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作为真实系综的波函数。

The wave function as a true ensemble.

作者信息

Hance Jonte R, Hossenfelder Sabine

机构信息

Quantum Engineering Technology Laboratories, Department of Electrical and Electronic Engineering, University of Bristol, Woodland Road, Bristol BS8 1US, UK.

Frankfurt Institute for Advanced Studies, Ruth-Moufang-Str. 1, D-60438 Frankfurt am Main, Germany.

出版信息

Proc Math Phys Eng Sci. 2022 Jun;478(2262):20210705. doi: 10.1098/rspa.2021.0705. Epub 2022 Jun 22.

DOI:10.1098/rspa.2021.0705
PMID:35756876
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9215214/
Abstract

In quantum mechanics, the wave function predicts probabilities of possible measurement outcomes, but not which individual outcome is realized in each run of an experiment. This suggests that it describes an ensemble of states with different values of a hidden variable. Here, we analyse this idea with reference to currently known theorems and experiments. We argue that the ψ-ontic/epistemic distinction fails to properly identify ensemble interpretations and propose a more useful definition. We then show that all local ψ-ensemble interpretations which reproduce quantum mechanics violate statistical independence. Theories with this property are commonly referred to as superdeterministic or retrocausal. Finally, we explain how this interpretation helps make sense of some otherwise puzzling phenomena in quantum mechanics, such as the delayed choice experiment, the Elitzur-Vaidman bomb detector and the extended Wigner's friends scenario.

摘要

在量子力学中,波函数预测可能测量结果的概率,但无法预测在每次实验运行中实际出现的单个结果。这表明它描述了一个具有隐藏变量不同值的态的系综。在此,我们参照当前已知的定理和实验来分析这一观点。我们认为,ψ-实体/认知的区分未能正确识别系综诠释,并提出了一个更有用的定义。然后我们表明,所有重现量子力学的局域ψ-系综诠释都违反统计独立性。具有这种性质的理论通常被称为超决定论或逆因果论。最后,我们解释这种诠释如何有助于理解量子力学中一些原本令人困惑的现象,比如延迟选择实验、埃利茨尔-瓦伊德曼炸弹探测器以及扩展的维格纳朋友场景。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/11f9/9215214/4a3a2cc9137a/rspa20210705f03.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/11f9/9215214/c516ec928e16/rspa20210705f01.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/11f9/9215214/5b614e270421/rspa20210705f02.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/11f9/9215214/4a3a2cc9137a/rspa20210705f03.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/11f9/9215214/c516ec928e16/rspa20210705f01.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/11f9/9215214/5b614e270421/rspa20210705f02.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/11f9/9215214/4a3a2cc9137a/rspa20210705f03.jpg

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本文引用的文献

1
Physics and Metaphysics of Wigner's Friends: Even Performed Premeasurements Have No Results.维格纳的朋友之物理与形而上学:即便进行了预测量也无结果。
Phys Rev Lett. 2021 Apr 2;126(13):130402. doi: 10.1103/PhysRevLett.126.130402.
2
Discretization of the Bloch sphere, fractal invariant sets and Bell's theorem.布洛赫球的离散化、分形不变集与贝尔定理。
Proc Math Phys Eng Sci. 2020 Apr;476(2236):20190350. doi: 10.1098/rspa.2019.0350. Epub 2020 Apr 15.
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Quantum theory cannot consistently describe the use of itself.量子理论不能一致地描述自身的使用。
Nat Commun. 2018 Sep 18;9(1):3711. doi: 10.1038/s41467-018-05739-8.
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No ψ-epistemic model can fully explain the indistinguishability of quantum states.没有 ψ-认知模型可以完全解释量子态的不可区分性。
Phys Rev Lett. 2014 Jun 27;112(25):250403. doi: 10.1103/PhysRevLett.112.250403. Epub 2014 Jun 25.
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Phys Rev Lett. 2012 Jun 29;108(26):260404. doi: 10.1103/PhysRevLett.108.260404. Epub 2012 Jun 27.
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