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There is a formal analogy between the evolution of the universe, when this is seen as a trajectory in the minisuperspace, and the worldline followed by a test particle in a curved spacetime. The analogy can be extended to the quantum realm,…

General Relativity and Quantum Cosmology · Physics 2018-12-31 Salvador J. Robles-Pérez

The development of quantum algorithms based on quantum versions of random walks is placed in the context of the emerging field of quantum computing. Constructing a suitable quantum version of a random walk is not trivial: pure quantum…

Quantum Physics · Physics 2007-05-23 Viv Kendon

We argue that traditional Western science cannot adequately describe sports and other types of human behavior. Then we make an argument why a complex adaptive systems approach has the potential to provide the foundation for such a theory.…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Gottfried Mayer-Kress

Quantum theory (QT) has been confirmed by numerous experiments, yet we still cannot fully grasp the meaning of the theory. As a consequence, the quantum world appears to us paradoxical. Here we shed new light on QT by being based on two…

Quantum Physics · Physics 2019-05-21 Alessio Benavoli , Alessandro Facchini , Marco Zaffalon

This article in Urdu presents an introduction to extension of an established branch of mathematics called game theory towards the quantum domain. We describe concepts of quantum games and evolutionary stability and go through some of the…

Quantum Physics · Physics 2019-02-19 Azhar Iqbal , Derek Abbott

We present a game-theoretic perspective on the problems of quantum state estimation and quantum cloning. This enables us to show why the focus on universal machines and the different measures of success, as employed in previous works, are…

Quantum Physics · Physics 2007-05-23 Chiu Fan Lee , Neil F. Johnson

With the goal in mind of deriving a method to compute quantum corrections for the real-time evolution in quantum field theory, we analyze the problem from the perspective of the Wigner function. We argue that this provides the most natural…

Mathematical Physics · Physics 2013-05-30 Antonio González-Arroyo , Fermín Nuevo

We give a concise and self-contained introduction to the theory of Quantum Games by reviewing the seminal works of Meyer, Eisert-Wilkens-Lewenstein, Marinatto-Weber and Landsburg, which initiated the study of this field. By generalizing…

Quantum Physics · Physics 2023-05-02 Sowmitra Das

The key observation about quantum reality is that it often appears as if, at some moment, the probability of a quantum event becomes a definite outcome for us. A careful analysis suggests, however, that what we perceive as a definite state…

General Physics · Physics 2025-10-22 Aleksandar Perisic

A comparison of classical and quantum evolution usually involves a quasi-probability distribution as a quantum analogue of the classical phase space distribution. In an alternate approach that we adopt here, the classical density is…

Chaotic Dynamics · Physics 2009-11-10 Debabrata Biswas

A quantum system is described, whose wave function has a complexity which increases exponentially with time. Namely, for any fixed orthonormal basis, the number of components required for an accurate representation of the wave function…

chao-dyn · Physics 2009-10-28 Asher Peres

This paper is concerned with complexity theoretic aspects of a general formulation of quantum game theory that models strategic interactions among rational agents that process and exchange quantum information. In particular, we prove that…

Computational Complexity · Computer Science 2022-12-28 John Bostanci , John Watrous

A setup is proposed to play a quantum version of the famous bimatrix game of Prisoners' Dilemma. Multi-slit electron diffraction with each player's pure strategy consisting of opening one of the two slits at his/her disposal are essential…

Quantum Physics · Physics 2009-11-07 A. Iqbal

We investigate quantum games in which the information is asymmetrically distributed among the players, and find the possibility of the quantum game outperforming its classical counterpart depends strongly on not only the entanglement, but…

Quantum Physics · Physics 2007-05-23 Jiangfeng Du , Hui Li , Chenyong Ju

The logical structure of Quantum Mechanics (QM) and its relation to other fundamental principles of Nature has been for decades a subject of intensive research. In particular, the question whether the dynamical axiom of QM can be derived…

Quantum Physics · Physics 2009-10-20 Florian Hulpke , Uffe V. Poulsen , Anna Sanpera , Aditi Sen De , Ujjwal Sen , Maciej Lewenstein

Quantization becomes a new way to study classical game theory since quantum strategies and quantum games have been proposed. In previous studies, many typical game models, such as prisoner's dilemma, battle of the sexes, Hawk-Dove game,…

Computer Science and Game Theory · Computer Science 2016-08-03 Xinyang Deng , Yong Deng , Qi Liu , Zhen Wang

We construct the classical dynamical system which has a quantum-like behavior. We have shown that the energy-time uncertainty relation takes place for the system and it has purely classical nature. We investigate the behavior of the system…

Quantum Physics · Physics 2015-06-12 Sergey A. Rashkovskiy

A review of the mechanisms of speciation is performed. The mechanisms of the evolution of species, taking into account the feedback of the state of the environment and mechanisms of the emergence of complexity, are considered. It is shown…

Populations and Evolution · Quantitative Biology 2018-07-18 Alexey V. Melkikh , Alexey V. Melkikh , Andrei Khrennikov

We extract the information of a quantum motion and decode it into a certain orbit via a single measurable quantity. Such that a quantum chaotic system can be reconstructed as a chaotic attractor. Two configurations for reconstructing this…

Quantum Physics · Physics 2020-05-19 Nan Yang , Xuedong Hu , Yong-Chun Liu , Ting Yu , Franco Nori

Over the last twenty years of research on quantum game theory have given us many ideas of how quantum games could be played. One of the most prominent ideas in the field is a model of quantum playing a 2x2 game introduced by J. Eisert, M.…

Quantum Physics · Physics 2021-05-26 Piotr Frąckiewicz