Extremal steering assemblages

authored by

Thomas Cope, Tobias J. Osborne

Abstract

Nonlocal correlations between a fully characterized quantum system and an untrusted black box device are described by an assemblage of conditional quantum states. These assemblages form a convex set, whose extremal points are relevant in many operational contexts. We give necessary and sufficient conditions for an assemblage to be extremal using linear independence conditions and an algorithm to decompose a generic assemblage into extremal points. A matlab implementation of this algorithm is also provided.

Organisation(s)

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

Type

Article

Journal

Physical Review A

Volume

106

ISSN

2469-9926

Publication date

30.08.2022

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

Electronic version(s)

https://doi.org/10.1103/PhysRevA.106.022221 (Access: Closed)
https://doi.org/10.48550/arXiv.2107.07614 (Access: Open)