A qualitative approach to quantum probability

Ehud Lehrer; Eran Shmaya

doi:10.1098/rspa.2006.1672

A qualitative approach to quantum probability

Ehud Lehrer, Eran Shmaya^*

^*Corresponding author for this work

Managerial Economics, Decision Sciences and Operations

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	2331-2344
Number of pages	14
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	462
Issue number	2072
DOIs	https://doi.org/10.1098/rspa.2006.1672
State	Published - 2006

Keywords

Decision theory
Qualitative probability subjective probability
Quantum probability

ASJC Scopus subject areas

Mathematics(all)
Engineering(all)
Physics and Astronomy(all)

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10.1098/rspa.2006.1672

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A qualitative approach to quantum probability

Abstract

Keywords

ASJC Scopus subject areas

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