School of Technology and Computer Science Seminars

An Attempt to Derandomize the Random Unitary Matrices Used for Decoupling in Quantum Information Theory

by Mr. Gowtham Raghunath Kurri (School of Technology and Computer Science, TIFR)

Monday, December 8, 2014 from to (Asia/Kolkata)
at D-406 (D-Block Conference Room)
Description
The correlation of a quantum system $A$ to an initially correlated system $E$ generally decreases when $A$ undergoes an evolution separated from $E$. Here we study the conditions under which the correlation disappears completely, resulting in a decoupling of $A$ from $E$. Decoupling is a general way to prove many coding theorems in quantum information theory. However existing decoupling constructions use random unitaries which are inefficient to implement. Hence the quest for derandomization.