Dr. Debbie Leung
Biography:
Debbie Leung has been a Professor at the Institute for Quantum Computing (IQC) and the Department of Combinatorics and Optimization at the University of Waterloo since 2005. Before that, she was a Tolman postdoctoral fellow at the Institute for Quantum Information, California Institute of Technology (Caltech), a program postdoctoral fellow at the Workshop on Quantum Computation 2002, at the Mathematical Sciences Research Institute, Berkeley, and a postdoctoral fellow at the Physics of Information group at the IBM TJ Watson Research Center, 2000-2002. After a BSc in Phys/Math from Caltech in 1995, she did a PhD in Physics at Stanford under the supervision of Professor Yoshihisa Yamamoto and Professor Isaac Chuang. Her research is in the theory of quantum information, focusing on capacities of quantum channels, quantum data compression, entanglement theory, measurement based quantum computation, quantum error correction and fault-tolerant quantum computation.
Title:
Generic nonadditivity of quantum capacity
Abstract:
Determining capacities of quantum channels is a fundamental question in quantum information theory. Despite having rigorous coding theorems quantifying the flow of information across quantum channels, their capacities are poorly understood due to super-additivity effects. Studying these phenomena is important for deepening our understanding of quantum information, yet simple and clean examples of super-additive channels are scarce. Here we study a family of channels called platypus channels. Its simplest member, a qutrit channel, is shown to display super-additivity of coherent information when used jointly with a variety of qubit channels. Higher-dimensional family members display super-additivity of quantum capacity together with an erasure channel. Furthermore, super-additivity can occur between two channels each with large weakly additive capacity. Remarkably, a single, novel transmission strategy achieves super-additivity in all examples. Our results show that super-additivity is much more prevalent than previously thought.
Joint work with Felix Leditzky, Vikesh Siddhu, Graeme Smith, and John Smolin