论文标题
在两个国家矢量形式主义的非偏氧化场景中没有上下文优势
No contextual advantage in non-paradoxical scenarios of two state vector formalism
论文作者
论文摘要
两种国家矢量形式主义（TSVF）是由Aharonov，Bergmann和Lebowitz（ABL）提出的，以提供一种反事实分配的方法，以实现预期但不受欢迎的量子系统的测量结果。这种形式主义是量子理论基础的各个方面的基础，并且已在弱价值和量子上下文的几种证据的发展中得到了显着使用。我们将TSVF的应用，预选后（PPS）和相应的ABL规则作为发掘量子上下文性的一种手段。我们使用排他性原则将结果前后的场景分类为悖论或非偏氧化。鉴于此，我们发现，只有在违反排他性原则并因此被归类为矛盾的情况下，才有可能在PPS情况下出现上下文性的一些证据。我们认为，这些并不构成对上下文性的正确检验。此外，我们为TSVF范式中应用的KCBS方案提供了数值分析，发现非偏多氧的场景没有提供任何上下文优势。我们的方法也可以很容易地在其他上下文场景中概括。
The two state vector formalism (TSVF) was proposed by Aharonov, Bergmann, and Lebowitz (ABL) to provide a way for the counterfactual assignment of the probabilities of outcomes of contemplated but unperformed measurements on quantum systems. This formalism underlies various aspects of foundations of quantum theory and has been used significantly in the development of weak values and several proofs of quantum contextuality. We consider the application of TSVF, with pre- and post-selection (PPS) and the corresponding ABL rule, as a means to unearth quantum contextuality. We use the principle of exclusivity to classify the resultant pre- and post-selection scenarios as either paradoxical or non-paradoxical. In light of this, we find that several previous proofs of the emergence of contextuality in PPS scenarios are only possible if the principle of exclusivity is violated and are therefore classified as paradoxical. We argue that these do not constitute a proper test of contextuality. Furthermore, we provide a numerical analysis for the KCBS scenario as applied in the paradigm of TSVF and find that non-paradoxical scenarios do not offer any contextual advantage. Our approach can be easily generalized for other contextual scenarios as well.
