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We use the example of playing a 2-player game with entangled quantum objects to investigate the effect of quantum correlation. We find that for simple game scenarios it is classical correlation that is the central feature and that these…

Quantum Physics · Physics 2013-05-21 Simon J. D. Phoenix , Faisal Shah Khan

Quantum game theory is a multidisciplinary field which combines quantum mechanics with game theory by introducing non-classical resources such as entanglement, quantum operations and quantum measurement. By transferring two-player-two…

Quantum Physics · Physics 2007-05-23 Sahin Kaya Ozdemir , Junichi Shimamura , Nobuyuki Imoto

Quantitative trading is an integral part of financial markets with high calculation speed requirements, while no quantum algorithms have been introduced into this field yet. We propose quantum algorithms for high-frequency statistical…

Quantum Physics · Physics 2022-08-24 Xi-Ning Zhuang , Zhao-Yun Chen , Yu-Chun Wu , Guo-Ping Guo

Quantum computing is a promising paradigm to solve computationally intractable problems. Various companies such as, IBM, Rigetti and D-Wave offer quantum computers using a cloud-based platform that possess several interesting features.…

A number of recent studies have focused on novel features in game theory when the games are played using quantum mechanical toolbox (entanglement, unitary operators, measurement). Researchers have concentrated in two-player-two strategy,…

Quantum Physics · Physics 2007-05-23 Junichi Shimamura , Sahin Kaya Ozdemir , Nobuyuki Imoto

We propose an implementation of the algorithm for the fast Fourier transform (FFT) as a quantum circuit consisting of a combination of some quantum gates. In our implementation, a data sequence is expressed by a tensor product of vector…

Quantum Physics · Physics 2020-08-11 Ryo Asaka , Kazumitsu Sakai , Ryoko Yahagi

Classical game theory is a powerful tool focusing on optimized resource distribution, allocation and sharing in classical wired and wireless networks. As quantum networks are emerging as a means of providing true connectivity between…

Networking and Internet Architecture · Computer Science 2024-09-23 Indrakshi Dey , Nicola Marchetti , Marcello Caleffi , Angela Sara Cacciapuoti

We propose a framework to study optimal trading policies in a one-tick pro-rata limit order book, as typically arises in short-term interest rate futures contracts. The high-frequency trader has the choice to trade via market orders or…

Trading and Market Microstructure · Quantitative Finance 2012-05-15 Fabien Guilbaud , Huyên Pham

A new representation of Game Theory is developed in this paper. State of players is represented by a density matrix, and payoff function is a set of hermitian operators, which when applied onto the density matrix give the payoff of players.…

Quantum Physics · Physics 2007-05-23 Jinshan Wu

We introduce an explicit construction for a key distribution protocol in the Quantum Computational Timelock (QCT) security model, where one assumes that computationally secure encryption may only be broken after a time much longer than the…

Quantum Physics · Physics 2025-09-24 Francesco Mazzoncini , Balthazar Bauer , Peter Brown , Romain Alléaume

Despite the successes of recent works in quantum reinforcement learning, there are still severe limitations on its applications due to the challenge of encoding large observation spaces into quantum systems. To address this challenge, we…

Quantum Physics · Physics 2021-07-12 Owen Lockwood , Mei Si

Quantum game theory, whatever opinions may be held due to its abstract physical formalism, have already found various applications even outside the orthodox physics domain. In this paper we introduce the concept of a quantum auction, its…

General Finance · Quantitative Finance 2009-11-13 E. W. Piotrowski , J. Sladkowski

Quantum games have gained much popularity in the last two decades. Many of these quantum games are a redefinition of iconic classical games to fit the quantum world, and they gain many different properties and solutions in this different…

Nowadays, with the availability of massive amount of trade data collected, the dynamics of the financial markets pose both a challenge and an opportunity for high frequency traders. In order to take advantage of the rapid, subtle movement…

Computational Engineering, Finance, and Science · Computer Science 2018-07-06 Dat Thanh Tran , Martin Magris , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis

We consider a stochastic game between a slow institutional investor and a high-frequency trader who are trading a risky asset and their aggregated order-flow impacts the asset price. We model this system by means of two coupled stochastic…

Trading and Market Microstructure · Quantitative Finance 2023-06-26 Rama Cont , Alessandro Micheli , Eyal Neuman

This paper presents a new financial market simulator that may be used as a tool in both industry and academia for research in market microstructure. It allows multiple automated traders and/or researchers to simultaneously connect to an…

Trading and Market Microstructure · Quantitative Finance 2020-08-31 Thiago W. Alves , Ionut Florescu , George Calhoun , Dragos Bozdog

Quantum telepathy is the concept of using quantum entanglement to solve real-world problems involving decision coordination between parties with restricted communication. One possible reason for this restriction is a latency constraint:…

Quantum Physics · Physics 2026-03-12 Dawei Ding , Xinyu Xu

Quantum generalizations of conventional games broaden the range of available strategies, which can help improve outcomes for the participants. With many players, such quantum games can involve entanglement among many states which is…

Quantum Physics · Physics 2009-10-06 Kay-Yut Chen , Tad Hogg , Raymond Beausoleil

Using the representation introduced in our another paper\cite{frame}, the well-known Quantum Prisoner's Dilemma proposed in \cite{jens}, is reexpressed and calculated. By this example and the works in \cite{frame} on classical games and…

Quantum Physics · Physics 2007-05-23 Jinshan Wu

Data sharing issues pervade online social and economic environments. To foster social progress, it is important to develop models of the interaction between data producers and consumers that can promote the rise of cooperation between the…

Computer Science and Game Theory · Computer Science 2021-01-27 Víctor Gallego , Roi Naveiro , David Ríos Insua , Wolfram Rozas