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010   $a9783032001719$b(electronic bk.)
010   $z9783032001702
024 7 $a10.1007/978-3-032-00171-9
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035   $a(DE-He213)978-3-032-00171-9
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100   $a20251107d2025      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 12$aA Geometric Journey Toward Genuine Multipartite Entanglement /$fby Songbo Xie
205   $a1st ed. 2025.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025.
215   $a1 online resource (169 pages)
225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5061
311 08$aPrint version: Xie, Songbo A Geometric Journey Toward Genuine Multipartite Entanglement Cham : Springer,c2025 9783032001702 
327   $aPreliminary: Hilbert Space and Linear Operators -- Review: Bipartite Entanglement -- Breakthrough: Multipartite Entanglement -- Geometric Journey: Multipartite Entanglement -- Concluding Remarks.
330   $aThis thesis proposes a novel measure of quantum entanglement that can be used to characterize the degree of entanglement of three (or more) parties. Entanglement has been studied and used in many ways since Erwin Schrödinger defined and named it in 1935, but quantifiable measures of the degree of entanglement, known as concurrence, have long been limited to two quantum parties (two qubits, for example). Three-qubit states, which are known to be more reliable for teleportation of qubits than two-party entanglement, run into difficult criteria in entanglement-measure theory, and efforts to quantify a measure of genuine multipartite entanglement (GME) for three-qubit states have frustrated quantum theorists for decades. This work explores a novel triangle inequality among three-qubit concurrences and demonstrates that the area of a 3-qubit concurrence triangle provides the first measure of GME for 3-qubit systems. The proposed measure, denoted ?entropic fill,? has an intuitive interpretation related to the hypervolume of a simplex describing the relation between any subpart of the system with the rest. Importantly, entropic fill not only gives the first successful measure of GME for 3-party quantum systems, but also can be generalized into higher dimensions, providing a path to quantify quantum entanglement among many parties.
410  0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5061
606   $aQuantum computing
606   $aQuantum entanglement
606   $aCoding theory
606   $aInformation theory
606   $aConvex geometry
606   $aDiscrete geometry
606   $aQuantum Information
606   $aQuantum Correlation and Entanglement
606   $aCoding and Information Theory
606   $aConvex and Discrete Geometry
615  0$aQuantum computing.
615  0$aQuantum entanglement.
615  0$aCoding theory.
615  0$aInformation theory.
615  0$aConvex geometry.
615  0$aDiscrete geometry.
615 14$aQuantum Information.
615 24$aQuantum Correlation and Entanglement.
615 24$aCoding and Information Theory.
615 24$aConvex and Discrete Geometry.
676   $a530.12
676   $a003.54
700   $aXie$b Songbo$01855175
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
912   $a9911039325803321
996   $aA Geometric Journey Toward Genuine Multipartite Entanglement$94453166
997   $aUNINA