Appendix to "Accardi contra Bell (cum mundi) : The Impossible Coupling"
Appendix to "Accardi contra Bell (cum mundi) : The Impossible Coupling"
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《Accardi contra Bell (cum mundi)：不可能的耦合》附录
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
R. Gill
中科院分区：
文献类型：
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作者：
R. Gill
实验观察到的对贝尔不等式的违反应该表明了失败
来处理量子现实。然而，有限的统计数据和时间
真实的实验的连续性质仍然允许局部现实主义的漏洞。我们表明
Aspect实验的随机设计填补了这个漏洞。我们的主要工具
是经典伯恩斯坦（1924）不等式的货车de Geer（2000）上鞅形式
保证，在根n尺度，一个不重于高斯分布的尾部，
有界上鞅差的和结果用于指定协议
作者和L之间的公开打赌在最近的论文（Accardi和
Regoli，2000 a，B，2001）声称已经制作了一套计算机程序，
在计算机网络上运行，这将模拟违反贝尔不等式。在
样本量为3万，两个错误概率都保证小于1
如果我们坚持序贯随机设计的话
An experimentally observed violation of Bell s inequality is supposed to show the failure
of local realism to deal with quantum reality. However, finite statistics and the time
sequential nature of real experiments still allows a loophole for local realism. We show
that the randomised design of the Aspect experiment closes this loophole. Our main tool
is van de Geer s (2000) supermartingale version of the classical Bernstein (1924) inequality
guaranteeing, at the root n scale, a not-heavier-than-Gaussian tail of the distribution of
a sum of bounded supermartingale differences. The results are used to specify a protocol
for a public bet between the author and L. Accardi, who in recent papers (Accardi and
Regoli, 2000a,b, 2001) has claimed to have produced a suite of computer programmes, to
be run on a network of computers, which will simulate a violation of Bell s inequalites. At
a sample size of thirty thousand, both error probabilities are guaranteed smaller than one
in a million, provided we adhere to the sequential randomized design.