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De Finetti theorems for quantum channels

Wednesday, July 31, 2019
4:00 PM - 5:00 PM
Location: Annenberg 213
Mario Berta, Lecturer (Assistant Professor), Department of Computing, Imperial College London

Abstract: I will derive converging hierarchies of efficiently computable semidefinite programming outer bounds on the optimal fidelity for the transmission of quantum information over noisy quantum channels. The worst case convergence speed of the 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.

Based on arXiv:1810.12197 (joint work with Francesco Borderi, Omar Fawzi, Volkher Scholz)

Series: Institute for Quantum Information (IQI) Weekly Seminar Series
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