Catalytic advantage in asymptotic entanglement manipulation

Fuente: arXiv
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Autore principale: Ganardi, Ray
Natura: Preprint
Pubblicazione: 2026
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author Ganardi, Ray
author_facet Ganardi, Ray
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2605_04879
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Catalytic advantage in asymptotic entanglement manipulation
Ganardi, Ray
Quantum Physics
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.
title Catalytic advantage in asymptotic entanglement manipulation
topic Quantum Physics
url https://arxiv.org/abs/2605.04879