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Премиум
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    Introduction
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    How is Quantum Computing Different?
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    Quantum Physics Through Photon Polarization 1
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    Quantum Physics Through Photon Polarization 2
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    Quantum Physics Through Photon Polarization 3
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    Quantum Physics Through Photon Polarization 4
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    Quantum Physics Through Photon Polarization 5
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    Quantum Physics Through Photon Polarization 6
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    Quantum Physics Through Photon Polarization 7
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    Quantum Physics Through Photon Polarization 8
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    Quantum Physics Through Photon Polarization 9
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    Quantum Physics Through Photon Polarization 10
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    Quantum Physics Through Photon Polarization 11
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    Quantum Physics Through Photon Polarization 12
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    Quantum Physics Through Photon Polarization 13
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    Quantum Physics Through Photon Polarization 14
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    Boolean Algebra
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    Boolean Variables and Operators
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    Truth Tables
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    Logic Gates
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    Logic Circuits
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    AND Gate
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    OR Gate
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    NOT Gate
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    Multiple Input Gates
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    Equivalent Circuits 1
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    Equivalent Circuits 2
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    Universal Gate NAND
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    Exclusive OR
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    XOR for Assignment
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    XOR of Bit Sequences 1
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    XOR of Bit Sequences 2
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    Introduction to Cryptography
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    Cryptography with XOR
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    Shared Secret
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    Importance of Randomness
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    Breaking the Code
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    Introduction to Probability
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    Probability of a Boolean Expression
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    Mutually Exclusive Events
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    Independent Events
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    Manipulating Probabilities With Algebra
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    P (Mutually Exclusive Events)
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    P (Independent Events)
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    Complete Set of MutEx Events
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    P ( A OR B )
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    Examples 1
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    Examples 2
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    P ( Bit Values )
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    Analysis With Venn Diagrams
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    Venn Diagram : P (A AND B)
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    Venn Diagram : P (A OR B)
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    Venn Diagram : P ( NOT A )
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    Examples 1
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    Examples 2
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    Conditional Probability
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    Examples
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    Introduction to Statistics
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    Random Variables
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    Mapping Random Variables
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    Mean, Average, Expected Value, ...
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    Example 1
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    Example 2
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    Beyond Mean
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    Standard Deviation
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    Examples
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    Combinations of Random Variables
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    Correlation
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    Analysis of Correlation
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    Introduction to Complex Numbers
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    Imaginary i
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    Addition
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    Subtraction
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    Multiplication by a Real
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    Division by a Real
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    Complex Multiplication
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    Examples
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    Complex Conjugates
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    Squared Magnitude
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    Complex Division
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    Examples
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    Euler's Formula
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    Polar Form
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    Examples
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    Fractional Powers
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    Complex Cube Roots of 1
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    Square Root of i
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    2D Coordinates
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    Matrices
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    Matrix Dimensions
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    Matrix Addition
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    Matrix Subtraction
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    Scalar Multiplication
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    Matrix Multiplication
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    Examples 1
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    Examples 2
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    3x3 Example
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    Exercises
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    More Multiplications
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    When is Multiplication Possible?
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    Example
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    Not Commutative
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    Associative and Distributive
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    Dimension of Result
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    Odd Shaped Matrices
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    Examples
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    Outer Product
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    Exercise
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    Inner Product
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    Exercises
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    Identity Matrix
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    Matrix Inverse
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    Transpose
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    Transpose Examples
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    Transpose of Product
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    Complex Conjugate of Matrices
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    Adjoint
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    Unitary
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    Hermitian
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    Hermitian and Unitary
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    Why Hermitian or Unitary ?
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    Vectors and Transformations
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    Rotation in 2D
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    Special Directions
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    Eigen Vectors and Eigen Values
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    More Eigen Vectors
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    Photons
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    Photon Polarization
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    Experiments with Photon Polarization
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    No-Cloning Theorem
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    Encoding with XOR
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    Encryption with Single-Use Shared-Secrets
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    Encoding Data in Photon Polarization
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    Making the Protocol Secure
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    Exchanging Polarization Angles
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    Why is the BB84 protocol secure?
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    Analysis
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    Modeling Physics with Math
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    Subtractive Probabilities Through Complex Numbers
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    Modeling Superposition Through Matrices
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    Overview of Math Model
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    Introduction to Spin States
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    Basis
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    Column Matrix Representation of Quantum State
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    State Vector
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    Experiments with Spin 1
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    Experiments with Spin 2
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    Experiments with Spin 3
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    Analysis of Experiments 1
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    Analysis of Experiments 2
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    Analysis of Experiments 3
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    Dirac Bra-Ket Notation 1
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    Dirac Bra-Ket Notation 2
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    More Experiment Analysis 1
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    More Experiment Analysis 2
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    On Random Behavior
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    Irreversible Transformations: Measurement
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    Reversible State Transformations
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    Analyzing Multi-Qubit Systems
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    Entanglement
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    Installing Java and Running the Simulators
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    Launching the Superposition Simulator
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    Classical Photon
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    Quantum Photon
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    No Cloning
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    No Cloning 2
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    Measurement is Irreversible
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    Deterministic vs Probabilistic
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    Running the Simulator
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    Superposition 1
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    Superposition 2
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    Measurement and Superposition
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    Two Photon Systems
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    Entanglement
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    Simulating Entanglement 1
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    Simulating Entanglement 2
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    Simulating Entanglement 3
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    Simulating Entanglement 4
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    Independent Photons
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    Effect of Measurement
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    Quantum Circuits
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    Fanout
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    Uncomputing
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    Reversible Gates
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    Quantum NOT
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    Other Single Qubit Gates
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    CNOT Gate
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    CCNOT: Toffoli Gate
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    Universal Gate
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    Fredkin Gate
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    Effects of Superposition and Entanglement on Quantum Gates
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    Installing Q#
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    Q# Simulation Architecture
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    Q# Controller
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    Q# Execution Model
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    Measuring Superposition States
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    Overview of 4-Qubit Simulation Framework
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    Set Operation
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    Iterative Measurement
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    Verifying Output after Initialization - 1
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    Verifying Output after Initialization - 2
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    NOT Operation
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    Superposition
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    SWAP
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    CNOT
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    Significance of Superposition and Entanglement
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    Effect of Superposition on Quantum Gates
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    Toffoli Gate: General Configuration
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    Toffoli Configured as NOT
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    Toffoli Configured as AND
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    Toffoli Configured as Fanout
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    IBM Quantum Experience
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    What is Qiskit ?
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    Installing Python and Qiskit
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    Interactive Python
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    Jupyter Notebooks
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    Spyder Python IDE
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    Variables and Assignment
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    Data Types
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    Operators
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    Type Conversion
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    Strings
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    Lists
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    Dictionaries
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    Loops
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    Decisions
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    Functions
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    Object Oriented Programming
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    Exceptions
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    Modules
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    Quantum Circuits 1
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    Quantum Circuits 2
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    Quantum Circuits 3
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    Quantum Circuits 4
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    Quantum Circuits 5
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    Running a Circuit
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    Circuit Matrix
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    Implementing BB84 Cryptography
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    Shor's Algorithm
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    Introduction to Machine Learning
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    What is AI ?
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    Structure of ML Systems
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    Learning With Models
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    Speed Up Learning
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    Underfit & Overfit
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    Classification
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    Sigmoid Models
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    Regularization 1
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    Regularization 2
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    Machine Learning Libraries
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    Machine Learning Coding
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    Multi-Layer Network 1
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    Multi-Layer Network 2
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    Convolution 1
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    Convolution 2
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    Convolution 3
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    Recurrent
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    Quantum Machine Learning with KNN
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    KNN Problem Description
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    Code for Classical KNN
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    Code for Quantum KNN
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    Math for Classical KNN
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    Math Prerequisites for Quantum KNN
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    Math for Quantum KNN
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    Connecting Math and Code for Classical KNN
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    Connecting Math and Code for Quantum KNN
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    Introduction to Classification
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    Support Vector Machines - Separation
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    Support Vector Machines - Overfitting
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    Support Vector Machines - Soft Margins
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    Support Vector Machines - Higher Dimensions and Kernels
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    Support Vector Machines - Multiple Classes
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    Quantum Support Vector Machines
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    Significance of Quantum Machine Learning