A Subjective Approach to Quantum Probability

17 Pages Posted: 30 Mar 2005

See all articles by Ehud Lehrer

Ehud Lehrer

Tel Aviv University - School of Mathematical Sciences

Eran Shmaya

Tel Aviv University - School of Mathematical Sciences

Date Written: March 6, 2005

Abstract

A likelihood order is defined over linear subspaces of a finite dimensional Hilbert space. It is shown that such an order that satisfies some plausible axioms can be represented by a quantum probability in two cases: pure state and uniform measure.

Keywords: likelihood ratio, quantum probability, representation, de-finetti axiom, cancelation

JEL Classification: D81, D89

Suggested Citation

Lehrer, Ehud and Shmaya, Eran, A Subjective Approach to Quantum Probability (March 6, 2005). Available at SSRN: https://ssrn.com/abstract=679782 or http://dx.doi.org/10.2139/ssrn.679782

Ehud Lehrer (Contact Author)

Tel Aviv University - School of Mathematical Sciences ( email )

Tel Aviv 69978
Israel

Eran Shmaya

Tel Aviv University - School of Mathematical Sciences ( email )

Tel Aviv 69978
Israel

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