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arXiv 1003.3761quant-phmath-phmath.MP
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量子决策中的纠缠产生

Entanglement production in quantum decision making

V. I. Yukalov, D. Sornette

摘要:

最近引入的量子决策理论被表述为测量的量子理论。它描述了前景状态表示的复向量的希尔伯特空间的前景格。在这个空间中作用的前景算子形成一个对合双射代数。定义了一种度量,用于量化前景算子作用所产生的纠缠。这一措施的特点是复杂程度的前景参与决策。找到了多模前景算符产生的最大纠缠的显式表达式。

英文摘要:

The quantum decision theory introduced recently is formulated as a quantum theory of measurement. It describes prospect states represented by complex vectors of a Hilbert space over a prospect lattice. The prospect operators, acting in this space, form an involutive bijective algebra. A measure is defined for quantifying the entanglement produced by the action of prospect operators. This measure characterizes the level of complexity of prospects involved in decision making. An explicit expression is found for the maximal entanglement produced by the operators of multimode prospects.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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