Probing the quantum-classical boundary with compression software
Probing the quantum-classical boundary with compression software
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DOI：
10.1088/1367-2630/18/3/035011
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发表时间：
2016-03-22
影响因子：
3.3
通讯作者：
Kurtsiefer, Christian
中科院分区：
文献类型：
--
作者：
Poh, Hou Shun;Markiewicz, Marcin;Kurtsiefer, Christian
我们采用一种算法方法来解决二分场景中的局部现实主义问题。我们假设本地的结果是由空间分离的通用图灵机模拟。结果是从关于本地测量设置的输入编码信息和发送给双方的二分系统的描述计算的。一般来说，这样的描述可以编码一些在量子理论中不可用的附加信息，即，局部隐藏变量利用局部结果的柯尔莫哥洛夫复杂性，我们推导出一个任何局部现实理论都必须遵守的不等式。由于Kolmogorov复杂性一般是不可计算的，我们表明，这种不平等可以表示在无损压缩的数据在这样的实验中产生的，量子力学违反it.Finally，我们证实了我们的研究结果，实验使用对偏振纠缠光子和现成的压缩软件。我们认为，我们的方法放松了独立同分布（i.i.d.）假设，即，结果位串中的各个位不必是i.i.d.
Weadapt an algorithmic approach to the problem of local realism in a bipartite scenario. We assume that local outcomes are simulated by spatially separated universal Turing machines. The outcomes are calculated from inputs encoding information about a local measurement setting and a description of the bipartite system sent to both parties. In general, such a description can encode some additional information not available in quantum theory, i.e., local hidden variables. Using the Kolmogorov complexity of local outcomes we derive an inequality that must be obeyed by any local realistic theory. Since the Kolmogorov complexity is in general uncomputable, we show that this inequality can be expressed in terms of lossless compression of the data generated in such experiments and that quantum mechanics violates it. Finally, we confirm experimentally our findings using pairs of polarisation-entangled photons and readily available compression software. We argue that our approach relaxes the independent and identically distributed (i.i.d.) assumption, namely that individual bits in the outcome bit-strings do not have to be i.i.d.