Tata Institute of Fundamental Research

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

Project Seminar
Speaker: Gowtham Raghunath Kurri
Organiser: Prahladh Harsha
Date: Wednesday, 20 Jan 2016, 14:00 to 15:00
Venue: A-201 (STCS Seminar Room)

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Abstract:  Abstract: 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.The talk shall describe the decoupling theorem and time permitting, sketch our attempt to derandomize it using a mathematical tool called unitary t-designs.