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We remove the need to physically transport computational anyons around each other from the implementation of computational gates in topological quantum computing. By using an anyonic analog of quantum state teleportation, we show how the…

Quantum Physics · Physics 2009-09-21 Parsa Bonderson , Michael Freedman , Chetan Nayak

An artificial stock market is established based on multi-agent . Each agent has a limit memory of the history of stock price, and will choose an action according to his memory and trading strategy. The trading strategy of each agent evolves…

Other Condensed Matter · Physics 2009-11-10 Chun-Xia Yang , Tao Zhou , Pei-Ling Zhou , Jun Liu , Zi-Nan Tang

This work is concerned with tree tensor network operators (TTNOs) for representing quantum Hamiltonians. We first establish a mathematical framework connecting tree topologies with state diagrams. Based on these, we devise an algorithm for…

Quantum Physics · Physics 2024-07-09 Richard M. Milbradt , Qunsheng Huang , Christian B. Mendl

Even though computational intelligence techniques have been extensively utilized in financial trading systems, almost all developed models use the time series data for price prediction or identifying buy-sell points. However, in this study…

Machine Learning · Computer Science 2019-03-13 Omer Berat Sezer , Ahmet Murat Ozbayoglu

Anyons are particlelike excitations of strongly correlated phases of matter with fractional statistics, characterized by nontrivial changes in the wave function, generalizing Bose and Fermi statistics, when two of them are interchanged.…

Quantum Physics · Physics 2009-01-14 M. Aguado , G. K. Brennen , F. Verstraete , J. I. Cirac

Predicting stock prices presents a challenging research problem due to the inherent volatility and non-linear nature of the stock market. In recent years, knowledge-enhanced stock price prediction methods have shown groundbreaking results…

Statistical Finance · Quantitative Finance 2023-08-10 Liping Wang , Jiawei Li , Lifan Zhao , Zhizhuo Kou , Xiaohan Wang , Xinyi Zhu , Hao Wang , Yanyan Shen , Lei Chen

It is hypothesized that price charts can be empirically decomposed into two components as random and non random. The non random component, which can be treated as approximately regular behavior of the prices (trend) in an epoch, is a…

Statistical Finance · Quantitative Finance 2011-09-21 Caglar Tuncay

There are two possible ways of interpreting the seemingly stochastic nature of financial markets: the Efficient Market Hypothesis (EMH) and a set of stylized facts that drive the behavior of the markets. We show evidence for some of the…

Statistical Finance · Quantitative Finance 2018-03-20 João Pedro Rodrigues do Carmo

We describe and document three mechanisms by which corporations can influence or even control stock prices. (i) Parent and holding companies wield control over other publicly traded companies. (ii) Through clever management of treasury…

Other Condensed Matter · Physics 2009-11-10 Bertrand M. Roehner

We introduce a pentagon equation solver, available as part of SageMath, and use it to construct braid group representations associated to certain anyon systems. We recall the category-theoretic framework for topological quantum computation…

Quantum Algebra · Mathematics 2022-12-05 Willie Aboumrad

The properties of q-dependent cross-correlation matrices of stock market have been analyzed by using the random matrix theory and complex network. The correlation structures of the fluctuations at different magnitudes have unique…

Statistical Finance · Quantitative Finance 2018-03-14 Longfeng Zhao , Wei Li , Andrea Fenu , Boris Podobnik , Yougui Wang , H. Eugene Stanley

This paper provides a construction of a quantum statistical mechanical system associated to knots in the 3-sphere and cyclic branched coverings of the 3-sphere, which is an analog, in the sense of arithmetic topology, of the Bost-Connes…

Mathematical Physics · Physics 2017-02-01 Matilde Marcolli , Yujie Xu

Classical technical analysis methods of stock evolution are recalled, i.e. the notion of moving averages and momentum indicators. The moving averages lead to define death and gold crosses, resistance and support lines. Momentum indicators…

Condensed Matter · Physics 2009-11-07 M. Ausloos , K. Ivanova

Forecasting future stock trends remains challenging for academia and industry due to stochastic inter-stock dynamics and hierarchical intra-stock dynamics influencing stock prices. In recent years, graph neural networks have achieved…

Machine Learning · Computer Science 2024-03-05 Zinuo You , Zijian Shi , Hongbo Bo , John Cartlidge , Li Zhang , Yan Ge

This paper tries to address the problem of stock market prediction leveraging artificial intelligence (AI) strategies. The stock market prediction can be modeled based on two principal analyses called technical and fundamental. In the…

Statistical Finance · Quantitative Finance 2021-07-05 Sohrab Mokhtari , Kang K. Yen , Jin Liu

In this article we present a pedagogical introduction of the main ideas and recent advances in the area of topological quantum computation. We give an overview of the concept of anyons and their exotic statistics, present various models…

Quantum Physics · Physics 2009-11-13 Gavin K. Brennen , Jiannis K. Pachos

A market-maker-based prediction market lets forecasters aggregate information by editing a consensus probability distribution either directly or by trading securities that pay off contingent on an event of interest. Combinatorial prediction…

Artificial Intelligence · Computer Science 2012-10-19 Wei Sun , Robin Hanson , Kathryn Blackmond Laskey , Charles Twardy

A population of committees of agents that learn by using neural networks is implemented to simulate the stock market. Each committee of agents, which is regarded as a player in a game, is optimised by continually adapting the architecture…

Multiagent Systems · Computer Science 2007-05-23 T. Marwala , P. De Wilde , L. Correia , P. Mariano , R. Ribeiro , V. Abramov , N. Szirbik , J. Goossenaerts

The stock market has been known to form homogeneous stock groups with a higher correlation among different stocks according to common economic factors that influence individual stocks. We investigate the role of common economic factors in…

Statistical Finance · Quantitative Finance 2009-11-13 Cheoljun Eom , Gabjin Oh , Seunghwan Kim

Stock price movement prediction is commonly accepted as a very challenging task due to the volatile nature of financial markets. Previous works typically predict the stock price mainly based on its own information, neglecting the cross…

Statistical Finance · Quantitative Finance 2021-06-16 Jiexia Ye , Juanjuan Zhao , Kejiang Ye , Chengzhong Xu