Introduction to Quantum Information

Quantum information has the potential to revolutionize the field of computing and communication. Unlike classical computers, which use bits to store and process information, quantum computers use quantum bits or qubits that can exist in multiple states at once, leading to exponential processing power.
Quantum information also has applications in cryptography, where quantum encryption can provide a higher level of security than classical encryption methods. Moreover, it has implications in other fields like chemistry, biology, and physics, where it can be used to simulate and understand complex phenomena at the quantum level.
The course provides an introduction to quantum information at a beginning graduate level. It focuses on the fundamental understanding of how information is processed with quantum systems and how the quantum properties apply to computing and communication tasks. The course begins by presenting quantum theory as the framework of information processing. Quantum systems are introduced with single and two qubits. Axioms of quantum theory such as states, dynamics, and measurements are explained as preparation, evolution, and readout of qubits. Quantum computing and quantum communication are explained. Entanglement is identified as a key resource of quantum information processing. Manipulation and quantification of entangled states are provided.