“Qiskit Mastery : Advanced Concepts in Quantum Computing”
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Course sections

Section 1
1. Complex numbers and Matrices
1
Complex Numbers
7:30 Minute
2
Basics of matrices
12:00 Minute
3
Operations on Matrices - Part 1
11:00 Minute
4
Operations on Matrices - Part 2
14:00 Minute
5
Operations on Matrices - Part 3
7:00 Minute
6
Operations on Matrices - Part 4
7:16 Minute
7
Types of Matrices
10:53 Minute
8
Eigenvalues and Eigenvectors
14:03 Minute
9
Diagonalization of matrices
5:11 Minute
10
Eigen decomposion of matrices
5:35 Minute
11
Functions of matrices
6 minute
12
Quiz
13 questions
Section 2
2. Linear vector space
1
Vector spaces - Part 1
16:44 Minute
2
Vector spaces - Part 2
13:36 Minute
3
Vector spaces - Part 3
9:10 Minute
4
Hilbert spaces
11:50 Minute
5
Change of basis
12:40 Minute
6
Tensor product of vectors
17:11 Minute
7
Quiz
9 questions
Section 3
3. Postulates of Quantum Mechanics
1
Schrodinger's cat
6:34 Minute
2
Bra-ket notation
3:30 Minute
3
Polarization and Polarizers
15:45 Minute
4
Formalism to Malus law
9:10 Minute
5
Postulates of Quantum Mechanics - Part 1
14:10 Minute
6
Postulates of Quantum Mechanics - Part 2
10:31 Minute
7
Postulates of Quantum Mechanics – Part 3
18:46 Minute
8
Generalized measurement
15:59 Minute
9
Heisenberg uncertainty principle
8:06 Minute
10
Quiz
12 questions
Section 4
4. Pure states and Bloch sphere
1
Pure states
7.15 minute
2
Density matrices for Pure states
12.30 minute
3
Bloch Sphere
10.30 minute
4
Quiz
10 questions
Section 5
5. Mixed states
1
Mixed states
19.15 minute
2
Mixed states on Blochsphere
7.minute
3
Von Neumann entropy
10.30 minute
4
Quiz
8 questions
Section 6
6. Composite systems and Bells theorem
1
EPR and Bell’s theorem
45 minute
2
Separable and Entangled pure states
7.30 minute
3
Composite pure state systems
27.30 minute
4
Bell states
4.minute
5
Quiz
5 questions
Section 7
7. Density matrix formalism
1
Density matrix formalism for composite systems
12 minute
2
Partial trace and reduced density matrix
6.30 minute
3
Entanglement entropy
9.40 minute
4
Quiz
6 questions
Section 8
8. No-go theorems
1
No cloning theorem
7.15 minute
2
No signalling theorem
15.45 minute
3
Quantum teleportation
12.45 minute
4
Quiz
4 questions
Section 9
9. Complexity theory
1
Asymptomatic analysis
23 minute
2
Complexity classes
13.15 minute
3
Turing machine
5.30 minute
4
How Turing machine works?
10.15 minute
5
Church-Turing thesis
11.40 minute
Section 10
10. Quantum gates and circuits
1
Single qubit gates - Part 1
8.15 minute
2
Single qubit gates - Part 2
18 minute
3
Multiple qubit gates
11.15 minute
4
Quantum circuit
3.50 minute
5
Universal set of quantum gates
7.30 minute
6
Metrics of quality of circuit
16.30 minute
7
Quiz
8 questions
Section 11
11. Introduction to Qiskit
1
Initialisation
5.30 minute
2
Building circuits
2.30 minute
3
Measurements
7.30 minute
4
Statevector after measurement
2.20 minute
5
Measurement collapse
6
Bloch sphere
2.40 minute
7
Bloch vector
2.40 minute
8
Bell states
12 minute
9
Depth of a circuit
5.12 minute
10
Width of a circuit
1.30 minute
11
Von Neumann entropy
6.45 minute
12
Evolve density matrix
7.30 minute
13
Pure state density matrices
12.10 minute
14
Partial trace and entangled entropy
5 minute
15
Qshphere
7 minute
16
Quantum teleportation
21.30 minute
Section 12
12. Oracle and phase-kickback
1
Circuit vs query complexity
9 minute
2
Quantum oracles
13.30 minute
Section 13
13. Deutsch algorithm
1
Deutsch algorithm
18.15 minute
Section 14
Project
1
2
Project report
3
Project report
4
Project Report

2. Linear vector space

Tensor product of vectors

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