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 Euclidi...
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| Published in: | Condensed Matter Physics |
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| Date: | 2018 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут фізики конденсованих систем НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/157111 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Geometric measure of mixing of quantum state / H.P. Laba, V.M. Tkachuk // Condensed Matter Physics. — 2018. — Т. 21, № 3. — С. 33003: 1–4. — Бібліогр.: 7 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| 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.
Ми означаємо геометричну мiру змiшаностi квантоваго стану як мiнiмальну вiдстань Гiльберта-Шмiдта
мiж змiшаним станом та набором чистих станiв. Отримано явний вираз для геометричної мiри змiшаностi. Цiкавим є те, що цей вираз вiдповiдає квадрату евклiдової вiдстанi мiж змiшаним та чистим станами
у просторi власних значень матрицi густини. Як приклад, обчислено геометричну мiру змiшаностi станiв
спiна 1/2.
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| ISSN: | 1607-324X |