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arXiv 1406.3531q-fin.GN
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用拓扑量子计算机解码股票市场行为

Decoding Stock Market Behavior with the Topological Quantum Computer

Ovidiu Racorean

摘要:

如果所有道琼斯工业平均指数股票成分的价格时间序列同时在一个图表中表示,就会出现股票市场令人惊讶的图像。该图表演变成一个辫子表示股票市场只考虑交叉的股票和固定的公约,定义上交叉和下交叉。股票价格的编织与拓扑量子计算机有着显著的联系。拓扑量子计算机利用准粒子对(称为非阿贝尔任意子),将它们的轨迹在时间上编织起来,可以有效地模拟股票编织中编码的股票市场行为。在一个典型的拓扑量子计算过程中,非阿贝尔任意子的轨迹被操纵根据股票的编织和结果反映了股票市场的未来状态的概率。该概率仅取决于量子计算平台闭合时所形成的结的琼斯多项式。在拓扑量子计算中,打结股票市场的琼斯多项式与普通金融文献平行,作为股票市场交易中的经典技术指标的对应物。股票市场形成的结的类型是其未来趋势的指标。

英文摘要:

A surprising image of the stock market arises if the price time series of all Dow Jones Industrial Average stock components are represented in one chart at once. The chart evolves into a braid representation of the stock market by taking into account only the crossing of stocks and fixing a convention defining overcrossings and undercrossings. The braid of stocks prices has a remarkable connection with the topological quantum computer. Using pairs of quasi-particles, called non-abelian anyons, having their trajectories braided in time, topological quantum computer can effectively simulate the stock market behavior encoded in the braiding of stocks. In a typically topological quantum computation process the trajectories of non-abelian anyons are manipulated according to the braiding of stocks and the outcome reflects the probability of the future state of stock market. The probability depends only on the Jones polynomial of the knot formed by plat closing the quantum computation. The Jones polynomial of the knotted stock market acts, making a parallel with the common financial literature, in a topological quantum computation as a counterpart of a classical technical indicator in trading the stock market. The type of knot stock market formed is an indicator of its future tendencies.

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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