Entanglement cost for steering assemblages

authored by

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.

Organisation(s)

Institute of Theoretical Physics
QuantumFrontiers
CRC 1227 Designed Quantum States of Matter (DQ-mat)

Type

Article

Journal

Physical Review A

Volume

104

ISSN

2469-9926

Publication date

25.10.2021

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

Electronic version(s)

https://doi.org/10.48550/arXiv.2102.02333 (Access: Open)
https://doi.org/10.1103/PhysRevA.104.042220 (Access: Closed)