Foundations of Physics 43 (7):895-911 (2013)

Abstract
There exist several phenomena breaking the classical probability laws. The systems related to such phenomena are context-dependent, so that they are adaptive to other systems. In this paper, we present a new mathematical formalism to compute the joint probability distribution for two event-systems by using concepts of the adaptive dynamics and quantum information theory, e.g., quantum channels and liftings. In physics the basic example of the context-dependent phenomena is the famous double-slit experiment. Recently similar examples have been found in biological and psychological sciences. Our approach is an extension of traditional quantum probability theory, and it is general enough to describe aforementioned contextual phenomena outside of quantum physics
Keywords Quantum information and probability  Quantum channel  Lifting  Interference  Double-slit experiment  Cognitive science  Cell biology  Non-Bayesian updating of probabilities
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s10701-013-9725-5
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 55,968
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Three-Slit Experiments and Quantum Nonlocality.Gerd Niestegge - 2013 - Foundations of Physics 43 (6):805-812.
Negative and Complex Probability in Quantum Information.Vasil Penchev - 2012 - Philosophical Alternatives (1):63-77.
Quantum Probability and Many Worlds.Meir Hemmo - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):333-350.
Logic, Probability, and Quantum Theory.Arthur I. Fine - 1968 - Philosophy of Science 35 (2):101-111.
Betting on the Outcomes of Measurements: A Bayesian Theory of Quantum Probability.Itamar Pitowsky - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (3):395-414.
Quantum Information Does Not Exist.Armond Duwell - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (3):479-499.
A Note on the 'Quantum Eraser'.William Seager - 1996 - Philosophy of Science 63 (1):81-90.

Analytics

Added to PP index
2013-06-19

Total views
132 ( #72,629 of 2,403,328 )

Recent downloads (6 months)
1 ( #551,892 of 2,403,328 )

How can I increase my downloads?

Downloads

My notes