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arXiv 2307.03489quant-ph
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每个非信令信道都是公共原因可实现的

Every non-signalling channel is common-cause realizable

Paulo J. Cavalcanti, John H. Selby, Ana Belén Sainz

AI总结:

本文证明了局部层析广义概率理论(GPT)的非信令资源集与其GPT-公共原因可实现资源集重合,为将非信令信道作为包络理论资源提供了因果依据,并肯定地回答了相关文献中的两个开放性问题。

摘要:

在这项工作中,我们证明了局部层析广义概率理论(GPT,如量子理论和经典理论)的非信令资源集与其GPT-公共原因可实现的资源集重合,其中公共原因来自相关的GPT。从因果视角来看,这一结果为在研究公共原因过程的资源理论时,将非信令信道作为包络理论的资源提供了理由。这回答了文献\cite{schmid2020postquantum}中一个关键的开放性问题。我们结果的一个直接推论是,每个非信令集合体都可以在GPT中实现,从而肯定地回答了文献\cite{cavalcanti2022post}中提出的问题。

英文摘要:

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}.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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