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Minimal Disturbance in Quantum Logic

Published online by Cambridge University Press:  31 January 2023

Sergio Martinez
Sergio Martinez*
Affiliation:
DePauw University
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In this paper I formalize the notion of minimal disturbance, as this seems to be required by usual interpretations of the theory of quantum mechanics, and construct a quantum logical (lattice) model of the type of situation that seems to be at the root of the problem of the interpretation of Luders’ projection rule as a criterion of minimal disturbance for individual state transformations. What is particularly interesting in the situation to be depicted here is that, on the basis of a simple model, which depends only on some very general features of the lattice structure of the theory (and its semantical interpretation), usual interpretive assumptions on minimal disturbance appear to be wanting.

If we restrict our attention to the statistics of measurement results, Luders’ rule can, easily be interpreted as a formula describing ‘minimal change’ for statistical states.

Type
Part III. Physics
Information
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association , Volume 1988 , Issue 1: Volume One: Contributed Papers 1988 , 1988 , pp. 83 - 88
Copyright
Copyright © Philosophy of Science Association 1988

References

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