# A one-shot achievability result for quantum state redistribution

## TL;DR

This paper presents a new one-shot achievability bound for quantum state redistribution, utilizing max-relative entropy and hypothesis testing relative entropy, with techniques like convex split and position-based decoding.

## Contribution

It introduces a novel one-shot achievability bound for quantum state redistribution using advanced entropy measures and decoding techniques, improving upon previous results.

## Key findings

- Bound is expressed in terms of max-relative entropy and hypothesis testing relative entropy.
- Techniques include convex split and position-based decoding.
- Result is upper bounded by prior work from Berta et al. (2016).

## Abstract

We study the problem of entanglement-assisted quantum state redistribution in the one-shot setting and provide a new achievability result on the quantum communication required. Our bounds are in terms of the max-relative entropy and the hypothesis testing relative entropy. We use the techniques of convex split and position-based decoding to arrive at our result. We show that our result is upper bounded by the result obtained in Berta, Christandl, Touchette (2016).