# Seminario

#### Seminario Q-Math

General Squashing Model for Quantum Key Distribution

Ponente:  Nicky Li (Universität Innsbruck)
Fecha:  jueves 07 de julio de 2022 - 12:00
We study a mathematical problem that is important in proving security of many quantum key distribution (QKD) protocols. The aim is to construct a completely positive and unital map that is not entanglement breaking and maps a finite set of finite-dimensional positive operators, $$\{F_k\}_k$$ to a finite set of infinite-dimensional positive operators, $$\{G_k\}_k$$, which satisfy $$\sum_k F_k = \mathbb{I}$$ and $$\sum_k G_k = \mathbb{I}_\infty$$. A few successful examples with special restrictions on the set $$\{F_k\}_k$$ will be presented.