Reduced State Uniquely Defines Groverian Measure of Original Pure State

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dc.creatorJung, Eylee
dc.creatorHwang, Mi-Ra
dc.creatorKim, Hungsoo
dc.creatorKim, Min-Soo
dc.creatorPark, DaeKil
dc.creatorSon, Jin-Woo
dc.creatorTamaryan, Sayatnova
dc.date2007-09-27
dc.date2008-05-15
dc.date.accessioned2026-07-07T09:44:54Z
dc.date.available2026-07-07T09:44:54Z
dc.descriptionGroverian and Geometric entanglement measures of the n-party pure state are expressed by the (n-1)-party reduced state density operator directly. This main theorem derives several important consequences. First, if two pure n-qudit states have reduced states of (n-1)-qudits, which are equivalent under local unitary(LU) transformations, then they have equal Groverian and Geometric entanglement measures. Second, both measures have an upper bound for pure states. However, this upper bound is reached only for two qubit systems. Third, it converts effectively the nonlinear eigenvalue problem for three qubit Groverian measure into linear eigenvalue equations. Some typical solutions of these linear equations are written explicitly and the features of the general solution are discussed in detail.
dc.descriptiontitle is changed, proofs are generalized to qudits and simplified, new analytic and numeric results are presented, new references are added, PRA version
dc.identifierhttps://arxiv.org/abs/0709.4292
dc.identifierhttp://arxiv.org/abs/0709.4292
dc.identifierPhys. Rev. A 77, 062317 (2008)
dc.identifierdoi:10.1103/PhysRevA.77.062317
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163035
dc.subjectQuantum Physics
dc.titleReduced State Uniquely Defines Groverian Measure of Original Pure State
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