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Quantum Studies-Mathematics and Foundations最新文献

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Nashian game theory is incompatible with quantum physics 纳什博弈论与量子物理学不相容
Q3 Mathematics Pub Date : 2023-09-28 DOI: 10.1007/s40509-023-00309-0
Michal Baczyk, Ghislain Fourny
Abstract We suggest to look at quantum measurement outcomes not through the lens of probability theory, but instead through decision theory. We introduce an original game-theoretical framework, model and algorithmic procedure where measurement scenarios are multiplayer games with a structure all observers agree on. Measurement axes and, newly, measurement outcomes are modeled as decisions with nature being an action-minimizing economic agent. We translate physical notions of causality, correlation, counterfactuals, and contextuality to particular aspects of game theory. We investigate the causal consistency of dynamic games with imperfect information from the quantum perspective and conclude that counterfactual dependencies should be distinguished from causation and correlation as a separate phenomenon of its own. Most significantly, we observe that game theory based on Nash equilibria stands in contradiction with a violation of Bell inequalities. Hence, we propose that quantum physics should be analyzed with non-Nashian game theory, the inner workings of which we demonstrate using our proposed model.
我们建议通过决策理论而不是概率论的视角来看待量子测量结果。我们引入了一个原始的游戏理论框架、模型和算法程序,其中测量场景是具有所有观察者都同意的结构的多人游戏。测量轴和新的测量结果被建模为决策,自然是一个行动最小化的经济主体。我们将因果关系,相关性,反事实和情境性的物理概念转化为博弈论的特定方面。我们从量子的角度研究了不完全信息动态博弈的因果一致性,并得出结论,反事实依赖应该与因果关系和相关性区分开来,作为一个独立的现象。最重要的是,我们观察到基于纳什均衡的博弈论与违反贝尔不等式是矛盾的。因此,我们建议量子物理学应该用非纳什博弈论来分析,我们使用我们提出的模型来演示其内部工作原理。
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引用次数: 1
Eigenvalues and threshold resonances of a two-dimensional split-step quantum walk with strong shift 二维强位移分步量子行走的特征值和阈值共振
IF 0.8 Q3 Mathematics Pub Date : 2023-08-18 DOI: 10.1007/s40509-023-00307-2
Toru Fuda, Daiju Funakawa, S. Sasayama, A. Suzuki
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引用次数: 0
On the relation between quantum walks and absolute zeta functions 论量子行走与绝对ζ函数的关系
IF 0.8 Q3 Mathematics Pub Date : 2023-06-26 DOI: 10.1007/s40509-023-00308-1
N. Konno
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引用次数: 1
Comment on “Position-dependent mass Schrödinger particles in space-like screw dislocation: associated degeneracies and magnetic and Aharonov–Bohm flux fields effects” 关于“类空间螺旋位错中与位置相关的质量薛定谔粒子:相关简并与磁场和Aharonov–Bohm通量场效应”的评论
IF 0.8 Q3 Mathematics Pub Date : 2023-06-23 DOI: 10.1007/s40509-023-00305-4
F. M. Fernández
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引用次数: 1
Multiparameter estimation for a two-qubit system coupled to independent reservoirs using quantum Fisher information 利用量子Fisher信息耦合到独立储层的双量子位系统的多参数估计
IF 0.8 Q3 Mathematics Pub Date : 2023-05-18 DOI: 10.1007/s40509-023-00303-6
S. Bukbech, K. El Anouz, Z. El Allali, N. Metwally, A. El Allati
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引用次数: 0
No composite systems in quaternionic quantum mechanics 四元量子力学中没有复合系统
IF 0.8 Q3 Mathematics Pub Date : 2023-05-02 DOI: 10.1007/s40509-023-00302-7
N. Goldstein
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引用次数: 0
Sharing nonlocality in a network using the quantum violation of chain network inequality 利用链式网络不等式的量子违反研究网络的非定域共享
IF 0.8 Q3 Mathematics Pub Date : 2023-04-24 DOI: 10.1007/s40509-023-00300-9
Rahul Kumar, A. K. Pan
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引用次数: 0
Entanglement concentration of multi-qubit entangled states: an IBM quantum experience 多量子位纠缠态的纠缠集中:IBM量子经验
IF 0.8 Q3 Mathematics Pub Date : 2023-03-08 DOI: 10.1007/s40509-023-00298-0
Jagat Ram, Dev Dutt, S. Dhiman, B. K. Behera, P. Panigrahi
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引用次数: 0
Quantum cryptography based on an algorithm for determining simultaneously all the mappings of a Boolean function 量子密码学基于同时确定布尔函数的所有映射的算法
IF 0.8 Q3 Mathematics Pub Date : 2023-02-10 DOI: 10.1007/s40509-023-00294-4
K. Nagata, Renata Wong, Do Ngoc Diep, Tadao Nakamura
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引用次数: 1
Schroedinger equation, spin and topology Schroedinger方程、自旋和拓扑
IF 0.8 Q3 Mathematics Pub Date : 2023-02-01 DOI: 10.1007/s40509-023-00295-3
S. C. Tiwari
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引用次数: 1
期刊
Quantum Studies-Mathematics and Foundations
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