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arXiv quant-ph/9906006quant-ph
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非上下文隐藏变量和物理测量

Non-Contextual Hidden Variables and Physical Measurements

Adrian Kent

摘要:

对于一个隐变量理论来说,在有限精度的测量中,它与量子理论是不可区分的,只要它的预言在精度范围内的某个测量中一致就足够了。Meyer最近指出,Kochen-Specker定理证明了自旋为1的粒子的理想自旋测量的确定性隐变量描述是不可能的,因此如果只考虑有限精度的测量,它可以有效地无效。我们概括这个结果:在任何有限维系统上,可以将一致的结果归因于投影值测量集合的稠密子集,或者归因于正算子值测量集合的稠密子集。因此,没有一个像Kochen-Specker这样的矛盾可以排除隐变量理论,它与量子理论在任何一类中通过有限精度的测量都无法区分。

英文摘要:

For a hidden variable theory to be indistinguishable from quantum theory for finite precision measurements, it is enough that its predictions agree for some measurement within the range of precision. Meyer has recently pointed out that the Kochen-Specker theorem, which demonstrates the impossibility of a deterministic hidden variable description of ideal spin measurements on a spin 1 particle, can thus be effectively nullified if only finite precision measurements are considered. We generalise this result: it is possible to ascribe consistent outcomes to a dense subset of the set of projection valued measurements, or to a dense subset of the set of positive operator valued measurements, on any finite dimensional system. Hence no Kochen-Specker like contradiction can rule out hidden variable theories indistinguishable from quantum theory by finite precision measurements in either class.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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