Introduction to Quantum Information

What you will learn

At the end of this course, you will be able to:

Know about

Brief history of QI
Why qubit?
Entanglement
Change of basis
Superdense coding
No-cloning theorem
Quantum measurements

Description

The aim of this course is to communicate a basic understanding of the key concepts in Quantum Information and Computing, to understand how these concepts come about and their consequences, and to prepare you for studying more specific or advanced topics in the field.

Format

7 lectures and 1-2 hours of study per lecture

Prerequisites

High School Math, Basic algebra;

Welcome to Quantum Mechanics I (recommended), Welcome to Quantum Mechanics II (recommended)

Course plan

Lecture 1: General Perspectives on Quantum Information
1.1 Introduction to the course
1.2 Why do we study quantum information
1.3 A brief history account

Lecture 2: What is a qubit? (review)

Lecture 3: Qubits and multi-qubit systems
3.1 Qubit and operators
3.2 Two-qubit systems
3.3 Bell states

Lecture 4: Superdense coding
4.1 The protocol of superdense coding
4.2 Decoding information

Lecture 5: Change of basis
5.1 Simple examples
5.2 General formalism
5.3 Transformation of state representations

Lecture 6: No-cloning theorem
6.1 Cloning leads to superluminal communication
6.2 Proof of no-cloning theorem
6.3 Remarks

Lecture 7: Bell's inequality and entanglement
7.1 Bell's inequality
7.2 Entanglement criterion