Foundational Problems, Mathematical Results and Applications in Quantum Information
Offered By: Centrum Fizyki Teoretycznej PAN via YouTube
Course Description
Overview
Explore a captivating journey through quantum information theory in this 45-minute talk by Dr. Martin Plavala from Universität Siegen. Delve into the foundational problem of entanglement existence in non-classical operational theories, tracing its roots to George Barker's work in the 1970s. Discover the proof that entanglement is a generic feature of non-classical theories and learn about the development of mathematical tools for detecting entanglement across operational theories. Examine the generalization of the Doherty-Parrilo-Spedalieri (DPS) hierarchy and its applications in finite cases. Uncover unexpected applications of these findings in solving current quantum information problems, with a focus on the semi-device independent certification of Schmidt number in quantum states. Gain insights into the derivation of a tight SDP hierarchy for this problem, bridging foundational concepts with practical applications in quantum computing and information theory.
Syllabus
M. Plavala: Foundational problems, mathematical results and applications in quantum information
Taught by
Centrum Fizyki Teoretycznej PAN
Related Courses
Graph Partitioning and ExpandersStanford University via NovoEd Convex Optimization
Stanford University via edX Approximation Algorithms Part II
École normale supérieure via Coursera The State of JuMP - Progress and Future Plans
The Julia Programming Language via YouTube Quantum Algorithms for Optimization - Quantum Colloquium
Simons Institute via YouTube