A Qualitative Approach to Quantum Probability

A Qualitative Approach to Quantum Probability

A likelihood order is defined over linear subspaces of a finite dimensional Hilbert space. The question arises as to when such an order can be represented by a quantum probability. We introduce a few behaviorally plausible axioms that provide the answer in two cases: pure state and uniform measure....

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Bibliographische Detailangaben
Veröffentlicht in:Proceedings: Mathematical, Physical and Engineering Sciences. - The Royal Society. - 462(2006), 2072, Seite 2331-2344
1. Verfasser: Lehrer, Ehud (VerfasserIn)
Weitere Verfasser: Shmaya, Eran
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2006
Zugriff auf das übergeordnete Werk:Proceedings: Mathematical, Physical and Engineering Sciences
Schlagworte:qualitative probability subjective probability decision theory quantum probability Mathematics Physical sciences Behavioral sciences Philosophy
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520 |a A likelihood order is defined over linear subspaces of a finite dimensional Hilbert space. The question arises as to when such an order can be represented by a quantum probability. We introduce a few behaviorally plausible axioms that provide the answer in two cases: pure state and uniform measure. The general problem is answered by using duality-like conditions. The general problem of characterizing the partial orders that admit a quantum representation by behaviorally justified axioms remains open. 
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