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3358. de-Finetti Methods for Channel Coding Theory
Invited abstract in session MD-42: Optimization in Quantum Information, stream Quantum Computing Optimization.
Monday, 14:30-16:00Room: 98 (building: 306)
Authors (first author is the speaker)
| 1. | Gereon Koßmann
|
| RWTH Aachen |
Abstract
Maximizing the channel fidelity is a major problem in quantum information theory. Many methods have been developed for inner points and for some error models exact codes are available. In general, however, one would be interested in certificates, i.e. outer bounds. In this talk, we will present a method for generating outer points and a hierarchy that also allows for inner points. The talk is based on the standard quantum de-Finetti hierarchy for problems with linear constraints (arxiv: 1506.08810). Starting there, we are able to prove the existence of a sequence of inner points, which have similar error bounds as the outer bounds. This result yields that at least theoretically certification of actual error correcting codes becomes possible.
Keywords
- Convex Optimization
Status: accepted
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