Technical Program

Paper Detail

Paper Title Quantum Coding via Semidefinite Programming
Paper IdentifierMO2.R5.3
Authors Mario Berta, Francesco Borderi, Imperial College London, United Kingdom; Omar Fawzi, ENS de Lyon, France; Volkher Scholz, Ghent University, Belgium
Session Quantum Channel Capacity and Codes
Location Saint Victor, Level 3
Session Time Monday, 08 July, 11:40 - 13:00
Presentation Time Monday, 08 July, 12:20 - 12:40
Manuscript  Click here to download the manuscript
Abstract We derive converging hierarchies of efficiently computable semidefinite programming outer bounds on the optimal fidelity for the transmission of quantum information over noisy quantum channels. Based on positive partial transpose conditions we give a sufficient criterion for the exact convergence at any given level of the hierarchies. The worst case convergence speed of our hierarchies is quantified via positive semidefinite representable outer approximations on the set of separable Choi states, which are based on novel finite de Finetti theorems for quantum channels.