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- W3100793034 abstract "We compute the volume of the convex N^2-1 dimensional set M_N of density matrices of size N with respect to the Hilbert-Schmidt measure. The hyper--area of the boundary of this set is also found and its ratio to the volume provides an information about the complex structure of M_N. Similar investigations are also performed for the smaller set of all real density matrices. As an intermediate step we analyze volumes of the unitary and orthogonal groups and of the flag manifolds." @default.
- W3100793034 created "2020-11-23" @default.
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- W3100793034 date "2003-09-15" @default.
- W3100793034 modified "2023-10-15" @default.
- W3100793034 title "Hilbert–Schmidt volume of the set of mixed quantum states" @default.
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- W3100793034 doi "https://doi.org/10.1088/0305-4470/36/39/310" @default.
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