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 betw...
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| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2018
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/157111 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-157111 |
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irk-123456789-1571112019-06-20T01:25:46Z Geometric measure of mixing of quantum state Laba, H.P. Tkachuk, V.M. 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. 2018 Article 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. 1607-324X PACS: 03.65.-w, 03.67.-a DOI:10.5488/CMP.21.33003 arXiv:1809.09469 http://dspace.nbuv.gov.ua/handle/123456789/157111 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Laba, H.P. Tkachuk, V.M. |
| spellingShingle |
Laba, H.P. Tkachuk, V.M. Geometric measure of mixing of quantum state Condensed Matter Physics |
| author_facet |
Laba, H.P. Tkachuk, V.M. |
| author_sort |
Laba, H.P. |
| title |
Geometric measure of mixing of quantum state |
| title_short |
Geometric measure of mixing of quantum state |
| title_full |
Geometric measure of mixing of quantum state |
| title_fullStr |
Geometric measure of mixing of quantum state |
| title_full_unstemmed |
Geometric measure of mixing of quantum state |
| title_sort |
geometric measure of mixing of quantum state |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2018 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/157111 |
| citation_txt |
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. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT labahp geometricmeasureofmixingofquantumstate AT tkachukvm geometricmeasureofmixingofquantumstate |
| first_indexed |
2023-05-20T17:51:35Z |
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2023-05-20T17:51:35Z |
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1796154262442475520 |