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Measurement and Quantum Dynamics in the Minimal Modal Interpretation of Quantum Theory
Foundations of Physics ( IF 1.5 ) Pub Date : 2020-09-07 , DOI: 10.1007/s10701-020-00374-0
Jacob A. Barandes , David Kagan

Any realist interpretation of quantum theory must grapple with the measurement problem and the status of state-vector collapse. In a no-collapse approach, measurement is typically modeled as a dynamical process involving decoherence. We describe how the minimal modal interpretation closes a gap in this dynamical description, leading to a complete and consistent resolution to the measurement problem and an effective form of state collapse. Our interpretation also provides insight into the indivisible nature of measurement--the fact that you can't stop a measurement part-way through and uncover the underlying `ontic' dynamics of the system in question. Having discussed the hidden dynamics of a system's ontic state during measurement, we turn to more general forms of open-system dynamics and explore the extent to which the details of the underlying ontic behavior of a system can be described. We construct a space of ontic trajectories and describe obstructions to defining a probability measure on this space.

中文翻译:

量子理论最小模态解释中的测量和量子动力学

对量子理论的任何现实主义解释都必须解决测量问题和状态向量坍缩的状况。在无塌陷方法中,测量通常被建模为涉及退相干的动态过程。我们描述了最小模态解释如何缩小动态描述中的差距,从而导致对测量问题的完整和一致的解决以及状态崩溃的有效形式。我们的解释还提供了对测量不可分割性质的洞察——您无法中途停止测量并揭示相关系统的潜在“本体”动态这一事实。已经讨论了测量过程中系统本体状态的隐藏动态,我们转向开放系统动力学的更一般形式,并探索可以描述系统潜在本体行为细节的程度。我们构建了一个本体轨迹空间,并描述了在这个空间上定义概率度量的障碍。
更新日期:2020-09-07
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