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- W1874356552 abstract "In the past decades, quantum entanglement has been recognized to be the basic resource in quantum information theory. A fundamental need is then the understanding its qualification and its quantification: Is the quantum state entangled, and if it is, then how much entanglement is carried by that? These questions introduce the topics of separability criteria and entanglement measures, both of which are based on the issue of classification of multipartite entanglement. In this dissertation, after reviewing these three fundamental topics for finite dimensional Hilbert spaces, I present my contribution to knowledge. My main result is the elaboration of the partial separability classification of mixed states of quantum systems composed of arbitrary number of subsystems of Hilbert spaces of arbitrary dimensions. This problem is simple for pure states, however, for mixed states it has not been considered in full detail yet. I give not only the classification but also necessary and sufficient criteria for the classes, which make it possible to determine to which class a mixed state belongs. Moreover, these criteria are given by the vanishing of quantities measuring entanglement. Apart from these, I present some side results related to the entanglement of mixed states. These results are obtained in the learning phase of my studies and give some illustrations and examples." @default.
- W1874356552 created "2016-06-24" @default.
- W1874356552 creator A5064441022 @default.
- W1874356552 date "2013-02-19" @default.
- W1874356552 modified "2023-09-27" @default.
- W1874356552 title "Quantum entanglement in finite-dimensional Hilbert spaces" @default.
- W1874356552 cites W1410351213 @default.
- W1874356552 cites W1482224246 @default.
- W1874356552 cites W1491777397 @default.
- W1874356552 cites W1511226130 @default.
- W1874356552 cites W1512713374 @default.
- W1874356552 cites W1569532570 @default.
- W1874356552 cites W1571989874 @default.
- W1874356552 cites W1574861711 @default.
- W1874356552 cites W1607440767 @default.
- W1874356552 cites W1631356911 @default.
- W1874356552 cites W1725167044 @default.
- W1874356552 cites W1847580993 @default.
- W1874356552 cites W1883144804 @default.
- W1874356552 cites W1965194554 @default.
- W1874356552 cites W1965257300 @default.
- W1874356552 cites W1973013783 @default.
- W1874356552 cites W1974835734 @default.
- W1874356552 cites W1974928788 @default.
- W1874356552 cites W1976353241 @default.
- W1874356552 cites W1978553093 @default.
- W1874356552 cites W1980546963 @default.
- W1874356552 cites W1990059234 @default.
- W1874356552 cites W1997556859 @default.
- W1874356552 cites W1998749012 @default.
- W1874356552 cites W2000407553 @default.
- W1874356552 cites W2001795564 @default.
- W1874356552 cites W2003989474 @default.
- W1874356552 cites W2004304976 @default.
- W1874356552 cites W2011208902 @default.
- W1874356552 cites W2013328989 @default.
- W1874356552 cites W2016744140 @default.
- W1874356552 cites W2021117593 @default.
- W1874356552 cites W2024445223 @default.
- W1874356552 cites W2028815089 @default.
- W1874356552 cites W2032795441 @default.
- W1874356552 cites W2034920898 @default.
- W1874356552 cites W2037468132 @default.
- W1874356552 cites W2041057836 @default.
- W1874356552 cites W2043491679 @default.
- W1874356552 cites W2045917174 @default.
- W1874356552 cites W2045954942 @default.
- W1874356552 cites W2052912259 @default.
- W1874356552 cites W2053478324 @default.
- W1874356552 cites W2053939928 @default.
- W1874356552 cites W2054070842 @default.
- W1874356552 cites W2057509048 @default.
- W1874356552 cites W2059833994 @default.
- W1874356552 cites W2062258079 @default.
- W1874356552 cites W2062292260 @default.
- W1874356552 cites W2070217890 @default.
- W1874356552 cites W2071512496 @default.
- W1874356552 cites W2073781628 @default.
- W1874356552 cites W2076262893 @default.
- W1874356552 cites W2079031253 @default.
- W1874356552 cites W2079320104 @default.
- W1874356552 cites W2082014836 @default.
- W1874356552 cites W2085328135 @default.
- W1874356552 cites W2089895737 @default.
- W1874356552 cites W2090040356 @default.
- W1874356552 cites W2091887939 @default.
- W1874356552 cites W2092660787 @default.
- W1874356552 cites W2103713333 @default.
- W1874356552 cites W2116898717 @default.
- W1874356552 cites W2120002077 @default.
- W1874356552 cites W2125874872 @default.
- W1874356552 cites W2126136983 @default.
- W1874356552 cites W2131376671 @default.
- W1874356552 cites W2141140927 @default.
- W1874356552 cites W2154434103 @default.
- W1874356552 cites W2155049093 @default.
- W1874356552 cites W2161805108 @default.
- W1874356552 cites W2169515672 @default.
- W1874356552 cites W2224843830 @default.
- W1874356552 cites W2598196868 @default.
- W1874356552 cites W3099879538 @default.
- W1874356552 cites W3100476846 @default.
- W1874356552 cites W3101303778 @default.
- W1874356552 cites W3103364249 @default.
- W1874356552 cites W3103727585 @default.
- W1874356552 cites W3104269424 @default.
- W1874356552 cites W77694033 @default.
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