Quantum probability and quantum decision-making | Zendy

V. I. Yukalov | Zendy; Didier Sornette | Zendy

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Quantum probability and quantum decision-making

Author(s) -

V. I. Yukalov,

Didier Sornette

Publication year - 2015

Publication title -

philosophical transactions of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.074

H-Index - 169

eISSN - 1471-2962

pISSN - 1364-503X

DOI - 10.1098/rsta.2015.0100

Subject(s) - quantum probability , observable , quantum process , quantum , quantum operation , quantum algorithm , mathematics , quantum capacity , decision theory , theoretical physics , statistical physics , computer science , open quantum system , quantum mechanics , physics , quantum dynamics , statistics

A rigorous general definition of quantum probability is given, which is valid not only for elementary events but also 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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