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2022-03-05
摘要翻译:
我们提出了一个量子信息处理器件的一般理论,它可以应用于人类决策者、原子多模寄存器或分子高自旋寄存器。我们的量子决策理论是量子测量理论的推广,被赋予了作用环、前景格和概率算子测度。概率算子的代数起着局部可观测项代数的作用。由于前景的复合性质和概率算符的纠缠性质,出现了量子干涉项,使得作用不可交换,前景概率不可加。这一理论为解释经典效用理论在实际人类决策中的应用中的各种悖论提供了基础。我们的方法的主要优点是它被表述为一个自洽的数学理论,它允许我们不仅解释一种效果,而且实际上解释人类决策中所有已知的悖论。该方法具有通用性,可作为利用原子、分子和凝聚态系统表征量子信息处理的工具。
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英文标题:
《Quantum decision theory as quantum theory of measurement》
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作者:
V.I. Yukalov and D. Sornette
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最新提交年份:
2009
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分类信息:

一级分类:Physics        物理学
二级分类:Quantum Physics        量子物理学
分类描述:Description coming soon
描述即将到来
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一级分类:Computer Science        计算机科学
二级分类:Artificial Intelligence        人工智能
分类描述:Covers all areas of AI except Vision, Robotics, Machine Learning, Multiagent Systems, and Computation and Language (Natural Language Processing), which have separate subject areas. In particular, includes Expert Systems, Theorem Proving (although this may overlap with Logic in Computer Science), Knowledge Representation, Planning, and Uncertainty in AI. Roughly includes material in ACM Subject Classes I.2.0, I.2.1, I.2.3, I.2.4, I.2.8, and I.2.11.
涵盖了人工智能的所有领域,除了视觉、机器人、机器学习、多智能体系统以及计算和语言(自然语言处理),这些领域有独立的学科领域。特别地,包括专家系统,定理证明(尽管这可能与计算机科学中的逻辑重叠),知识表示,规划,和人工智能中的不确定性。大致包括ACM学科类I.2.0、I.2.1、I.2.3、I.2.4、I.2.8和I.2.11中的材料。
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英文摘要:
  We present a general theory of quantum information processing devices, that can be applied to human decision makers, to atomic multimode registers, or to molecular high-spin registers. Our quantum decision theory is a generalization of the quantum theory of measurement, endowed with an action ring, a prospect lattice and a probability operator measure. The algebra of probability operators plays the role of the algebra of local observables. Because of the composite nature of prospects and of the entangling properties of the probability operators, quantum interference terms appear, which make actions noncommutative and the prospect probabilities non-additive. The theory provides the basis for explaining a variety of paradoxes typical of the application of classical utility theory to real human decision making. The principal advantage of our approach is that it is formulated as a self-consistent mathematical theory, which allows us to explain not just one effect but actually all known paradoxes in human decision making. Being general, the approach can serve as a tool for characterizing quantum information processing by means of atomic, molecular, and condensed-matter systems.
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PDF链接:
https://arxiv.org/pdf/0903.5188
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