Quantum Probabilities: An Information‐Theoretic Interpretation

Jeffrey Bub

in Probabilities in Physics

Published in print September 2011 | ISBN: 9780199577439
Published online September 2011 | e-ISBN: 9780191730603 | DOI:
Quantum Probabilities: An Information‐Theoretic Interpretation

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This chapter develops a realist information-theoretic interpretation of the nonclassical features of quantum probabilities. To make plain these nonclassical features, quantum games are analyzed in which a ‘no-signaling’ constraint has to be satisfied. It is further shown how the Lüders Rule may be seen as an instruction how to update probabilities following some measurement. As conditionalization following this rule leads to inevitable losses of information, it is argued that quantum theory implies new constraints on information. A parallel is drawn to the Special Theory of Relativity: The geometric structure of Hilbert spaces imposes new, but objective probabilistic constraints on correlations between events, just as the geometric structure of Minkowski space in special relativity imposes new spatio-temporal kinematic constraints on events.

Keywords: probabilities; quantum mechanics; information theory; quantum games; 'no-signaling' constraint; realism; conditionalization; Lüders Rule

Chapter.  14967 words.  Illustrated.

Subjects: Philosophy of Science

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