum Physics Through Photon Polarization 8
  • 12 - Quantum Physics Through Photon Polarization 9
  • 13 - Quantum Physics Through Photon Polarization 10
  • 14 - Quantum Physics Through Photon Polarization 11
  • 15 - Quantum Physics Through Photon Polarization 12
  • 16 - Quantum Physics Through Photon Polarization 13
  • 17 - Quantum Physics Through Photon Polarization 14

  • 3 - Math Foundation Complex Numbers Probability Linear Algebra & Logic
  • 18 - Quantum Computing Through Math.html
  • 19 - Boolean Algebra
  • 20 - Boolean Variables and Operators
  • 21 - Truth Tables
  • 22 - Logic Gates
  • 23 - Logic Circuits
  • 24 - AND Gate
  • 25 - OR Gate
  • 26 - NOT Gate
  • 27 - Multiple Input Gates
  • 28 - Equivalent Circuits 1
  • 29 - Equivalent Circuits 2
  • 30 - Universal Gate NAND
  • 31 - Exclusive OR
  • 32 - XOR for Assignment
  • 33 - XOR of Bit Sequences 1
  • 34 - XOR of Bit Sequences 2
  • 35 - Introduction to Cryptography
  • 36 - Cryptography with XOR
  • 37 - Shared Secret
  • 38 - Importance of Randomness
  • 39 - Breaking the Code
  • 40 - Introduction to Probability
  • 41 - Probability of a Boolean Expression
  • 42 - Mutually Exclusive Events
  • 43 - Independent Events
  • 44 - Manipulating Probabilities With Algebra
  • 45 - P Mutually Exclusive Events
  • 46 - P Independent Events
  • 47 - Complete Set of MutEx Events
  • 48 - P A OR B
  • 49 - Examples
  • 50 - Examples
  • 51 - P Bit Values
  • 52 - Analysis With Venn Diagrams
  • 53 - Venn Diagram P A AND B
  • 54 - Venn Diagram P A OR B
  • 55 - Venn Diagram P NOT A
  • 56 - Examples
  • 57 - Examples
  • 58 - Conditional Probability
  • 59 - Examples
  • 60 - Introduction to Statistics
  • 61 - Random Variables
  • 62 - Mapping Random Variables
  • 63 - Mean Average Expected Value
  • 64 - Example
  • 65 - Example
  • 66 - Beyond Mean
  • 67 - Standard Deviation
  • 68 - Examples
  • 69 - Combinations of Random Variables
  • 70 - Correlation
  • 71 - Analysis of Correlation
  • 72 - Introduction to Complex Numbers
  • 73 - Imaginary i
  • 74 - Addition
  • 75 - Subtraction
  • 76 - Multiplication by a Real
  • 77 - Division by a Real
  • 78 - Complex Multiplication
  • 79 - Examples
  • 80 - Complex Conjugates
  • 81 - Squared Magnitude
  • 82 - Complex Division
  • 83 - Examples
  • 84 - Eulers Formula
  • 85 - Polar Form
  • 86 - Examples
  • 87 - Fractional Powers
  • 88 - Complex Cube Roots of 1
  • 89 - Square Root of i
  • 90 - 2D Coordinates
  • 91 - Matrices
  • 92 - Matrix Dimensions
  • 93 - Matrix Addition
  • 94 - Matrix Subtraction
  • 95 - Scalar Multiplication
  • 96 - Matrix Multiplication
  • 97 - Examples
  • 98 - Examples
  • 99 - 3x3 Example
  • 100 - Exercises
  • 101 - More Multiplications
  • 102 - When is Multiplication Possible
  • 103 - Example
  • 104 - Not Commutative
  • 105 - Associative and Distributive
  • 106 - Dimension of Result
  • 107 - Odd Shaped Matrices
  • 108 - Examples
  • 109 - Outer Product
  • 110 - Exercise
  • 111 - Inner Product
  • 112 - Exercises
  • 113 - Identity Matrix
  • 114 - Matrix Inverse
  • 115 - Transpose
  • 116 - Transpose Examples
  • 117 - Transpose of Product
  • 118 - Complex Conjugate of Matrices
  • 119 - Adjoint
  • 120 - Unitary
  • 121 - Hermitian
  • 122 - Hermitian and Unitary
  • 123 - Why Hermitian or Unitary
  • 124 - Vectors and Transformations
  • 125 - Rotation in 2D
  • 126 - Special Directions
  • 127 - Eigen Vectors and Eigen Values
  • 128 - More Eigen Vectors
  • 129 - Computing Eigen Values.html

  • 4 - Quantum Cryptography
  • 130 - Photons
  • 131 - Photon Polarization
  • 132 - Experiments with Photon Polarization
  • 133 - NoCloning Theorem
  • 134 - Encoding with XOR
  • 135 - Encryption with SingleUse SharedSecrets
  • 136 - Encoding Data in Photon Polarization
  • 137 - Making the Protocol Secure
  • 138 - Exchanging Polarization Angles
  • 139 - Why is the BB84 protocol secure
  • 140 - Analysis

  • 5 - Developing a Math Model for Quantum Physics
  • 141 - Modeling Physics with Math
  • 142 - Subtractive Probabilities Through Complex Numbers
  • 143 - Modeling Superposition Through Matrices
  • 144 - Overview of Math Model

  • 6 - Quantum Physics of Spin States
  • 145 - Introduction to Spin States
  • 146 - Basis
  • 147 - Column Matrix Representation of Quantum State
  • 148 - State Vector
  • 149 - Experiments with Spin 1
  • 150 - Experiments with Spin 2
  • 151 - Experiments with Spin 3

  • 7 - Modeling Quantum Spin States with Math
  • 152 - Analysis of Experiments 1
  • 153 - Analysis of Experiments 2
  • 154 - Analysis of Experiments 3
  • 155 - Dirac BraKet Notation 1
  • 156 - Dirac BraKet Notation 2
  • 157 - More Experiment Analysis 1
  • 158 - More Experiment Analysis 2
  • 159 - On Random Behavior

  • 8 - Reversible and Irreversible State Transformations
  • 160 - Irreversible Transformations Measurement
  • 161 - Reversible State Transformations

  • 9 - MultiQubit Systems
  • 162 - Analyzing MultiQubit Systems

  • 10 - Entanglement
  • 163 - Entanglement

  • 11 - Understanding Superposition and Entanglement With Quantum Simulators
  • 164 - Download the Simulator Code.html
  • 164 - simulator.zip
  • 165 - Installing Java and Running the Simulators
  • 166 - Launching the Superposition Simulator
  • 167 - Classical Photon
  • 168 - Quantum Photon
  • 169 - No Cloning
  • 170 - No Cloning
  • 171 - Measurement is Irreversible
  • 172 - Deterministic vs Probabilistic
  • 173 - Running the Simulator
  • 174 - Superposition 1
  • 175 - Superposition 2
  • 176 - Measurement and Superposition
  • 177 - Two Photon Systems
  • 178 - Entanglement
  • 179 - Simulating Entanglement 1
  • 180 - Simulating Entanglement 2
  • 181 - Simulating Entanglement 3
  • 182 - Simulating Entanglement 4
  • 183 - Independent Photons
  • 184 - Effect of Measurement
  • 185 - Summary.html

  • 12 - Quantum Computing Model
  • 186 - Quantum Circuits
  • 187 - Fanout
  • 188 - Uncomputing
  • 189 - Reversible Gates
  • 190 - Quantum NOT
  • 191 - Other Single Qubit Gates
  • 192 - CNOT Gate
  • 193 - CCNOT Toffoli Gate
  • 194 - Universal Gate
  • 195 - Fredkin Gate
  • 196 - Effects of Superposition and Entanglement on Quantum Gates

  • 13 - Quantum Programming with Microsoft Q
  • 197 - Q Qiskit or Cirq.html
  • 198 - Installing Q
  • 198 - QB4.zip
  • 199 - Reminder.html
  • 200 - Q Simulation Architecture
  • 201 - Q Controller
  • 202 - Q Execution Model
  • 203 - Measuring Superposition States
  • 204 - Overview of 4Qubit Simulation Framework
  • 205 - Set Operation
  • 206 - Iterative Measurement
  • 207 - Verifying Output after Initialization 1
  • 208 - Verifying Output after Initialization 2
  • 209 - NOT Operation
  • 210 - Superposition
  • 211 - SWAP
  • 212 - CNOT
  • 213 - Significance of Superposition and Entanglement
  • 214 - Effect of Superposition on Quantum Gates
  • 215 - Toffoli Gate General Configuration
  • 216 - Verifying Results.html
  • 217 - Toffoli Configured as NOT
  • 218 - Toffoli Configured as AND
  • 219 - Toffoli Configured as Fanout

  • 14 - IBM Quantum Experience
  • 220 - IBM Quantum Note.html
  • 221 - IBM Quantum Experience

  • 15 - Quantum Programming and Algorithms With IBM Qiskit
  • 222 - Qiskit Code Resources.html
  • 222 - resources.zip
  • 223 - What is Qiskit
  • 224 - Installing Python and Qiskit
  • 225 - Interactive Python
  • 226 - Jupyter Notebooks
  • 227 - Spyder Python IDE
  • 228 - Variables and Assignment
  • 229 - Data Types
  • 230 - Operators
  • 231 - Type Conversion
  • 232 - Strings
  • 233 - Lists
  • 234 - Dictionaries
  • 235 - Loops
  • 236 - Decisions
  • 237 - Functions
  • 238 - Object Oriented Programming
  • 239 - Exceptions
  • 240 - Modules
  • 241 - Quantum Circuits 1
  • 242 - Quantum Circuits 2
  • 243 - Quantum Circuits 3
  • 244 - Quantum Circuits 4
  • 245 - Quantum Circuits 5
  • 246 - Running a Circuit
  • 247 - Circuit Matrix
  • 248 - Implementing BB84 Cryptography
  • 249 - Shors Algorithm

  • 16 - Machine Learning Foundation
  • 250 - Introduction to Machine Learning
  • 251 - What is AI
  • 252 - Structure of ML Systems
  • 253 - Learning With Models
  • 254 - Speed Up Learning
  • 255 - Underfit & Overfit
  • 256 - Classification
  • 257 - Sigmoid Models
  • 258 - Regularization 1
  • 259 - Regularization 2
  • 260 - Machine Learning Libraries
  • 261 - Machine Learning Coding
  • 262 - MultiLayer Network 1
  • 263 - MultiLayer Network 2
  • 264 - Convolution 1
  • 265 - Convolution 2
  • 266 - Convolution 3
  • 267 - Recurrent

  • 17 - Quantum Machine Learning With Qiskit
  • 268 - Quantum Machine Learning with KNN
  • 268 - knn1.zip
  • 269 - KNN Problem Description
  • 270 - Code for Classical KNN
  • 271 - Code for Quantum KNN
  • 272 - Math for Classical KNN
  • 273 - Math Prerequisites for Quantum KNN
  • 274 - Math for Quantum KNN
  • 275 - Connecting Math and Code for Classical KNN
  • 276 - Connecting Math and Code for Quantum KNN
  • 277 - Introduction to Classification
  • 278 - Support Vector Machines Separation
  • 279 - Support Vector Machines Overfitting
  • 280 - Support Vector Machines Soft Margins
  • 281 - Support Vector Machines Higher Dimensions and Kernels
  • 282 - Support Vector Machines Multiple Classes
  • 283 - Quantum Support Vector Machines
  • 283 - qsvm.zip
  • 284 - Significance of Quantum Machine Learning
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