ELE 538B: Quantum Information Theory
Course Description
Information theory addresses the fundamental mathematical limits of communication (error correction), compression, and security, built upon probability theory. This material brings quantum mechanics into the picture to derive the mathematical limits of information processing in the physical world. This includes error correction encoding for preserving a quantum state, secret key agreement via quantum channels, etc.
This course builds quantum information theory from the ground up, connecting it to classical informaiton theory at each step of the way. No prior expertise is assumed.
Prerequisites: comfortable with probability and linear algebra
Topics
Background in Quantum Mechanics:
pure/mixed state
measurement
entanglement
density operator
purification
Resource Tradeoffs and Protocols:
teleportation
super-dense coding
coherent classical communication
Classical Information Theory:
entropy/mutual information
lossless compression
channel capacity
Quantum Information Theory:
von Neumann entropy
Schumacher compression
entanglement concentration
quantum channel capacities
Teaching Staff
Instructor
Prof. Paul Cuff
Office location: B-316 E-quad
Office hours: Tuesday 3-4pm
Time and Location
Lectures
Room: Friend Center 111
T/Th 10:30-11:50am
Text
We will follow this textbook in the lectures and use it for reading and assignments:
Quantum Information Theory, Mark Wilde. (available online here)
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Optional Resources
Another information theory resource is the popular text by Cover and Thomas:
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Blackboard
Blackboard will not be used for this course.