Every non-signalling channel is common-cause realizable
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866908486904840192 |
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| author | Cavalcanti, Paulo J. Selby, John H. Sainz, Ana Belén |
| author_facet | Cavalcanti, Paulo J. Selby, John H. Sainz, Ana Belén |
| contents | In this work we show that the set of non-signalling resources of a locally-tomographic generalised probabilistic theory (GPT), such as quantum and classical theory, coincides with its set of GPT-common-cause realizable resources, where the common causes come from an associated GPT. From a causal perspective, this result provides a reason for, in the study of resource theories of common-cause processes, taking the non-signalling channels as the resources of the enveloping theory. This answers a critical open question in Ref.~\cite{schmid2020postquantum}. An immediate corollary of our result is that every non-signalling assemblage is realizable in a GPT, answering in the affirmative the question posed in Ref.~\cite{cavalcanti2022post}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_03489 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Every non-signalling channel is common-cause realizable Cavalcanti, Paulo J. Selby, John H. Sainz, Ana Belén Quantum Physics In this work we show that the set of non-signalling resources of a locally-tomographic generalised probabilistic theory (GPT), such as quantum and classical theory, coincides with its set of GPT-common-cause realizable resources, where the common causes come from an associated GPT. From a causal perspective, this result provides a reason for, in the study of resource theories of common-cause processes, taking the non-signalling channels as the resources of the enveloping theory. This answers a critical open question in Ref.~\cite{schmid2020postquantum}. An immediate corollary of our result is that every non-signalling assemblage is realizable in a GPT, answering in the affirmative the question posed in Ref.~\cite{cavalcanti2022post}. |
| title | Every non-signalling channel is common-cause realizable |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2307.03489 |