日時:2019年1月21日(月)・23日(水) 13:00–16:10
場所:立命館大学びわこ・くさつキャンパス(BKC)
ウェストウィング6階談話会室
講演者:Marcin Marciniak (University of Gdansk, Poland)
タイトル:Introduction to Quantum Information Theory
アブストラクト:
Quantum Information Theory (QIT) is an exciting, young field which lies at the intersection of Mathematics, Physics and Computer Science. It emerged rapidly in last twenty years. QIT has sources in classical information theory but it seriously treats foundations of quantum theory also.
Soon it turned out that some problems formulated in this theory are highly nontrivial.
The aim of the series of talks is to present mathematics of QIT. Main mathematical tool come from linear algebra, functional analysis, operator algebra theory as well as probability theory. We will describe selected notions of QIT together with mathematics lying behind them.
Jan. 21, 2019
13:00~14:30
Lecture 1. Foundations of Quantum Theory: States and measurements, quantum entanglement.
14:40~16:10
Lecture 2. Entanglement witnesses: applications of positive maps
Jan. 23, 2019
13:00~14:30
Lecture 3. Quantum correlations: Tsirelson’s problem and applications of operator systems theory.
14:40~16:10
Lecture 4. Bell inequalities and steering inequalities: applications of operator space theory.