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A new approach to quantum measurement problem: cluster separability

arXiv
Authors: Petr Hajicek

Year

2010

Paper ID

10536

Status

Preprint

Abstract Read

~2 min

Abstract Words

163

Citations

N/A

Abstract

The paper describes a solution to the problem of quantum measurement that has been proposed recently. The literal understanding of the basic rule of quantum mechanics on identical particles violates the cluster separation principle and so leads to difficulties. A proposal due to Peres of how such difficulties could be removed is reformulated and extended. Cluster separability leads to a locality requirement on observables and to the key notion of separation status. Separation status of a microsystem is shown to change in preparation and registration processes. The indispensability of detectors plays an important role. Changes of separation status are alterations of kinematic description rather than some parts of dynamical trajectories and so more radical than 'collapse of the wave function'. Textbook quantum mechanics does not provide any information of how separation status changes run, hence new rules must be formulated. This enables to satisfy the objectification requirement for registrations. To show how the ideas work, a simplified model of registration apparatus is constructed.

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  • This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
  • It adds a 2010 reference point for readers tracking recent quantum research.
  • The paper describes a solution to the problem of quantum measurement that has been proposed recently.

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