Quantum gates as matrices
Represent qubits and the Hadamard, Pauli and CNOT gates as matrices and check their properties in NumPy.
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Physics & maths · 31Intermediate
Quantum Computing Engineer
Physicists or computer scientists drawn to quantum computing.
Linear algebra, engineering mathematics, modern physics and quantum mechanics, then advanced algorithms up to quantum algorithms.
443hours of coursework
45weeks at 10 h
5steps
19courses
3universities
Target skills
GeometryLinear AlgebraMechanicsPhysicsAlgebraApplied MathematicsCalculusDifferential EquationsMathematical ModelingMarkov ModelNumerical AnalysisScripting
Skill labels as listed on Coursera.
Target jobs
- Quantum computing engineer
- Quantum physics PhD student
- R&D engineer
Progression
- 1Johns Hopkins UniversityBeginner
Stated prerequisites: Basic algebra (no calculus)
Show the 3 courses
Course Level Length Rating (reviews) Linear Algebra: Linear Systems and Matrix Equations Beginner 10 h 4.7 (183) Linear Algebra: Matrix Algebra, Determinants, & Eigenvectors — 15 h 4.8 (79) Linear Algebra: Orthogonality and Diagonalization Intermediate 9 h 4.8 (56) - 2The Hong Kong University of Science and TechnologyBeginnerMATLAB
Stated prerequisites: Single variable calculus and some computer programming ability
Show the 5 courses
Course Level Length Rating (reviews) Matrix Algebra for Engineers Beginner 20 h 4.9 (4,726) Differential Equations for Engineers Beginner 27 h 4.9 (2,251) Vector Calculus for Engineers Beginner 30 h 4.8 (1,425) Numerical Methods for Engineers Intermediate 40 h 4.8 (451) Mathematics for Engineers: The Capstone Course Intermediate 10 h 5.0 (45) - 3The Hong Kong University of Science and TechnologyBeginner
Stated prerequisites: Basic classical physics and calculus (highly recommended)
Show the 3 courses
Course Level Length Rating (reviews) Understanding Modern Physics I: Relativity and Cosmology Beginner 11 h 4.6 (174) Understanding Modern Physics II: Quantum Mechanics and Atoms Beginner 11 h 4.6 (71) Understanding Modern Physics III: Simplicity and Complexity Beginner 7 h 4.8 (34) - 4University of Colorado BoulderIntermediate
Stated prerequisites: Undergraduate calculus, differential equations and linear algebra
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Course Level Length Rating (reviews) Foundations of Quantum Mechanics Intermediate 27 h 4.5 (94) Theory of Angular Momentum Intermediate 13 h 4.0 (20) Approximation Methods Intermediate 14 h 4.4 (14) - 5University of Colorado BoulderAdvancedPythonacademic credit
Stated prerequisites: Some background in calculus, probability theory and Python programming
Show the 5 courses
Course Level Length Rating (reviews) Algorithms for Searching, Sorting, and Indexing Intermediate 36 h 4.7 (544) Trees and Graphs: Basics Advanced 34 h 4.6 (194) Dynamic Programming, Greedy Algorithms Advanced 38 h 4.7 (282) Approximation Algorithms and Linear Programming Advanced 46 h 4.8 (67) Advanced Data Structures, RSA and Quantum Algorithms Advanced 45 h 4.6 (70)
With Coursera Plus
This path takes 443 hours, about 10 months at 10 hours a week. A Coursera Plus subscription gives access to most of its courses during that time.
Projects to build
Circuit simulator
Write a small two- or three-qubit circuit simulator and prepare an entangled state.
Grover’s algorithm
Implement Grover’s search on the simulator and compare the number of iterations with a classical search.
Free textbooks
Linear AlgebraJim HefferonFree
Notes on Diffy QsJiří LeblFree, CC BY-SA 4.0
Quantum Mechanics (lecture notes)David Tong, CambridgeFree notes
The Feynman Lectures on PhysicsR. P. Feynman, R. B. Leighton, M. SandsFree to read online