Geometric measure of mixing of quantum state

dc.contributor.author	Laba, H.P.
dc.contributor.author	Tkachuk, V.M.
dc.date.accessioned	2019-06-19T15:10:29Z
dc.date.available	2019-06-19T15:10:29Z
dc.date.issued	2018
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1607-324X
dc.identifier.other	PACS: 03.65.-w, 03.67.-a
dc.identifier.other	DOI:10.5488/CMP.21.33003
dc.identifier.other	arXiv:1809.09469
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/157111
dc.description.abstract	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.	uk_UA
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	We thank the Members of Editorial Board for the invitation to present our results in a special issue of Condensed Matter Physics dedicated to Prof. Stasyuk’s 80th birthday. I (VMT) have known Prof. Stasyuk since 1978 when he delivered the lectures on Green’s function method for students of theoretical physics department. The lectures were very interesting and I thank Prof. Stasyuk for that. We wish Prof. Stasyuk long scientific life and bright ideas in the future.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут фізики конденсованих систем НАН України	uk_UA
dc.relation.ispartof	Condensed Matter Physics
dc.title	Geometric measure of mixing of quantum state	uk_UA
dc.title.alternative	Геометрична мiра змiшаностi квантового стану	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA