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Jones polynomials were introduced as a tool to distinguish between topologically different links. Recently, they emerged as the central building block of topological quantum computation: by braiding non-Abelian anyons it is possible to…

We applied Deep Q-Network with a Convolutional Neural Network function approximator, which takes stock chart images as input, for making global stock market predictions. Our model not only yields profit in the stock market of the country…

General Finance · Quantitative Finance 2019-11-27 Jinho Lee , Raehyun Kim , Yookyung Koh , Jaewoo Kang

Modern approaches to stock pricing in quantitative finance are typically founded on the 'Black-Scholes model' and the underlying 'random walk hypothesis'. Empirical data indicate that this hypothesis works well in stable situations but, in…

General Finance · Quantitative Finance 2013-01-08 Diederik Aerts , Bart D'Hooghe , Sandro Sozzo

In topological quantum computation, quantum information is stored in states which are intrinsically protected from decoherence, and quantum gates are carried out by dragging particle-like excitations (quasiparticles) around one another in…

Quantum Physics · Physics 2009-11-11 N. E. Bonesteel , Layla Hormozi , Georgios Zikos , Steven H. Simon

It is believed by the majority today that the efficient market hypothesis is imperfect because of market irrationality. Using the physical concepts and mathematical structures of quantum mechanics, we construct an econophysics framework for…

General Finance · Quantitative Finance 2016-03-22 Xiangyi Meng , Jian-Wei Zhang , Hong Guo

Stock market prediction is still a challenging problem because there are many factors effect to the stock market price such as company news and performance, industry performance, investor sentiment, social media sentiment and economic…

General Finance · Quantitative Finance 2019-04-01 Rosdyana Mangir Irawan Kusuma , Trang-Thi Ho , Wei-Chun Kao , Yu-Yen Ou , Kai-Lung Hua

The common approach to topological quantum computation is to implement quantum gates by adiabatically moving non-Abelian anyons around each other. Here we present an alternative perspective based on the possibility of realizing the exchange…

Quantum Physics · Physics 2013-04-23 M. Burrello , B. van Heck , A. R. Akhmerov

We provide a comprehensive systematic method for the numerical computation of elementary braid operations in topological quantum computation (TQC). This {procedure} is systematically applicable to all anyon models, including $SU(2)_k$.…

Topological quantum computation may provide a robust approach for encoding and manipulating information utilizing the topological properties of anyonic quasi-particle excitations. We develop an efficient means to map between dense and…

Quantum Physics · Physics 2011-08-02 Haitan Xu , J. M. Taylor

Technical and fundamental analysis are traditional tools used to analyze individual stocks; however, the finance literature has shown that the price movement of each individual stock correlates heavily with other stocks, especially those…

Computational Engineering, Finance, and Science · Computer Science 2019-03-11 Ran Zhao , Yuntian Deng , Mark Dredze , Arun Verma , David Rosenberg , Amanda Stent

Manipulation is an important issue for both developed and emerging stock markets. For the study of manipulation, it is critical to analyze investor behavior in the stock market. In this paper, an analysis of the full transaction records of…

Trading and Market Microstructure · Quantitative Finance 2011-10-12 Xiao-Qian Sun , Xue-Qi Cheng , Hua-Wei Shen , Zhao-Yang Wang

We propose and discuss some toy models of stock markets using the same operatorial approach adopted in quantum mechanics. Our models are suggested by the discrete nature of the number of shares and of the cash which are exchanged in a real…

General Finance · Quantitative Finance 2009-11-13 F. Bagarello

This paper is an exploration of relationships between the Jones polynomial and quantum computing. We discuss the structure of the Jones polynomial in relation to representations of the Temperley Lieb algebra, and give an example of a…

Quantum Algebra · Mathematics 2007-05-23 Louis H. Kauffman

Applications of Quantum Tunneling effect have long gone beyond the traditional physical meaning. Initially created by Gamow to explain {\alpha}-decay of nuclear particles, along the time, quantum tunneling found fertile domain of research…

Pricing of Securities · Quantitative Finance 2013-07-26 Ovidiu Racorean

The market weight of a stock is its capitalization (cap) divided by the total market cap. Rank these weights from top to bottom. The capital distribution curve is a plot of weights versus ranks. For the US stock market, it is linear on a…

Probability · Mathematics 2019-07-23 Clayton Barnes , Andrey Sarantsev

This paper is about predicting the movement of stock consist of S&P 500 index. Historically there are many approaches have been tried using various methods to predict the stock movement and being used in the market currently for algorithm…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Rahul Gupta

A quantum computer can perform exponentially faster than its classical counterpart. It works on the principle of superposition. But due to the decoherence effect, the superposition of a quantum state gets destroyed by the interaction with…

Quantum Physics · Physics 2022-08-23 Muhammad Ilyas

We analyze the connections between the mathematical theory of knots and quantum physics by addressing a number of algorithmic questions related to both knots and braid groups. Knots can be distinguished by means of `knot invariants', among…

Quantum Physics · Physics 2007-06-13 S. Garnerone , A. Marzuoli , M. Rasetti

In this paper, we will present some ideas to use 3D topology for quantum computing. Topological quantum computing in the usual sense works with an encoding of information as knotted quantum states of topological phases of matter, thus being…

Quantum Physics · Physics 2021-02-10 Torsten Asselmeyer-Maluga

Many studies assume stock prices follow a random process known as geometric Brownian motion. Although approximately correct, this model fails to explain the frequent occurrence of extreme price movements, such as stock market crashes. Using…

Statistical Finance · Quantitative Finance 2015-05-14 Miguel A. Fuentes , Austin Gerig , Javier Vicente