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Автор M S Byrd
Автор L J Boya
Автор M Mims
Автор E C G Sudarshan
Дата выпуска 2007-11-01
dc.description We discuss the geometry of states of quantum systems in an n-dimensional Hilbert space in terms of an explicit parameterization of all such systems. The geometry of the space of pure as well as mixed states for n-state systems is discussed. The parameterization is particularly useful since it allows for the simple construction and isolation of various physically meaningful subspaces of the space of all density matrices. This is used to describe possible geometric phases, their calculation, and analyze entropy and purity (or linear entropy) functions. In particular we provide conditions under which nontrivial abelian and/or nonabelian geometric phases aris in these subspaces in terms of the given parameterization, an explicit example is given, and multidimensional ientopic surfaces are discused.
Формат application.pdf
Издатель Institute of Physics Publishing
Копирайт © 2007 IOP Publishing Ltd
Название Geometry of n-state systems, pure and mixed
Тип paper
DOI 10.1088/1742-6596/87/1/012006
Electronic ISSN 1742-6596
Print ISSN 1742-6588
Журнал Journal of Physics: Conference Series
Том 87
Первая страница 12006
Последняя страница 12018
Выпуск 1

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