Entanglement production in quantum decision making

Abstract

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.

Latex file, 7 pages

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Cited by in corpus (5)

• Uncertainty measurement with belief entropy on interference effect in Quantum-Like Bayesian Networks
• Quantum decision theory in simple risky choices
• Quantum decision making by social agents
• Evolutional entanglement production
• Manipulating decision making of typical agents