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.

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.