Journal
PHYSICAL REVIEW A
Volume 106, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.106.022221
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Funding
- Quantum Valley Lower Saxony (QVLS)
- DFG [SFB 1227, RTG 1991]
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) [390837967]
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This paper explores nonlocal correlations between a fully characterized quantum system and an untrusted black box device, described by conditional quantum states. The necessary and sufficient conditions for an assemblage to be extremal are given using linear independence conditions and an algorithm for decomposition. A MATLAB implementation of the algorithm is also provided.
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.
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