论文标题
为什么$ψ$确实不完整:一个简单的插图
Why $ψ$ is incomplete indeed: a simple illustration
论文作者
论文摘要
国际科学界因诺贝尔奖归因于诺贝尔奖,克劳瑟(Clauser)和齐林格(Zeilinger)承认了实验性违反贝尔(Bell)不平等现象的基本重要性。然而,仍在争论贝尔的假设中失败的原因,导致这些不平等,通常总结为“当地现实主义”,或者更适合“古典当地现实主义”。最常见的解释是“量子非本地性”,但是与相对论因果关系完全兼容。这使人们想知道这些实验是否真正涉及任何非本地现象。在这里,我们想概括另一种选择,有时称为“预测性不完整”,与通常的状态向量$ψ$确实是不完整的观念密切相关,因为爱因斯坦,波多尔斯基和罗森声称。但是,完成$ψ$的正确方法与隐藏变量无关,但是需要指定测量上下文,因为Bohr声称的是。在这里,我们将考虑两个旋转1/2或两个量子位的简单情况,以使参数保持简单,但通常适用于量子力学。
With the Nobel Prize attributed to Aspect, Clauser, and Zeilinger, the international scientific community acknowledged the fundamental importance of the experimental violation of Bell's inequalities. It is however still debated what fails in Bell's hypotheses, leading to these inequalities, and usually summarized as "local realism", or maybe more appropriately "classical local realism". The most common explanation is "quantum non-locality", that remains however fully compatible with relativistic causality; this makes wondering whether any non-local phenomenon is really involved in these experiments. Here we want to recapitulate another option, sometimes called "predictive incompleteness", closely related to the idea that the usual state vector $ψ$ is incomplete indeed, as it was claimed by Einstein, Podolsky and Rosen. However, the right way to complete $ψ$ has nothing to do with hidden variables, but requires to specify the measurement context, as it was claimed by Bohr. Here we will consider the simple case of two spin 1/2, or two qubits, in order to keep the argument simple, but it does apply generally in quantum mechanics.