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Proceedings Paper

Non-multiple non-equidimensional bases and unsharp measurements
Author(s): Dmitry V. Dodin; Ilya G. Kovalenko
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Paper Abstract

We consider a procedure of measurement of a quantum system in case when its dimension and the dimension of the basis of a measuring device relate as ratio of integer numbers. This procedure of measurement is introduced here as a "procedure of measurement in different-dimensional bases". We develop a new mathematical formalism describing this kind of measurement. It is demonstrated that when the dimension of the system is divisible by the dimension of basis for the measuring instrument, our results coincide with conventional theoretical developments. We consider measurement in different-dimensional bases as a kind of unsharp measurement.

Paper Details

Date Published: 29 April 2008
PDF: 6 pages
Proc. SPIE 7023, Quantum Informatics 2007, 702306 (29 April 2008); doi: 10.1117/12.801897
Show Author Affiliations
Dmitry V. Dodin, Volgograd State Univ. (Russia)
Ilya G. Kovalenko, Volgograd State Univ. (Russia)

Published in SPIE Proceedings Vol. 7023:
Quantum Informatics 2007
Yuri I. Ozhigov, Editor(s)

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