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Algorithm for Quantum-like Representation: Transformation of Probabilistic Data into Vectors on Bloch's Sphere

机译:类量子表示算法:将概率数据转换为Bloch球面上的矢量

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摘要

In this paper, we present a simple algorithm for representation of statistical data of any origin by complex probability amplitudes. Numerical simulation with Mathematica-6 is performed, cf. [1] and [2] on recent numerical simulation for quantum correlations. The Bloch's sphere is used for the visualization of results of numerical simulation. On the one hand, creation of such a quantum-like (QL) representation and its numerical approval is an important step in clarification of extremely complicated interrelation between classical and quantum randomness. On the other hand, it opens new possibilities for applying the mathematical formalism of QM in other domains of science.
机译:在本文中,我们提出了一种简单的算法,可以通过复杂的概率幅度表示任何来源的统计数据。请使用Mathematica-6进行数值模拟。 [1]和[2]关于量子相关性的最新数值模拟。 Bloch球体用于数值模拟结果的可视化。一方面,创建这种类量子(QL)表示形式及其数值认可是澄清经典与量子随机性之间极为复杂的相互关系的重要步骤。另一方面,它为在其他科学领域应用QM的数学形式主义开辟了新的可能性。

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