Separability, Contextuality, and the Quantum Frame Problem

被引:6
|
作者
Fields, Chris [1 ]
Glazebrook, James F. [2 ,3 ]
机构
[1] Tufts Univ, Allen Discovery Ctr, Medford, MA 02155 USA
[2] Eastern Illinois Univ, Dept Math & Comp Sci, 600 Lincoln Ave, Charleston, IL 61920 USA
[3] Univ Illinois, Dept Math, Urbana, IL 61801 USA
关键词
Cone-cocone diagram; Godel's theorem; Markov blanket; Measurement; Quantum reference frame; Task environment; Undecidability; HIDDEN-VARIABLES; CHU SPACES; ENTANGLEMENT; PROBABILITY; NONLOCALITY;
D O I
10.1007/s10773-023-05406-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the relationship between assumptions of state separability and both preparation and measurement contextuality, and the relationship of both of these to the frame problem, the problem of predicting what does not change in consequence of an action. We state a quantum analog of the latter and prove its undecidability. We show how contextuality is generically induced in state preparation and measurement by basis choice, thermodynamic exchange, and the imposition of a priori causal models, and how fine-tuning assumptions appear ubiquitously in settings characterized as non-contextual.
引用
收藏
页数:20
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