On Restoring a Quantum State after the Measurement

Earlier we built POVM, which is absolutely continuous relative to the scalar measure with a projector-valued density, and studied the quantum channel generated by it. In this paper, we consider the possibility of restoring states measured by the Davis–Lewis instrument. An experiment with two outcome...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2023-06, Vol.44 (6), p.1974-1979
Main Authors: Alekseev, A. O., Amosov, G. G.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
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Summary:Earlier we built POVM, which is absolutely continuous relative to the scalar measure with a projector-valued density, and studied the quantum channel generated by it. In this paper, we consider the possibility of restoring states measured by the Davis–Lewis instrument. An experiment with two outcomes is considered, and we compare two cases: with post-selection and without post-selection. We study how states are transformed in these cases and whether it is possible to restore them.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080223060069