samcx.com
4.6 out of 5
4.6
417 reviews on Udemy

QC051: Math Prerequisites for Quantum Computing

Review of Basic Math prerequisites for Quantum Computing & Quantum Physics
Instructor:
Kumaresan Ramanathan
2,061 students enrolled
English
Math prerequisites for Quantum Computing and Quantum Physics

This is a refresher course in Mathematics for students who studied Math and Physics through 12th grade high school, but have now forgotten many of the details. In less than 4 hours I review the Math you will need to understand quantum computing concepts.

The focus is on getting you up to speed as quickly as possible. I cover what you need to know: Probability, Statistics, Boolean Logic, Complex Numbers, and Linear Algebra. You will not waste time on topics you do not need for quantum computing.

To get the most out of this course, you need to have already studied Math at a 12th grade level in high-school. This is merely a review course to help you refresh your memory. If you have not studied these topics in high school, then this 4 hour course cannot substitute for 2 years of high school Math classes.

This course reviews basic high-school Math. It doesn’t go into any details about quantum physics or quantum computing. Those topics will be discussed in subsequent courses of this series.

Boolean Algebra

1
Introduction
2
Boolean Algebra
3
Boolean Variables & Operators
4
Reviewing Your Experience
5
Truth Tables
6
Logic Gates
7
Logic Circuits
8
AND Gate
9
OR Gate
10
NOT Gate
11
Multiple Input Gates
12
Equivalent Circuits 1
13
Equivalent Circuits 2
14
Universal Gate: NAND
15
Exclusive-OR
16
XOR for Assignment
17
XOR of Bit Sequences 1
18
XOR of Bit Sequences 2

Cryptography

1
Introduction to Cryptography
2
Cryptography with XOR
3
Shared Secret
4
Importance of Randomness
5
Breaking the Code

Probability

1
Introduction to Probability
2
Probability of a Boolean Expression
3
Mutually Exclusive Events
4
Independent Events
5
Manipulating Probabilities with Algebra
6
P( Mutually Exclusive Events )
7
P( Independent Events )
8
Complete Set of Mutually Exclusive Events
9
P( A OR B )
10
Examples
11
Examples
12
P( Bit Values )
13
Analysis with Venn Diagrams
14
Venn Diagram P( A AND B )
15
Venn Diagram P( A OR B )
16
Venn Diagram P( NOT A )
17
Examples
18
Examples
19
Conditional Probability
20
Examples

Statistics

1
Introduction to Statistics
2
Random Variables
3
Mapping Random Variables
4
Mean, Average, Expected Value ...
5
Example
6
Example
7
Beyond Mean
8
Standard Deviation
9
Examples
10
Combinations of Random Variables
11
Correlation
12
Analysis of Correlation
13
Test to Determine if Real-World Random Variables are Correlated

Complex Numbers

1
Introduction to Complex Numbers
2
Imaginary i
3
Addition
4
Subtraction
5
Multiplication by a Real
6
Division by a Real
7
Complex Multiplication
8
Examples
9
Complex Conjugates
10
Squared Magnitude
11
Complex Division
12
Examples
13
Euler's Formula
14
Polar Form
15
Examples
16
Fractional Powers
17
Complex Cube Roots of 1
18
Square Root of i
19
2D Coordinates

Linear Algebra & Matrices

1
Matrices
2
Matrix Dimensions
3
Matrix Addition
4
Subtraction
5
Scalar Multiplication
6
Matrix Multiplication
7
Examples
8
Examples
9
3x3 Example
10
Exercises
11
More Multiplications
12
When is Multiplication Possible?
13
Example
14
Not Commutative
15
Associative & Distributive
16
Dimension of Result
17
Odd Shaped Matrices
18
Examples
19
Outer Product
You can view and review the lecture materials indefinitely, like an on-demand channel.
Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don't have an internet connection, some instructors also let their students download course lectures. That's up to the instructor though, so make sure you get on their good side!
4.6
4.6 out of 5
417 Ratings

Detailed Rating

Stars 5
227
Stars 4
152
Stars 3
26
Stars 2
5
Stars 1
4
Get on Udemy
30-Day Money-Back Guarantee

Includes

4 hours on-demand video
2 articles
Full lifetime access
Access on mobile and TV
Certificate of Completion
QC051: Math Prerequisites for Quantum Computing
Category:
Development
Teacher
Daniel W
Price:
$40.98 $32
Get Course

Community

For Professionals

  • List Item #1
  • List Item #2
  • List Item #3

For Businesses

  • List Item #1
  • List Item #2
  • List Item #3

We support Sales, Marketing, Account Management and CX professionals. Learn new skills. Share your expertise. Connect with experts. Get inspired.

Linkedin Twitter Facebook

Community

Partnership Opportunities

  • Sponsorships
  • Advertise with us
  • List your Business
  • List your Event
  • List your Course

Company Information

  • About Us
  • Newsroom
  • Careers
  • Our Services
  • Contact us
Contribute now
Layer 1
samcx.com
Logo
Register New Account
Compare items
  • Total (0)
Compare
0