Events Calendar

The Conditional Entropy Power Inequality for Gaussian Quantum States

Speaker: Robert Koenig, University of Waterloo

Talk Title: The Conditional Entropy Power Inequality for Gaussian Quantum States

Abstract: The classical entropy power inequality, originally proposed by Shannon, is a powerful tool in multi-user information theory. We have recently found a quantum generalization which lower bounds the output entropy as two independent signals combine at a beamsplitter. This yields upper bounds on the capacity of additive bosonic noise channels.

In this talk, I summarize these results and propose a generalization of the quantum entropy power inequality involving conditional entropies. I discuss some implications for entanglement-assisted classical communication over additive bosonic noise channels. For the special case of Gaussian states, a proof can be given based on perturbation theory for symplectic spectra.

This is based on joint work with Graeme Smith.


Sponsored by the Ming Hsieh Institute

Biography: Robert Koenig received his diploma in theoretical physics from the Swiss Federal Institute of Technology (ETH) Zurich in 2003. He subsequently worked as a research and teaching assistant at the department of theoretical computer science at ETH before moving to Cambridge, UK. After completing his PhD in 2007, he was a postdoctoral scholar at the Institute for Quantum Information, Caltech until 2011. Last fall, he joined the Institute for Quantum Computing and the Department of Applied Mathematics at the University of Waterloo after spending a year at IBM Watson research. He is interested in all mathematical, physical and computer-science related aspects of quantum information.

Host: Ben Reichardt, x07229, ben.reichardt@usc.edu

Location: Seaver Science Library (SSL) - 150

Audiences: Everyone Is Invited

Contact: Gerrielyn Ramos