Quantum Information and Computing

Overview

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Course outline: The course is Primarily for Students of Physics and Engineering having exposure to basic quantum mechanics and knowledge of Linear Algebra. Learn about Quantum computing to Quantum Cryptography from Professor Dipan Ghosh from IIT Bombay

Syllabus

Lecture 1 : Why Quantum Computing?.
Lecture 2 : Postulates of Quantum Mechanics I.
Lecture 3 : Postulates of Quantum Mechanics II.
Lecture 4 : Qubit- The smallest unit.
Lecture 5 : Qubit- Bloch sphere representation.
Lecture 6 : Multiple Qubit States and Quantum Gates.
Lecture 7 : Quantum Gates.
Lecture 8 : Quantum Circuts.
Lecture 9 : No-Cloning Theorem and Quantum Teleportation.
Lecture 10 : Super Dense Coding.
Lecture 11 : Density Matrix-I.
Lecture 12 : Density Matrix-II.
Lecture 13 : Bloch Sphere and Density Matrix.
Lecture 14 : Measurement Postulates-I.
Lecture 15 : Measurement Postulates-II.
Lecture 16 : Simple Algorithms-Deutsch Algorithm.
Lecture 17 : Deutsch-Josza & Bernstein-Vazirani Algorithms.
Lecture 18 : Simon Problem.
Lecture 19 : Grover's Search Algorithm - I.
Lecture 20 : Grover's Search Algorithm - II.
Lecture 21 : Grover's Search Algorithm - III.
Lecture 22 : Grover's Search Algorithm - IV.
Lecture 23 : Quantum Fourier Transform.
Lecture 24 : Period Finding and QFT.
Lecture 25 : Implementing QFT.
Lecture 26 : Implementing QFT-3 qubits (and more).
Lecture 27 : Shor's Factorization Algorithm.
Lecture 28 : Shor's Factorization Algorithm-Implementation.
Lecture 29 : Shor's Algorithm-Continued Fraction.
Lecture 30 : Quantum Error Correction-I.
Lecture 31 : Quantum Error Correction-II Three Qubit Code.
Lecture 32 : Quantum Error Correction-III Shor's 9 Qubit Code-I.
Lecture 33 : Quantum Error Correction-IV Shor's 9 Qubit Code-II.
Lecture 34 : Classical Information Theory.
Lecture 35 : Shannon Entropy.
Lecture 36 : Shannon's Noiseless Coding Theorem.
Lecture 37 : Ven Neumann Entropy.
Lecture 38 : EPR and Bell's Inequalities - I.
Lecture 39 : EPR and Bell's Inequalities - II.
Lecture 40 : EPR and Bell's Inequalities - III.
Lecture 41 : Cryptography-RSA Algorithm-I.
Lecture 42 : Cryptography-RSA Algorithm-II.
Lecture 43 : Quantum Cryptography-I.
Lecture 44 : Quantum Cryptography-II.
Lecture 45 : Experimental Aspects of Quantum Computing - I.
Lecture 46 : Experimental Aspects of Quantum Computing - II.