CS 682: Quantum Computing

#### End-sem exam will be on 20th Nov, from 4-6 pm in L4 (OROS).

#### Time and Venue: KD102, MTh 12:00-1:20 PM

#### Anti-cheating policy: from CSE Dept

#### Projects: Reports and Presentations

Notes

### Course notes:

Topic |
Link |

Introduction to quantum computing | Introduction |

Linear algebra | Linear Operators |

Postulates of quantum mechanics | Postulates |

Computation, classical and quantum. | Computation |

Solutions by Amit | Quiz 1 |

Deutsch-Jozsa, Fourier transform and phase estimation | Basic algorithms |

Guest Talk: Anand Kumar Jha, IIT Kanpur | Experiments with entangled photons |

Simon's algorithm, factorization | Factor |

Grover search, Query complexity | Search |

Error Correction, Stabilizer codes | Codes |

### Course description:

Quantum computation captured the imagination of computer scientists with the discovery of efficient quantum algorithms for factoring and fast algorithm for search. The aim of
quantum computing is to do computation using the quantum mechanical effects. The study of quantum computation and information involves mathematics, physics and computer science.
This course will primarily focus on the mathematics and computer science aspect of it. We will start the course by answering "why quantum computing?" and then move on to study the basics of
linear algebra and computer science needed to understand the theory of quantum computation. Then, we will talk about quantum circuit model in which most of the quantum algorithms are designed.
The final part of the course will look at quantum algorithms and the advantage they offer over classical counterparts.
The only prerequisite for the course is the basic understanding of linear algebra. There are lot of other interesting topics in quantum computing which will not be covered in this course.
In particular, we will miss topics like physical realization of quantum computers, quantum information theory and quantum error correcting codes. Students are encouraged to take them as part of
the project in the course.

References

### Quantum computing

- Quantum Computation and Quantum Information, M A Nielsen and I L Chuang.
- An Introduction to Quantum Computing, P Kaye, R Laflamme and M Mosca.

### Linear Algebra

- Linear Algebra and its Applications, G. Strang.
- Matrix Analysis, Bhatia.

### Quantum courses

Grading

- 2 Quizzes: 10 + 10
- Midsem: 10
- Project: 5(proposal) + 15(midterm presentation) + 15(endterm presentation) + 20(final report)
- Endsem: 15