Entanglement production in quantum decision making

TL;DR

This paper develops a quantum decision theory framework that models decision prospects as complex vectors and operators, introducing a measure to quantify the entanglement and complexity involved in decision making processes.

Contribution

It formulates a quantum decision theory as a measurement process, defining a new entanglement measure for prospects and deriving explicit expressions for maximal entanglement.

Findings

Introduces a measure for entanglement in quantum decision prospects

Provides explicit formulas for maximal entanglement in multimode prospects

Links entanglement levels to decision complexity

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.