Basic Information
The Course Will Focus On The Mathematical Treatment of a Broad Range Of Topics in Quantum Information Focusing On Quantum Resource Theories. Topics Include (but Not Limited To) Quantum States, Quantum Channels, Quantum Measurements, Quantum Teleportation, Super-dense Coding, Completely Positive Maps, Neumarkis Theorem, Stinespring Dilation Theorem, Choi-jamiolkowski Isomorphism, The Theory of Majorization, The Peres-horodecki Criterion For Separability, Lieb's Theorem and The Strong Subadditivity of The Von Neumann Entropy. The Second Part of The Course Will Focus On Specific Quantum Resource Theories Including Quantum Entanglement, Quantum Asymmetry, and Quantum Thermodynamics. The Latter Topics Will Be Covered Both in The Single-shot Domain and The Asymptotic Domain. The Course Is Intended For Both Graduate Students and Senior Undergrad Students. Learning Outcomes# at The End of The Course The Studetns Will Know# 1. Quantum Foundations and Information# Students Will Develop a Deep Understanding of The Foundational Principles and The Mathematical Formalism of Quantum Mechanics, and How They Underpin Quantum Information Theory. 2. Entanglement Theory# Students Will Master The Theory of Quantum Entanglement, Its Mathematical Representation, and Its Significance In Quantum Information Science. 3. Mathematical Proficiency# Students Will Comprehend Advanced Theorems and Gain Proficiency in Essential Mathematical Tools And Concepts Used in Quantum Information Theory. Students Will Develop Problem-solving Skills By Working On Exercises and Assignments Related to Quantum Information. 4. Interdisciplinary Understanding# Students Will Gain An Interdisciplinary Perspective By Connecting Quantum Information Theory To Other Areas of Physics, Mathematics, and Computer Science.
Faculty: Mathematics
|Undergraduate Studies
|Graduate Studies
Pre-required courses
104016 - Algebra 1/extended or 104066 - Algebra A or 104166 - Algebra Am