QC051: Math Prerequisites for QC - Content moved to QC101

BY
Udemy

Gain an understanding of the mathematical foundations needed for quantum computing and quantum physics

Mode

Online

Fees

₹ 499 3099

Quick Facts

particular details
Medium of instructions English
Mode of learning Self study
Mode of Delivery Video and Text Based

Course overview

Quantum computing may be imminent or unattainable: Quantum computers require physics that may not exist. An adding machine is not a quantum computer. Unlike Pascal's A.D. 1645 brass calculator, which always reads out one 6-digit number, a quantum register's qubits are in a superposition of states. When the register is interrogated, one of these states is read out with a probability, and the remaining information is lost. The register can be "in" many states, allowing many simultaneous calculations. However, a quantum computer's inputs must take advantage of superposition, and the calculating process must force the probabilistic output to provide useful information. Programming a quantum computer has been solved in important and interesting cases. QC051: Math Prerequisites for Quantum Computing certification is made available by Udemy to candidates who want to be familiar with the mathematical prerequisites for quantum Computing and Physics.

QC051: Math Prerequisites for Quantum Computing online training includes four hours of video, two articles, and a digital certificate upon course completion.

QC051: Math Prerequisites for Quantum Computing online classes comprises of boolean algebra, cryptography, probability, statistics, complex numbers, linear algebra, and matrice

The highlights

  • Full Lifetime Access
  • Four Hours of Video
  • Two Articles
  • Access on Mobile and TV
  • Certificate of Completion

Program offerings

  • Online course
  • Learning resources
  • 30-day money-back guarantee
  • Unlimited access

Course and certificate fees

Fees information
₹ 499  ₹3,099
certificate availability

Yes

certificate providing authority

Udemy

What you will learn

QC051: Math Prerequisites for Quantum Computing certification course, the candidate will master math prerequisites for quantum computing, physics, boolean algebra, cryptography, the importance of randomness, probability, and boolean expression. The candidate will learn about statistics, mapping random variables, complex conjugates, linear algebra, and matrices. The aspirant will learn about vectors & transformations, special directions, and eigenvectors.

The syllabus

Boolean Algebra

  • Introduction
  • Boolean Algebra
  • Boolean Variables & Operators
  • Reviewing Your Experience
  • Truth Tables
  • Logic Gates
  • Logic Circuits
  • AND Gate
  • OR Gate
  • NOT Gate
  • Multiple Input Gates
  • Equivalent Circuits 1
  • Equivalent Circuits 2
  • Universal Gate: NAND
  • Exclusive-OR
  • XOR for Assignment
  • XOR of Bit Sequences 1
  • XOR of Bit Sequences 2

Cryptography

  • Introduction to Cryptography
  • Cryptography with XOR
  • Shared Secret
  • Importance of Randomness
  • Breaking the Code

Probability

  • Introduction to Probability
  • Probability of a Boolean Expression
  • Mutually Exclusive Events
  • Independent Events
  • Manipulating Probabilities with Algebra
  • P( Mutually Exclusive Events )
  • P( Independent Events )
  • Complete Set of Mutually Exclusive Events
  • P( A OR B )
  • Examples
  • Examples
  • P( Bit Values )
  • Analysis with Venn Diagrams
  • Venn Diagram P( A AND B )
  • Venn Diagram P( A OR B )
  • Venn Diagram P( NOT A )
  • Examples
  • Examples
  • Conditional Probability
  • Examples

Statistics

  • Introduction to Statistics
  • Random Variables
  • Mapping Random Variables
  • Mean, Average, Expected Value ...
  • Example
  • Example
  • Beyond Mean
  • Standard Deviation
  • Examples
  • Combinations of Random Variables
  • Correlation
  • Analysis of Correlation
  • Test to Determine if Real-World Random Variables are Correlated

Complex Numbers

  • Introduction to Complex Numbers
  • Imaginary i
  • Addition
  • Subtraction
  • Multiplication by a Real
  • Division by a Real
  • Complex Multiplication
  • Examples
  • Complex Conjugates
  • Squared Magnitude
  • Complex Division
  • Examples
  • Euler's Formula
  • Polar Form
  • Examples
  • Fractional Powers
  • Complex Cube Roots of 1
  • Square Root of i
  • 2D Coordinates

Linear Algebra & Matrices

  • Matrices
  • Matrix Dimensions
  • Matrix Addition
  • Subtraction
  • Scalar Multiplication
  • Matrix Multiplication
  • Examples
  • Examples
  • 3x3 Example
  • Exercises
  • More Multiplications
  • When is Multiplication Possible?
  • Example
  • Not Commutative
  • Associative & Distributive
  • Dimension of Result
  • Odd Shaped Matrices
  • Examples
  • Outer Product
  • Exercise
  • Inner Product
  • Exercises
  • Identity Matrix
  • Matrix Inverse
  • Transpose
  • Transpose Examples
  • Transpose of Product
  • Complex Conjugate of Matrices
  • Adjoint
  • Unitary
  • Hermitian
  • Hermitian & Unitary
  • Why Hermitian or Unitary?
  • Vectors & Transformations
  • Rotation in 2D
  • Special Directions
  • Eigen Vectors & Eigen Values
  • More Eigen Vectors
  • Conclusion

Instructors

Mr Kumaresan Ramanathan
Architect
Freelancer

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