Catalytic advantage in asymptotic entanglement manipulation

TL;DR

This paper demonstrates that catalysis can significantly reduce the exact entanglement cost in asymptotic quantum state preparation, revealing a general catalytic advantage in resource theories.

Contribution

It introduces an explicit catalytic protocol that lowers the entanglement cost for asymptotic state preparation and extends the catalytic advantage to other resource theories.

Findings

Catalysis reduces the exact entanglement cost in asymptotic state preparation.

Explicit catalytic protocol demonstrating cost reduction.

Generalizes catalytic advantage to other resource theories.

Abstract

Entanglement is a key quantum resource in various quantum protocols, with a rich set of laws governing its manipulation. In this context, catalysis refers to the possibility of an auxiliary state that enables a previously forbidden manipulation, while being completely returned at the end. While the catalytic setting has been thoroughly examined in the single-copy regime, much less is known in the asymptotically many copy regime. In this work, we focus on the entanglement cost of preparing asymptotically many copies of a given state exactly. We show that catalysis can significantly lower the exact entanglement cost by constructing an explicit catalytic protocol. Additionally, these findings generalize readily to other resource theories, showing a general catalytic advantage in the resource dilution task.