Geometric measure of mixing of quantum state

We define the geometric measure of mixing of quantum state as a minimal Hilbert-Schmidt distance between the mixed state and a set of pure states. An explicit expression for the geometric measure is obtained. It is interesting that this expression corresponds to the squared Euclidian distance betwee...

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Bibliographic Details
Published inCondensed matter physics Vol. 21; no. 3; p. 33003
Main Authors Laba, H P, Tkachuk, V M
Format Journal Article
LanguageEnglish
Published Lviv Natsional'na Akademiya Nauk Ukrainy / National Academy of Sciences of Ukraine 01.01.2018
Institute for Condensed Matter Physics
Subjects
density matrix
Eigenvalues
Hilbert-Schmidt distance
mixed states
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Summary:We define the geometric measure of mixing of quantum state as a minimal Hilbert-Schmidt distance between the mixed state and a set of pure states. An explicit expression for the geometric measure is obtained. It is interesting that this expression corresponds to the squared Euclidian distance between the mixed state and the pure one in space of eigenvalues of the density matrix. As an example, geometric measure of mixing for spin-1/2 states is calculated.
ISSN:1607-324X
2224-9079
DOI:10.5488/CMP.21.33003