The Evolution of Quantum Measuring Devices

A quantum measuring device is introduced through a projective operator of any complete set of states that span the Hilbert space. Consequently, even a "bizarre" basis such as a basis of states composed of superpositions between location states, is legitimate despite its incomprehensible in...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 490; no. 1; p. 12055
Main Author Roth, Yehuda
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 11.03.2014
Subjects
Evolution
Hilbert space
Measuring instruments
Physics
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Summary:A quantum measuring device is introduced through a projective operator of any complete set of states that span the Hilbert space. Consequently, even a "bizarre" basis such as a basis of states composed of superpositions between location states, is legitimate despite its incomprehensible interpretation of a particle located in some places simultaneously. The collapse scenario that lies in the essence of any quantum measuring device, suggests that measurement is actually an interpretation process that translate reality into the predefined concepts determined by the particular selection of the basis of states. The very fact that there are bases that contradict "common sense" suggests that our brain by serving as a measuring and interpreting "device", selects only unique measuring processes. We suggest a procedure of nonlinear recursive maps that dominant an evolution of states toward few selected bases of states.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/490/1/012055