A lattice arising from quantum information theory
Date/Time:10 Jan 2020 15:00
Venue: S17 #04-05 SR2
Speaker: Seung-Hyeok Kye, Seoul National University, South Korea
A lattice arising from quantum information theory
The notion of separability/entanglement is one of the central themes in the current quantum information theory, and it is known to be NP hard in general to determine if a given state is separable or entangled. In multipartite systems, the notions of separability depend on partitions of systems to yield the notions of partial separability and partial entanglement. In the simplest multipartite case of the three qubit system, there are three kinds of basic partial separability which give rise to corresponding convex sets. Intersections and convex hulls of them also have been considered by researchers to get more kinds of separability and entanglement.
In this talk, we consider the lattice generated by these three convex sets, with respect to two operations: convex hull and intersection. We will discuss mathematical properties of this lattice. This talk is based on three papers: arXiv 1812.01227 (with Kyung Hoon Han), arXiv 1905.07678 (with Kyung Hoon Han) and arXiv 1911.06496 (with Kyung Hoon Han and Szilard Szalay).
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