CS 682: Quantum Computing


Course Notes

Topic Link
Introduction to quantum computing Introduction
State space and vector spaces First and fourth postulate
Operations on a quantum system Second Postulate
Measurements in quantum computing Third Postulate
Deutsch's algorithm, classical and quantum circuits Circuits
Quantum teleportation and Deutsch-Jozsa algorithm Applications
Randomized and approximation model, Bernstein-Vazirani algorithm Randomized algorithms
Fourier transform and phase estimation Basic algorithms
Simon's algorithm and Hidden subgroup problem Hidden subgroup
Factorization and order finding Factor
Guest Talk: Anand Kumar Jha, IIT Kanpur Experiments with entangled photons
Video for Young's double slit experiment Video
Grover search, amplitude amplification Search
Optimality of Grover search, query complexity Query
Error Correction, Cryptography Transmit
Extra readings Readings

Administrative details:

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 and quantum information theory. Students are encouraged to take them as part of the project in the course.


Quantum computing

Linear Algebra

Quantum courses