Leifer Matthew S, Pusey Matthew F
Institute for Quantum Studies and Schmid College of Science and Technology, Chapman University, Orange, CA 92866, USA.
Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario, Canada N2L 2Y5.
Proc Math Phys Eng Sci. 2017 Jun;473(2202):20160607. doi: 10.1098/rspa.2016.0607. Epub 2017 Jun 21.
Huw Price has proposed an argument that suggests a time symmetric ontology for quantum theory must necessarily be retrocausal, i.e. it must involve influences that travel backwards in time. One of Price's assumptions is that the quantum state is a state of reality. However, one of the reasons for exploring retrocausality is that it offers the potential for evading the consequences of no-go theorems, including recent proofs of the reality of the quantum state. Here, we show that this assumption can be replaced by a different assumption, called -mediation, that plausibly holds independently of the status of the quantum state. We also reformulate the other assumptions behind the argument to place them in a more general framework and pin down the notion of time symmetry involved more precisely. We show that our assumptions imply a timelike analogue of Bell's local causality criterion and, in doing so, give a new interpretation of timelike violations of Bell inequalities. Namely, they show the impossibility of a (non-retrocausal) time symmetric ontology.
休·普赖斯提出了一个论点，该论点表明量子理论的时间对称本体论必然是逆向因果的，即它必须涉及在时间中向后传播的影响。普赖斯的假设之一是量子态是一种实在状态。然而，探索逆向因果关系的原因之一是它提供了规避禁则定理后果的可能性，包括近期关于量子态实在性的证明。在此，我们表明这个假设可以被另一个称为 - 调解的假设所取代，该假设似乎独立于量子态的状态而成立。我们还重新阐述了该论点背后的其他假设，将它们置于一个更通用的框架中，并更精确地确定所涉及的时间对称概念。我们表明我们的假设意味着贝尔局部因果性标准的类时类似物，并且在此过程中，对贝尔不等式的类时违背给出了一种新的解释。也就是说，它们表明了（非逆向因果的）时间对称本体论的不可能性。
