A simple proof of Renner's exponential de Finetti theorem

TL;DR

This paper presents a simplified proof of Renner's exponential de Finetti theorem, streamlining the original proof by avoiding complex calculations and the theory of types, while utilizing key quantum information tools.

Contribution

The authors provide a more straightforward proof of Renner's exponential de Finetti theorem, making the result more accessible and easier to understand.

Findings

Simplified proof of Renner's exponential de Finetti theorem

Avoids complex calculations and the theory of types

Uses post-selection de Finetti, Gentle Measurement, and Chernoff bound

Abstract

We give a simple proof of the exponential de Finetti theorem due to Renner. Like Renner's proof, ours combines the post-selection de Finetti theorem, the Gentle Measurement lemma, and the Chernoff bound, but avoids virtually all calculations, including any use of the theory of types.