Connector theory for entropy inequalities

Quantum entropy inequalities fundamentally limit how information can be distributed in a quantum system. However, it is an open problem to list and show all the entropy inequalities for the quantum setting beyond 3-party systems, which has proven extremely challenging both numerically and analytically. As the number of qubits we can experimentally initiate and control grows, it is becoming increasingly important to understand a quantum system’s ability to store information about correlations between subsystems. This project aims to combine methods from quantum information theory and tensor networks in order to study the entropy inequalities for system sizes well beyond the reach of current numerical tools. This approach is based on the recently introduced connector theory, which provides a novel tool to coarse-graining many-body quantum systems through convex optimization while preserving certain properties of interest.

Faculty Supervisor:

Graeme Smith

Student:

Partner:

Institute for Quantum Optics and Quantum Information – Vienna

Discipline:

Mathematics

Sector:

Quantum Science

University:

University of Waterloo

Program: