Benchmarking one-shot distillation in general quantum resource theories

TL;DR

This paper provides a unified framework for one-shot quantum resource distillation, establishing fundamental limits and operational meanings across various convex quantum resource theories.

Contribution

It introduces a general quantitative description of one-shot distillation, including a meaningful measure for maximal resource states applicable to many resource theories.

Findings

Maximal fidelity bounds for resource distillation

Operational interpretation of generalized robustness

Applicability to diverse quantum resources

Abstract

We study the one-shot distillation of general quantum resources, providing a unified quantitative description of the maximal fidelity achievable in this task, and revealing similarities shared by broad classes of resources. We establish fundamental quantitative and qualitative limitations on resource distillation applicable to all convex resource theories. We show that every convex quantum resource theory admits a meaningful notion of a pure maximally resourceful state which maximizes several monotones of operational relevance and finds use in distillation. We endow the generalized robustness measure with an operational meaning as an exact quantifier of performance in distilling such maximal states in many classes of resources including bi- and multipartite entanglement, multi-level coherence, as well as the whole family of affine resource theories, which encompasses important examples such as asymmetry, coherence, and thermodynamics.