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Aspiring Quantum Engineers

Linear Algebra & Quantum Mechanics 101

8 weeks
0 Learners
eulerfoldeulerfold
Jul 23

“A rigorous, ground-up exploration of Linear Algebra & Quantum Mechanics designed for serious engineers. This course strips away the abstraction to expose the raw internals, teaching you how these systems actually operate at scale. You will build a powerful mental model that bridges theoretical concepts with immediate, production-ready applications.”

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About this Course

The math and physics required before simulating quantum circuits in Qiskit. This Aspiring Quantum Engineers curriculum is designed to give you hands-on experience and deep conceptual understanding. Across 8 intensive modules, you'll tackle real-world challenges and build practical projects that reinforce your learning. By the end of this journey, you'll have the skills and proof of work to demonstrate your expertise.

What you'll learn

Master the underlying architecture and practical applications of Linear Algebra Fundamentals.
Master the underlying architecture and practical applications of Advanced Linear Algebra.
Master the underlying architecture and practical applications of Inner Product Spaces.
Master the underlying architecture and practical applications of Quantum Mechanics Postulates.

Prerequisites

beginner Level

Accessible to beginners with basic computer literacy.

  • No prior experience required

Ideal for

Aspiring Quantum Engineers

Aspiring Quantum Engineers Professionals
Tech Enthusiasts
W1

Linear Algebra Fundamentals

Dive deep into the internals of Linear Algebra Fundamentals by comprehensively studying linear algebra: vector spaces and basis and linear algebra: matrices and linear transformations.

2 videos•33m
2 topics
1 homework
Learn

Topics

1.1
Linear Algebra: Vector Spaces and Basis
19 minutes
1.2
Linear Algebra: Matrices and Linear Transformations
14 minutes
W2

Advanced Linear Algebra

Explore the mechanics of Advanced Linear Algebra by comprehensively studying linear algebra: eigenvalues and eigenvectors and linear algebra: diagonalization and spectral theorem.

2 videos•55m
2 topics
1 homework
Learn
W3

Inner Product Spaces

Master the practical implementation of Inner Product Spaces by comprehensively studying linear algebra: inner products and orthogonality and linear algebra: gram-schmidt process.

2 videos•42m
2 topics
1 homework
Learn
W4

Quantum Mechanics Postulates

Construct reliable, production-ready workflows for Quantum Mechanics Postulates by comprehensively studying quantum mechanics: state vectors and hilbert space and quantum mechanics: observables and hermitian operators.

2 videos•27m
2 topics
1 homework
Learn
W5

Quantum Dynamics

Explore the mechanics of Quantum Dynamics by comprehensively studying quantum mechanics: the time-dependent schrödinger equation and quantum mechanics: measurement and probability (born rule).

2 videos•18m
2 topics
1 homework
Learn
W6

1D Potentials

Explore the mechanics of 1D Potentials by comprehensively studying quantum mechanics: particle in a box and quantum mechanics: quantum harmonic oscillator.

2 videos•50m
2 topics
1 homework
Learn
W7

Angular Momentum & Spin

Gain a deep understanding of Angular Momentum & Spin by comprehensively studying quantum mechanics: orbital angular momentum and quantum mechanics: spin and pauli matrices.

2 videos•29m
2 topics
1 homework
Learn
W8

Approximation Methods

Develop an intuitive mental model for Approximation Methods by comprehensively studying quantum mechanics: time-independent perturbation theory and quantum mechanics: the variational principle.

2 videos•56m
2 topics
1 homework
Learn
01

Learn

Watch curated videos and read study resources

02

Practice

Practice what you learned

03

Build Projects

Build projects using your new gained knowledge

04

Submit & Verify

Submit your project and get verified by our system

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