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Quantum computation offers a promising new kind of information processing, where the non-classical features of quantum mechanics can be harnessed and exploited. A number of models of quantum computation exist, including the now well-studied…

量子物理 · 物理学 2011-08-03 H. J. Briegel , D. E. Browne , W. Dür , R. Raussendorf , M. Van den Nest

We study the voting game where agents' preferences are endogenously decided by the information they receive, and they can collaborate in a group. We show that strategic voting behaviors have a positive impact on leading to the ``correct''…

计算机科学与博弈论 · 计算机科学 2023-05-23 Qishen Han , Grant Schoenebeck , Biaoshuai Tao , Lirong Xia

Quantum random sampling is the leading proposal for demonstrating a computational advantage of quantum computers over classical computers. Recently, first large-scale implementations of quantum random sampling have arguably surpassed the…

量子物理 · 物理学 2023-07-21 Dominik Hangleiter , Jens Eisert

One of the reasons for the heated debates around the interpretations of quantum theory is a simple confusion between the notions of formalism versus interpretation. In this note, we make a clear distinction between them and show that there…

量子物理 · 物理学 2018-10-17 Veronika Baumann , Stefan Wolf

We study the ability of a social media platform with a political agenda to influence voting outcomes. Our benchmark is Condorcet's jury theorem, which states that the likelihood of a correct decision under majority voting increases with the…

理论经济学 · 经济学 2022-06-30 Ronen Gradwohl , Yuval Heller , Arye Hillman

We discuss the usefulness of quantum cloning and present examples of quantum computation tasks for which cloning offers an advantage which cannot be matched by any approach that does not resort to it. In these quantum computations, we need…

量子物理 · 物理学 2007-05-23 Gao Ting , Yan Feng-Li , Wang Zhi-Xi

We propose to define a notion of state of the opinion in order to link politician popularity estimations and voting intentions. We present two ways of modelling: a classical approach and quantum modelling. We test these ideas on data…

物理与社会 · 物理学 2024-11-18 François Dubois

The voting process is formalized as a multistage voting model with successive alternative elimination. A finite number of agents vote for one of the alternatives each round subject to their preferences. If the number of votes given to the…

最优化与控制 · 数学 2018-08-01 Oleg A. Malafeyev , Denis Rylow , Irina Zaitseva , Anna Ermakova , Dmitry Shlaev

This paper introduces a quantum-mechanical model that bridges the realms of cognition and quantum mechanics, offering a novel perspective on decision-making under risk and perceptual reversals. By integrating quantum theories addressing…

神经元与认知 · 定量生物学 2025-04-01 Ivan S. Maksymov , Ganna Pogrebna

Quantum processes describe concurrent communicating systems that may involve quantum information. We propose a notion of open bisimulation for quantum processes and show that it provides both a sound and complete proof methodology for a…

计算机科学中的逻辑 · 计算机科学 2012-01-04 Yuxin Deng , Yuan Feng

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…

综合物理 · 物理学 2025-10-22 Aleksandar Perisic

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…

综合金融 · 定量金融 2009-11-13 E. W. Piotrowski , J. Sladkowski

Quantum computing employs controllable interactions to perform sequences of logical gates and entire algorithms on quantum registers. This paradigm has been widely explored, e.g., for simulating dynamics of manybody systems by decomposing…

量子物理 · 物理学 2025-05-21 S. Alipour , A. T. Rezakhani , Alireza Tavanfar , K. Mölmer , T. Ala-Nissila

Human agents happen to judge that a conjunction of two terms is more probable than one of the terms, in contradiction with the rules of classical probabilities---this is the conjunction fallacy. One of the most discussed accounts of this…

物理与社会 · 物理学 2016-06-15 Thomas Boyer-Kassem , Sébastien Duchêne , Eric Guerci

Quantum walks provide simple models of various fundamental processes. It is pivotal to know when the dynamics underlying a walk lead to quantum advantages just by examining its statistics. A walk with many indistinguishable particles and…

量子物理 · 物理学 2015-11-03 Magdalena Stobińska , Peter P. Rohde , Paweł Kurzyński

Central to the power of quantum computing is the concept of quantum parallelism: quantum systems can explore and process multiple computational paths simultaneously. In this paper, we discuss the elusive nature of quantum parallelism,…

量子物理 · 物理学 2024-05-14 Stefano Markidis

In this paper, we propose a Quantum variation of combinatorial games, generalizing the Quantum Tic-Tac-Toe proposed by Allan Goff. A combinatorial game is a two-player game with no chance and no hidden information, such as Go or Chess. In…

离散数学 · 计算机科学 2018-03-06 Paul Dorbec , Mehdi Mhalla

We study computational problems for two popular parliamentary voting procedures: the amendment procedure and the successive procedure. While finding successful manipulations or agenda controls is tractable for both procedures, our…

计算机科学与博弈论 · 计算机科学 2015-09-09 Robert Bredereck , Jiehua Chen , Rolf Niedermeier , Toby Walsh

We develop a systematic approach to quantum probability as a theory of rational betting in quantum gambles. In these games of chance the agent is betting in advance on the outcomes of several (finitely many) incompatible measurements. One…

量子物理 · 物理学 2007-05-23 I. Pitowsky

Quantum Computing (QC) refers to an emerging paradigm that inherits and builds with the concepts and phenomena of Quantum Mechanic (QM) with the significant potential to unlock a remarkable opportunity to solve complex and computationally…

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