Making Mistakes Saves the Single World of the Extended Wigner’s Friend Experiment

S. Łukaszyk
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Abstract

The Extended Wigner’s Friend thought experiment comprising a quantum system containing an agent who draws conclusions, upon observing the outcome of a measurement of a qubit prepared in two non-orthogonal versions by another agent led its authors to conclude that quantum theory cannot consistently describe the use of itself. It has also been proposed that this thought experiment is equivalent to coherent entangled state (Bell type) experiments. It is argued in this paper that the assumption of the freedom of choice of the first Wigner’s friend invalidates such equivalency. It is also argued that the assumption of locality (physical space) introduces superfluous identity of indiscernibles metric axiom, which is invalid in quantum domain and generally disproven by the Ugly duckling mathematical theorem.
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犯错拯救了扩展维格纳朋友实验的单一世界
扩展维格纳的朋友思想实验包括一个量子系统,其中包含一个agent,该agent在观察另一个agent以两个非正交版本准备的量子位的测量结果后得出结论,其作者得出结论,量子理论不能始终一致地描述其自身的使用。也有人提出该思想实验等价于相干纠缠态(贝尔型)实验。本文认为,第一维格纳朋友的选择自由假设使这种等价性无效。本文还论证了局部性(物理空间)假设引入了不可分辨度量公理的多余同一性,这在量子域是无效的,一般被丑小鸭数学定理所证伪。
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