Ph.D. Candidate: Hrant Gharibyan
Research Advisor: Leonard Susskind
Date: Tuesday, May 7th, 2019
Location: Varian 355
Qubits and Chaos: On the power of quantum packing lemma, universal codes and random circuits
Encoding classical information in a quantum system is one of the oldest and most fundamental challenges of quantum information theory. HSW theorem provides the tools for "packing" a single classical variable in a quantum state. In this talk, I will present a generalization of HSW theorem that allows to "pack" multiple classical variables in a quantum system. This result opens the field of network information theory to direct quantum generalization, which was a long-standing open question. To illustrate this, I will apply the quantum multiparty packing lemma as a black box decoder for the quantum relay channel.
In addition, I will give a short overview of recent results on random circuit methods for the study of many-body quantum chaos as well as construction of universal codes for quantum channels, which will also appear in the final version of my thesis.