Entanglement cost for steering assemblages

verfasst von

Thomas Cope

Abstract

In this paper we answer the question of how one can quantify the amount of entanglement necessary to create a given steering assemblage when the original state and measurements are unknown. To do this, we extend the concepts of entanglement cost and entanglement of formation to steering assemblages and provide easy-to-calculate upper and lower bounds. We prove that the entanglement of formation for assemblages is not generally continuous and not a flat roof extension (in contrast with the state-based quantity), and we use numerical analysis to illustrate these properties. Finally, we discuss the consequences of these results for assemblage-to-assemblage conversion and suggest potential applications.

Organisationseinheit(en)

Institut für Theoretische Physik
QuantumFrontiers
SFB 1227: Designte Quantenzustände der Materie (DQ-mat)

Typ

Artikel

Journal

Physical Review A

Band

104

ISSN

2469-9926

Publikationsdatum

25.10.2021

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Atom- und Molekularphysik sowie Optik

Elektronische Version(en)

https://doi.org/10.48550/arXiv.2102.02333 (Zugang: Offen)
https://doi.org/10.1103/PhysRevA.104.042220 (Zugang: Geschlossen)