Details
| Original language | English |
|---|---|
| Article number | 022221 |
| Journal | Physical Review A |
| Volume | 106 |
| Issue number | 2 |
| Publication status | Published - 30 Aug 2022 |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Physical Review A, Vol. 106, No. 2, 022221, 30.08.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Extremal steering assemblages
AU - Cope, Thomas
AU - Osborne, Tobias J.
N1 - Funding Information: This work was supported, in part, by the Quantum Valley Lower Saxony (QVLS), the DFG through SFB 1227 (DQ-mat) and RTG 1991, and funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy EXC-2123 QuantumFrontiers 390837967.
PY - 2022/8/30
Y1 - 2022/8/30
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85137166622&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.106.022221
DO - 10.1103/PhysRevA.106.022221
M3 - Article
AN - SCOPUS:85137166622
VL - 106
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 2
M1 - 022221
ER -