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Courses » Quantum Information and Computing

Quantum Information and Computing

About the course :

The course is Primarily for Students of Physics and Engineering having exposure to basic quantum mechanics and knowledge of Linear Algebra.

Intended Audience :

Elective at both PG and UG Level for BE/M.Sc.

Pre-requisites :

Familiarity with linear algebra and basic quantum mechanics is required.

1079 students have enrolled already!!

About the Instructor :



Prof. Dipan Ghosh was a Professor at the Physics Department of IIT Bombay till 2015. During this time he has received Excellence of Teaching Award of IIT Bombay twice and in 2011, he was awarded the life time teaching award of IIT Bombay. He has taught a variety of courses during his long teaching career including Quantum Mechanics, Classical Mechanics, Electrodynamics, Quantum Computation etc.

Course Plan :

Topics to be covered :

  1. Why Quantum Computing?
  2.  Postulates of Quantum Mechanics – I
  3. Postulates of Quantum Mechanics – II
  4. Qubits and Bloch Sphere
  5. Basic Quantum Gates
  6. Quantum Circuits
  7. Quantum No Cloning Theorem and Teleportation
  8. Dense coding
  9. Density Matrix-I
  10. Density Matrix – II
  11. Projective measurement
  12. POVM
  13. EPR and Bell’s Inequalities-I
  14. Bell’s Inequalities – II
  15. Deutsch Algorithm
  16. Deutsch-Jozsa Algorithm
  17. Simon Problem
  18. Grover’s Search Algorithm – I
  19. Grover’s Search Algorithm –II
  20. Grover’s Search Algorithm –III
  21. Grover’s Search Algorithm –IV
  22. Quantum Fourier Transform –I
  23. Quantum Fourier Transform –II
  24. Period Finding
  25. Method of Continued Fraction
  26. Shor’s Factorization Algorithm
  27. Shor’s Factorization Algorithm
  28. Quantum Error Correction Codes
  29. Quantum error Correction Codes
  30. Classical Information Theory
  31. Shannon Entropy -I
  32. Shannon entropy-II
  33.  Von Neumann Entropy-I
  34.  Von Neumann Entropy –II
  35. Classical Cryptography
  36. RSA Algorithm
  37. Quantum Cryptography – BB 84 protocol
  38. B-92 and Eckart protocol
  39.  Practical realization of a quantum computer-I
  40. Practical Realization of Quantum Computer -II
Suggested  Reading

1.Michael A. Nielsen and Issac L. Chuang, “Quantum Computation and Information”, Cambridge (2002).

2. Mikio Nakahara and Tetsuo Ohmi, “Quantum Computing”, CRC Press (2008).

3. N. David Mermin, “Quantum Computer Science”,Cambridge (2007)

Certification Exam

  • The exam is optional for a fee. (Exams will be on September 24, 2017).
  • Time: Shift 1: 9 AM-12 Noon; Shift 2: 2 PM-5 PM
  • Any one shift can be chosen to write the exam for a course.
  • Registration url: Announcements will be made when the registration form is open for registrations
  • The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published.

Certificate

  •  Final score will be calculated as : 25% assignment score + 75% final exam score
  •  25% assignment score is calculated as 25% of 8 week course average of  Best 6 out of 8 assignments.
  • E-Certificate will be given to those who register and write the exam and score greater than or equal to 40% final score. Certificate will have your name, photograph and the score in the final exam with the breakup. It will have the logos of NPTEL and  IIT Bombay. It will be e-verifiable at nptel.ac.in/noc.