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The time proximity of trades across stocks reveals interesting topological structures of the equity market in the United States. In this article, we investigate how such concurrent cross-stock trading behaviors, which we denote as…

Trading and Market Microstructure · Quantitative Finance 2024-05-14 Yutong Lu , Gesine Reinert , Mihai Cucuringu

As a typical representation of complex networks studied relatively thoroughly, financial market presents some special details, such as its nonconservation and opinions spreading. In this model, agents congregate to form some clusters, which…

Other Condensed Matter · Physics 2007-05-23 Jie Wang , Chun-Xia Yang , Pei-Ling Zhou , Ying-Di Jin , Tao Zhou , Bing-Hong Wang

Volatility of financial stock is referring to the degree of uncertainty or risk embedded within a stock's dynamics. Such risk has been received huge amounts of attention from diverse financial researchers. By following the concept of…

Statistical Finance · Quantitative Finance 2021-10-25 Xiaodong Wang , Fushing Hsieh

Financial markets have a vital role in the development of modern society. They allow the deployment of economic resources. Changes in stock prices reflect changes in the market. In this study, we focus on predicting stock prices by deep…

Machine Learning · Computer Science 2019-09-27 Jialin Liu , Fei Chao , Yu-Chen Lin , Chih-Min Lin

A pairwise clustering approach is applied to the analysis of the Dow Jones index companies, in order to identify similar temporal behavior of the traded stock prices. To this end, the chaotic map clustering algorithm is used, where a map is…

Disordered Systems and Neural Networks · Physics 2010-01-31 N. Basalto , R. Bellotti , F. De Carlo , P. Facchi , S. Pascazio

In a topological quantum computer, universal quantum computation is performed by dragging quasiparticle excitations of certain two dimensional systems around each other to form braids of their world lines in 2+1 dimensional space-time. In…

Quantum Physics · Physics 2009-11-11 S. H. Simon , N. E. Bonesteel , M. H. Freedman , N. Petrovic , L. Hormozi

Financial networks have become extremely useful in characterizing the structure of complex financial systems. Meanwhile, the time evolution property of the stock markets can be described by temporal networks. We utilize the temporal network…

Statistical Finance · Quantitative Finance 2018-07-04 Longfeng Zhao , Gang-Jin Wang , Mingang Wang , Weiqi Bao , Wei Li , H. Eugene Stanley

A statistical physics model for the time evolutions of stock portfolios is proposed. In this model the time series of price changes are coded into the sequences of up and down spins. The Hamiltonian of the system is introduced and is…

Statistical Mechanics · Physics 2008-12-02 Jun-ichi Maskawa

Topological quantum computation encodes quantum information in the internal fusion space of non-Abelian anyonic quasiparticles, whose braiding implements logical gates. This goes beyond Abelian topological order (TO) such as the toric code,…

The trade of a fixed stock can be regarded as the basic process that measures its momentary price. The stock price is exactly known only at the time of sale when the stock is between traders, that is, only in the case when the owner is…

General Finance · Quantitative Finance 2014-12-12 Liviu-Adrian Cotfas

Indistinguishability of particles is a fundamental principle of quantum mechanics. For all elementary and quasiparticles observed to date - including fermions, bosons, and Abelian anyons - this principle guarantees that the braiding of…

Quantum Physics · Physics 2023-06-02 Trond I. Andersen , Yuri D. Lensky , Kostyantyn Kechedzhi , Ilya Drozdov , Andreas Bengtsson , Sabrina Hong , Alexis Morvan , Xiao Mi , Alex Opremcak , Rajeev Acharya , Richard Allen , Markus Ansmann , Frank Arute , Kunal Arya , Abraham Asfaw , Juan Atalaya , Ryan Babbush , Dave Bacon , Joseph C. Bardin , Gina Bortoli , Alexandre Bourassa , Jenna Bovaird , Leon Brill , Michael Broughton , Bob B. Buckley , David A. Buell , Tim Burger , Brian Burkett , Nicholas Bushnell , Zijun Chen , Ben Chiaro , Desmond Chik , Charina Chou , Josh Cogan , Roberto Collins , Paul Conner , William Courtney , Alexander L. Crook , Ben Curtin , Dripto M. Debroy , Alexander Del Toro Barba , Sean Demura , Andrew Dunsworth , Daniel Eppens , Catherine Erickson , Lara Faoro , Edward Farhi , Reza Fatemi , Vinicius S. Ferreira , Leslie Flores Burgos , Ebrahim Forati , Austin G. Fowler , Brooks Foxen , William Giang , Craig Gidney , Dar Gilboa , Marissa Giustina , Raja Gosula , Alejandro Grajales Dau , Jonathan A. Gross , Steve Habegger , Michael C. Hamilton , Monica Hansen , Matthew P. Harrigan , Sean D. Harrington , Paula Heu , Jeremy Hilton , Markus R. Hoffmann , Trent Huang , Ashley Huff , William J. Huggins , Lev B. Ioffe , Sergei V. Isakov , Justin Iveland , Evan Jeffrey , Zhang Jiang , Cody Jones , Pavol Juhas , Dvir Kafri , Tanuj Khattar , Mostafa Khezri , Mária Kieferová , Seon Kim , Alexei Kitaev , Paul V. Klimov , Andrey R. Klots , Alexander N. Korotkov , Fedor Kostritsa , John Mark Kreikebaum , David Landhuis , Pavel Laptev , Kim-Ming Lau , Lily Laws , Joonho Lee , Kenny Lee , Brian J. Lester , Alexander Lill , Wayne Liu , Aditya Locharla , Erik Lucero , Fionn D. Malone , Orion Martin , Jarrod R. McClean , Trevor McCourt , Matt McEwen , Kevin C. Miao , Amanda Mieszala , Masoud Mohseni , Shirin Montazeri , Emily Mount , Ramis Movassagh , Wojciech Mruczkiewicz , Ofer Naaman , Matthew Neeley , Charles Neill , Ani Nersisyan , Michael Newman , Jiun How Ng , Anthony Nguyen , Murray Nguyen , Murphy Yuezhen Niu , Thomas E. O'Brien , Seun Omonije , Andre Petukhov , Rebecca Potter , Leonid P. Pryadko , Chris Quintana , Charles Rocque , Nicholas C. Rubin , Negar Saei , Daniel Sank , Kannan Sankaragomathi , Kevin J. Satzinger , Henry F. Schurkus , Christopher Schuster , Michael J. Shearn , Aaron Shorter , Noah Shutty , Vladimir Shvarts , Jindra Skruzny , W. Clarke Smith , Rolando Somma , George Sterling , Doug Strain , Marco Szalay , Alfredo Torres , Guifre Vidal , Benjamin Villalonga , Catherine Vollgraff Heidweiller , Theodore White , Bryan W. K. Woo , Cheng Xing , Z. Jamie Yao , Ping Yeh , Juhwan Yoo , Grayson Young , Adam Zalcman , Yaxing Zhang , Ningfeng Zhu , Nicholas Zobrist , Hartmut Neven , Sergio Boixo , Anthony Megrant , Julian Kelly , Yu Chen , Vadim Smelyanskiy , Eun-Ah Kim , Igor Aleiner , Pedram Roushan

We investigate a promising conformal field theory realization scheme for topological quantum computation based on the Fibonacci anyons, which are believed to be realized as quasiparticle excitations in the $\mathbb{Z}_3$ parafermion…

Quantum Physics · Physics 2024-04-04 Lachezar S. Georgiev , Ludmil Hadjiivanov , Grigori Matein

An artificial stock market is established with the modeling method and ideas of cellular automata. Cells are used to represent stockholders, who have the capability of self-teaching and are affected by the investing history of the…

Other Condensed Matter · Physics 2009-11-10 Tao Zhou , Pei-Ling Zhou , Bing-Hong Wang , Zi-Nan Tang , Jun Liu

Large and stable indices of the world wide stock markets such as NYSE and SP 500 together with NASDAQ -- the index representing markets of new trends, and WIG -- the index of the local stock market of Eastern Europe, are considered. Due to…

Statistical Mechanics · Physics 2008-12-02 Danuta Makowiec

We present a novel agent-based approach to simulating an over-the-counter (OTC) financial market in which trades are intermediated solely by market makers and agent visibility is constrained to a network topology. Dynamics, such as changes…

Econometrics · Economics 2024-05-07 James T. Wilkinson , Jacob Kelter , John Chen , Uri Wilensky

Over the past two decades, some scholars have noticed the correlation between quantum mechanics and finance/economy, making some novel attempts to introduce the theoretical framework of quantum mechanics into financial and economic…

Computational Engineering, Finance, and Science · Computer Science 2023-10-18 Huajian Li , Longjian Li , Jiajian Liang

In this paper we continue our descriptions of stock markets in terms of some non abelian operators which are used to describe the portfolio of the various traders and other {\em observable} quantities. After a first prototype model with…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 F. Bagarello

Schemes for topological quantum computation are usually based on the assumption that the system is initially prepared in a specific state. In practice, this state preparation is expected to be challenging as it involves non-topological…

Quantum Physics · Physics 2010-05-14 Robert Koenig

The financial market is a complex dynamical system composed of a large variety of intricate relationships between several entities, such as banks, corporations and institutions. At the heart of the system lies the stock exchange mechanism,…

We pursue the quantum-mechanical challenge to the efficient market hypothesis for the stock market by employing the quantum Brownian motion model. We utilize the quantum Caldeira-Leggett master equation as a possible phenomenological model…

General Finance · Quantitative Finance 2019-01-31 Jasmina Jeknić-Dugić , Sonja Radi\' c , Igor Petrović , Momir Arsenijević , Miroljub Dugić