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Quantum game theory is a new interdisciplinary field between game theory and physical research. In this paper, we extend the classical inspection game into a quantum game version by quantizing the strategy space and importing entanglement…

计算机科学与博弈论 · 计算机科学 2016-07-20 Xinyang Deng , Yong Deng , Qi Liu , Zhen Wang

Adaptive machines have the potential to assist or interfere with human behavior in a range of contexts, from cognitive decision-making to physical device assistance. Therefore it is critical to understand how machine learning algorithms can…

人工智能 · 计算机科学 2023-05-03 Benjamin J. Chasnov , Lillian J. Ratliff , Samuel A. Burden

Although both systems analyzed are described through two theories apparently different (quantum mechanics and game theory) it is shown that both are analogous and thus exactly equivalents. The quantum analogue of the replicator dynamics is…

综合金融 · 定量金融 2016-12-12 Esteban Guevara Hidalgo

This paper consider the possibility of using some quantum tools in decision making strategies. In particular, we consider here a dynamical open quantum system helping two players, $\G_1$ and $\G_2$, to take their decisions in a specific…

物理与社会 · 物理学 2015-06-24 Fabio Bagarello

These lecture notes attempt a mathematical treatment of game theory akin to mathematical physics. A game instance is defined as a sequence of states of an underlying system. This viewpoint unifies classical mathematical models for 2-person…

理论经济学 · 经济学 2023-04-27 Ulrich Faigle

We discuss the role of information entropy on the behaviour of random processes, and how this might take effect in the dynamics of financial market prices. We then go on to show how the Open Quantum Systems approach can be used as a more…

数理金融 · 定量金融 2024-07-01 Will Hicks

We analyze the necessary physical conditions to model an open quantum system as a quantum game. By applying the formalism of Quantum Operations on a particular system, we use Kraus operators as quantum strategies. The physical…

量子物理 · 物理学 2009-11-13 Jean Faber , Renato Portugal , Luiz Pinguelli Rosa

Quantum learning paradigms address the question of how best to harness conceptual elements of quantum mechanics and information processing to improve operability and functionality of a computing system for specific tasks through experience.…

量子物理 · 物理学 2023-05-30 Mrittunjoy Guha Majumdar

During the last centuries of human history, many questions was repeated in connection with the great problems of the existence and origin of human beings, and also of the Universe. The old questions of common sense and philosophy have not…

天体物理学 · 物理学 2007-05-23 Zs. Hetesi , B. Balázs

There are many examples of human decision making which cannot be modeled by classical probabilistic and logic models, on which the current AI systems are based. Hence the need for a modeling framework which can enable intelligent systems to…

人工智能 · 计算机科学 2018-08-15 Sagar Uprety , Dawei Song

Concepts on quantum physics are generally difficult for the general public to understand and grasp due to its counter-intuitive nature and requirement for higher level of mathematical literacy. With categorical quantum mechanics (CQM),…

科普物理 · 物理学 2026-04-08 Pak Shen Choong , Aqilah Rasat , Afiqa Nik Aimi , Nurisya Mohd Shah

The Anthropic Principle has been with us since the 1970s. This Principle is advanced to account for the "fine tuning" of the 25 constants of the Standard Model of Particle Physics. Were these constants very different, life could not exist.…

物理学史与哲学 · 物理学 2022-05-26 Stuart Kauffman

We will discuss the generalization of entropic uncertainty principles in terms of a game. The game involves k-players, each measuring one of k possible observables. The question is, what is the maximum number of players that can play such…

量子物理 · 物理学 2013-03-12 Sai Vinjanampathy , A. R. P. Rau

We introduce and review briefly the phenomenon of quantum annealing and analog computation. The role of quantum fluctuation (tunneling) in random systems with rugged (free) energy landscapes having macroscopic barriers are discussed to…

统计力学 · 物理学 2023-10-16 Bikas K Chakrabarti , Sudip Mukherjee

Knowing the reflection of game theory and ethics, we develop a mathematical representation to bridge the gap between the concepts in moral philosophy (e.g., Kantian and Utilitarian) and AI ethics industry technology standard (e.g., IEEE…

人工智能 · 计算机科学 2017-11-17 Yijia Wang , Yan Wan , Zhijian Wang

The development of estimation and control theories for quantum systems is a fundamental task for practical quantum technology. This vision article presents a brief introduction to challenging problems and potential opportunities in the…

量子物理 · 物理学 2022-01-19 Daoyi Dong , Ian R Petersen

The theory of quantum thermodynamics investigates how the concepts of heat, work, and temperature can be carried over to the quantum realm, where fluctuations and randomness are fundamentally unavoidable. Of particular practical relevance…

量子物理 · 物理学 2019-09-23 Patrick P. Potts

Two of the most important technological advancements currently underway are the advent of quantum technologies, and the transitioning of global financial systems towards cryptographic assets, notably blockchain-based cryptocurrencies and…

证券定价 · 定量金融 2021-02-02 Peter P. Rohde , Vijay Mohan , Sinclair Davidson , Chris Berg , Darcy Allen , Gavin K. Brennen , Jason Potts

Quantum computing promises to help humanity solve problems that would otherwise be intractable on classical computers. Unlike today's machines, quantum computers use a novel computing process that leverages the foundational quantum…

物理与社会 · 物理学 2024-03-06 Matthias Troyer , Emily Violi Benjamin , Ani Gevorkian

The rapidly increasing interest in the quantum properties of living matter stimulates a discussion of the fundamental properties of life as well as quantum mechanics. In this discussion often concepts are used that originate in philosophy…

物理学史与哲学 · 物理学 2016-07-27 Alfred Driessen