Speaker : Professor Chi-Kwong Li (College of William and Mary)
Title : Some mathematical aspects of Quantum Information Science (Part 3)
Time : 2011-12-02 (Fri) 14:30 - 15:30
Place : Seminar Room 722, Institute of Mathematics (NTU Campus)
Abstract: We will discuss some recent results and open problems on several research topics on quantum information science. Part 1. Quantum Operations and Completely Positive Linear Maps. A brief introduction will be given to quantum information science. The connection of quantum operations and completely positive linear maps will be described. Part 2. Quantum Error Correction and Higher Rank Numerical Ranges Recent results in quantum error correction based on operator theory approach will be discussed. In particular, the theory of higher rank numerical range and its applications to quantum error correction will be described. Part 3 Entanglement and Separability Criteria An important problem in quantum information science is to distinguish entangled states and separable states. We will describe different separability criteria with focus on the realignment matrix approach.