Quantum probability and quantum decision making

January 11, 2016 Β· Declared Dead Β· πŸ› Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

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Authors V. I. Yukalov, D. Sornette arXiv ID 1601.02480 Category quant-ph: Quantum Computing Cross-listed cs.IT, physics.soc-ph Citations 47 Venue Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Last Checked 6 months ago
Abstract
A rigorous general definition of quantum probability is given, which is valid for elementary events and for composite events, for operationally testable measurements as well as for inconclusive measurements, and also for non-commuting observables in addition to commutative observables. Our proposed definition of quantum probability makes it possible to describe quantum measurements and quantum decision making on the same common mathematical footing. Conditions are formulated for the case when quantum decision theory reduces to its classical counterpart and for the situation where the use of quantum decision theory is necessary.
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