On steering in the C-algebraic framework
We discuss a scenario of bipartite steering with local subsystems of the parties modeled by certain operator algebras. In particular, we formalize the notion of quantum assemblages in a commuting observables paradigm and focus on equivalent descriptions of such objects providing a systematic analysi...
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| Main Author | |
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| Format | Journal Article |
| Language | English |
| Published |
25.06.2023
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| Subjects | |
| Online Access | Get full text |
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| Summary: | We discuss a scenario of bipartite steering with local subsystems of the
parties modeled by certain operator algebras. In particular, we formalize the
notion of quantum assemblages in a commuting observables paradigm and focus on
equivalent descriptions of such objects providing a systematic analysis of
previously scattered approaches. We provide necessary and sufficient conditions
for the equivalence of quantum commuting and tensor models that is stable under
extensions of the trusted subsystem by arbitrary finite-dimensional ancillae.
Finally, we provide no-go results concerning the possibility of post-quantum
steering in this most general bipartite paradigm and discuss related
corollaries concerning free probability and operator system approach. |
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| DOI: | 10.48550/arxiv.2306.14344 |